## Zanolin, Fabio

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 Author ID: zanolin.fabio Published as: Zanolin, Fabio; Zanolin, F.; Zenolin, Fabio more...less Homepage: http://www.math.sissa.it/users/fabio-zanolin External Links: MGP · ORCID · dblp
 Documents Indexed: 222 Publications since 1977 2 Contributions as Editor Co-Authors: 61 Co-Authors with 208 Joint Publications 963 Co-Co-Authors
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### Co-Authors

 16 single-authored 21 Omari, Pierpaolo 20 Mawhin, Jean L. 16 Manasevich, Raul F. 16 Villari, Gabriele 13 Capietto, Anna 12 Habets, Patrick 10 Feltrin, Guglielmo 10 Fonda, Alessandro 10 Frič, Roman 10 Papini, Duccio 9 Boscaggin, Alberto 9 Rebelo, Carlota 8 Ding, Tongren 8 Pireddu, Marina 7 Burra, Lakshmi 7 Gaudenzi, Marcellino 7 Invernizzi, Sergio 7 Pascoletti, Anna 7 Sovrano, Elisa 7 Zanini, Chiara 6 Fernandes, M. Lourdes C. 6 García-Huidobro, Marta 4 Margheri, Alessandro 4 Njoku, Franic Ikechukwu 3 Contessa, Maria 3 Iannacci, Rita 2 Dondè, Tobia 2 Gjata, Oltiana 2 Henrard, Marc 2 López-Gómez, Julián 2 Muñoz-Hernández, Eduardo 2 Ruiz-Herrera, Alfonso 2 Schneider, Zdenek 1 Afuwape, Anthony Uyi 1 Andres, Jan 1 Battauz, Anna 1 Cabada, Alberto 1 Carletti, Timoteo 1 Corsato, Chiara 1 Dalbono, Francesca 1 Dambrosio, Walter 1 Dikranjan, Dikran N. 1 Ellero, Elisa 1 Fernandez, M. L. C. 1 Gossez, Jean-Pierre 1 Hayashi, Makoto 1 Huang, Hai 1 Jebelean, Petru 1 Liu, Bin 1 López-Góme, Julián 1 Madotto, Matteo 1 Medio, Alfredo 1 Nkashama, Mubenga N. 1 Ortega, Rafael 1 Sabatini, Marco 1 Sanchez, Luís 1 Simon, Petr 1 Taddei, Valentina 1 Tellini, Andrea 1 Toader, Rodica 1 Torres, Pedro José
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### Serials

 19 Journal of Differential Equations 15 Journal of Mathematical Analysis and Applications 14 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 9 Differential and Integral Equations 9 Topological Methods in Nonlinear Analysis 9 Rapport. Séminaire de Mathématique. Nouvelle Série 9 Advanced Nonlinear Studies 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Czechoslovak Mathematical Journal 7 Nonlinear Analysis. Theory, Methods & Applications 6 Rendiconti del Seminario Matematico della Università di Padova 5 Discrete and Continuous Dynamical Systems 4 Archiv der Mathematik 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Transactions of the American Mathematical Society 3 Rendiconti del Seminario Matematico 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Dynamics and Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Advances in Differential Equations 3 Nonlinear Analysis. Real World Applications 3 Bollettino della Unione Matematica Italiana. Series V. A 2 Funkcialaj Ekvacioj. Serio Internacia 2 Journal of Computational and Applied Mathematics 2 Results in Mathematics 2 Rivista di Matemàtica Pura ed Applicata 2 Dynamic Systems and Applications 2 Bollettino della Unione Matemàtica Italiana. Serie VI. B 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Georgian Mathematical Journal 2 Electronic Journal of Qualitative Theory of Differential Equations 2 RIMS Kokyuroku 2 Communications in Contemporary Mathematics 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Communications on Pure and Applied Analysis 2 Boundary Value Problems 1 International Journal of Non-Linear Mechanics 1 Rocky Mountain Journal of Mathematics 1 Commentationes Mathematicae Universitatis Carolinae 1 Le Matematiche 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Applied Mathematics Letters 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Acta Mathematica Sinica. New Series 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Electronic Journal of Differential Equations (EJDE) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Opuscula Mathematica 1 Complexity 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Differential Equations and Dynamical Systems 1 Mediterranean Journal of Mathematics 1 Fixed Point Theory and Applications 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 CISM International Centre for Mechanical Sciences. Courses and Lectures 1 Journal of Fixed Point Theory and Applications 1 International Journal of Differential Equations 1 Abhandlungen der Akademie der Wissenschaften der DDR 1 Journal of Mathematics 1 Open Mathematics
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### Fields

 185 Ordinary differential equations (34-XX) 51 Dynamical systems and ergodic theory (37-XX) 43 Operator theory (47-XX) 26 General topology (54-XX) 12 Topological groups, Lie groups (22-XX) 12 Biology and other natural sciences (92-XX) 11 Partial differential equations (35-XX) 9 Mechanics of particles and systems (70-XX) 6 Group theory and generalizations (20-XX) 4 Algebraic topology (55-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

194 Publications have been cited 2,098 times in 1,070 Documents Cited by Year
Subharmonic solutions for some second-order differential equations with singularities. Zbl 0787.34035
Fonda, Alessandro; Manásevich, Raúl; Zanolin, Fabio
1993
Continuation theorems for periodic perturbations of autonomous systems. Zbl 0748.34025
Capietto, Anna; Mawhin, Jean; Zanolin, Fabio
1992
Upper and lower solutions for a generalized Emden-Fowler equation. Zbl 0801.34029
Habets, Patrick; Zanolin, Fabio
1994
Existence and multiplicity results for periodic solutions of semilinear Duffing equations. Zbl 0785.34033
Ding, Tongren; Iannacci, Rita; Zanolin, Fabio
1993
Periodic solutions of Duffing’s equations with superquadratic potential. Zbl 0763.34030
Ding, Tongren; Zanolin, Fabio
1992
A continuation approach to superlinear periodic boundary value problems. Zbl 0718.34053
Capietto, Anna; Mawhin, Jean; Zanolin, Fabio
1990
Permanence and positive periodic solutions for Kolmogorov competing species systems. Zbl 0765.92022
Zanolin, Fabio
1992
Periodic solutions of the Liénard equation with one-sided growth restrictions. Zbl 0615.34037
Omari, Pierpaolo; Villari, Gabriele; Zanolin, Fabio
1987
Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential. Zbl 0856.35046
Omari, Pierpaolo; Zanolin, Fabio
1996
On a dynamical system in the Liénard plane. Necessary and sufficient conditions for the intersection with the vertical isocline and applications. Zbl 0731.34049
Villari, Gabriele; Zanolin, Fabio
1990
Time-mappings and multiplicity of solutions for the one-dimensional $$p$$- Laplacian. Zbl 0792.34021
Manásevich, Raúl; Zanolin, Fabio
1993
Chaotic dynamics for maps in one and two dimensions: a geometrical method and applications to economics. Zbl 1182.37027
Medio, Alfredo; Pireddu, Marina; Zanolin, Fabio
2009
Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities. Zbl 0856.34051
Rebelo, C.; Zanolin, F.
1996
Maslov index, Poincaré-Birkhoff theorem and periodic solutions of asymptotically linear planar Hamiltonian systems. Zbl 1119.37323
Margheri, A.; Rebelo, C.; Zanolin, F.
2002
A Fredholm-like result for strongly nonlinear second order ODE’s. Zbl 0835.34028
García-Huidobro, Marta; Manásevich, Rául; Zanolin, Fabio
1994
Multiple positive solutions for a superlinear problem: a topological approach. Zbl 1322.34037
Feltrin, Guglielmo; Zanolin, Fabio
2015
High multiplicity and complexity of the bifurcation diagrams of large solutions for a class of superlinear indefinite problems. Zbl 1281.34027
López-Góme, Julián; Tellini, Andrea; Zanolin, Fabio
2014
Periodic solutions of perturbed Hamiltonian systems in the plane by the use of the Poincaré-Birkhoff theorem. Zbl 1277.34046
Fonda, Alessandro; Sabatini, Marco; Zanolin, Fabio
2012
On periodic solutions of sublinear Duffing equations. Zbl 0727.34030
Ding, Tongren; Iannacci, Rita; Zanolin, Fabio
1991
Subharmonic solutions of second order nonlinear equations: A time-map approach. Zbl 0778.34027
Ding, Tongren; Zanolin, Fabio
1993
Nonlinear perturbations of differential operators with nontrivial kernel and applications to third-order periodic boundary value problems. Zbl 0695.47044
Afuwape, Anthony Uyi; Omari, Pierpaolo; Zanolin, Fabio
1989
Periodic solutions of a second-order differential equation with one-sided growth restrictions on the restoring term. Zbl 0665.34045
Fernandes, Lourdes; Zanolin, Fabio
1988
Time-maps for the solvability of periodically perturbed nonlinear Duffing equations. Zbl 0777.34030
Ding, Tongren; Zanolin, Fabio
1991
On the periodic boundary value problem and chaotic-like dynamics for nonlinear Hills’s equations. Zbl 1069.34024
Papini, Duccio; Zanolin, Fabio
2004
On the use of time-maps for the solvability of nonlinear boundary value problems. Zbl 0766.34012
Fonda, Alessandro; Zanolin, Fabio
1992
An example of a superlinear problem with multiple positive solutions. Zbl 1221.34057
Gaudenzi, M.; Habets, P.; Zanolin, Fabio
2003
Pairs of positive periodic solutions of second order nonlinear equations with indefinite weight. Zbl 1243.34055
Boscaggin, Alberto; Zanolin, Fabio
2012
Continuation theorems for the periodic problem via the translation operator. Zbl 0933.34011
Zanolin, F.
1996
Coexistence states for periodic competitive Kolmogorov systems. Zbl 0911.34037
Battauz, Anna; Zanolin, Fabio
1998
Multiple periodic solutions and complex dynamics for second order ODEs via linked twist maps. Zbl 1211.34050
Pascoletti, A.; Pireddu, M.; Zanolin, F.
2008
A seven-positive-solutions theorem for a superlinear problem. Zbl 1067.34022
Gaudenzi, Marcellino; Habets, Patrick; Zanolin, Fabio
2004
Boundary blow-up for differential equations with indefinite weight. Zbl 1025.34012
Mawhin, Jean; Papini, Duccio; Zanolin, Fabio
2003
Periodic oscillations for a nonlinear suspension bridge model. Zbl 0810.73030
Fonda, Alessandro; Schneider, Zdenek; Zanolin, Fabio
1994
Positive solutions for the one-dimensional $$p$$-Laplacian. Zbl 0815.34015
Manásevich, R.; Njoku, F. I.; Zanolin, F.
1995
Fixed points, periodic points, and coin-tossing sequences for mappings defined on two-dimensional cells. Zbl 1086.37012
Papini, Duccio; Zanolin, Fabio
2004
A topological approach to superlinear indefinite boundary value problems. Zbl 0990.34019
Papini, Duccio; Zanolin, Fabio
2000
Multiplicity results for asymptotically linear equations, using the rotation number approach. Zbl 1188.34024
Dalbono, F.; Zanolin, Fabio
2007
Existence of positive solutions in the superlinear case via coincidence degree: the Neumann and the periodic boundary value problems. Zbl 1345.34031
Feltrin, Guglielmo; Zanolin, Fabio
2015
Second-order ordinary differential equations with indefinite weight: the Neumann boundary value problem. Zbl 1321.34034
Boscaggin, Alberto; Zanolin, Fabio
2015
Chaos in periodically perturbed planar Hamiltonian systems using linked twist maps. Zbl 1217.34072
Margheri, Alessandro; Rebelo, Carlota; Zanolin, Fabio
2010
On forced nonlinear oscillations in $$n$$th order differential systems with geometric conditions. Zbl 0542.34037
Omari, Pierpaolo; Zanolin, Fabio
1984
A continuation approach to some forced superlinear Sturm-Liouville boundary value problems. Zbl 0808.34028
Capietto, A.; Henrard, M.; Mawhin, J.; Zanolin, F.
1994
Infinitely many radial solutions to a boundary value problem in a ball. Zbl 1030.35071
Capietto, Anna; Dambrosio, Walter; Zanolin, Fabio
2001
Strongly nonlinear second-order ODEs with rapidly growing terms. Zbl 0991.34007
García-Huidobro, M.; Manásevich, R.; Zanolin, F.
1996
Multiplicity of positive periodic solutions in the superlinear indefinite case via coincidence degree. Zbl 1417.34063
Feltrin, Guglielmo; Zanolin, Fabio
2017
Periodic solutions of singular radially symmetric systems with superlinear growth. Zbl 1251.34056
Fonda, Alessandro; Toader, Rodica; Zanolin, Fabio
2012
Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the super-sublinear case. Zbl 1360.34088
Boscaggin, Alberto; Feltrin, Guglielmo; Zanolin, Fabio
2016
Strongly nonlinear second-order ODE’s with unilateral conditions. Zbl 0785.34023
García-Huidobro, Marta; Manásevich, Raúl; Zanolin, Fabio
1993
A note on nonlinear oscillations at resonance. Zbl 0648.34040
Omari, Pierpaolo; Zanolin, Fabio
1987
Infinitely many solutions for a Dirichlet problem with a nonhomogeneous $$p$$-Laplacian-like operator in a ball. Zbl 1023.35507
García-Huidobro, Marta; Manásevich, Raul; Zanolin, Fabio
1997
On the solvability of a semilinear two-point BVP around the first eigenvalue. Zbl 0715.34037
Fernandes, M. L. C.; Omari, P.; Zanolin, F.
1989
Continuation theorems for Ambrosetti-Prodi type periodic problems. Zbl 0963.34027
Mawhin, Jean; Rebelo, Carlota; Zanolin, Fabio
2000
A continuation approach to fourth order superlinear periodic boundary value problems. Zbl 0799.34024
Mawhin, J.; Zanolin, F.
1993
Positive periodic solutions of second order nonlinear equations with indefinite weight: multiplicity results and complex dynamics. Zbl 1237.34076
Boscaggin, Alberto; Zanolin, Fabio
2012
Positive solutions for two-point BVP’s: Existence and multiplicity results. Zbl 0704.34020
Njoku, F. I.; Zanolin, F.
1989
Repelling conditions for boundary sets using Lyapunov-like functions. II: Persistence and periodic solutions. Zbl 0719.34092
Fernandes, M. L. C.; Zanolin, F.
1990
Example of a suspension bridge ODE model exhibiting chaotic dynamics: a topological approach. Zbl 1139.34037
Pascoletti, Anna; Zanolin, Fabio
2008
Subharmonic solutions for nonlinear second order equations in presence of lower and upper solutions. Zbl 1275.34058
Boscaggin, Alberto; Zanolin, Fabio
2013
A nonlinear boundary value problem with potential oscillating around the first eigenvalue. Zbl 0821.34017
Habets, Patrick; Manásevich, Rául; Zanolin, Fabio
1995
A continuation theorem for periodic boundary value problems with oscillatory nonlinearities. Zbl 0824.34025
Capietto, Anna; Mawhin, Jean; Zanolin, Fabio
1995
Nonresonance conditions on the potential with respect to the Fučik spectrum for the periodic boundary value problem. Zbl 0852.34040
Habets, Patrick; Omari, Pierpaolo; Zanolin, Fabio
1995
An elliptic problem with arbitrarily small positive solutions. Zbl 0959.35059
Omari, Pierpaolo; Zanolin, Fabio
2000
Periodic points and chaotic-like dynamics of planar maps associated to nonlinear Hill’s equations with indefinite weight. Zbl 1015.37027
Papini, Duccio; Zanolin, Fabio
2002
Indefinite weight nonlinear problems with Neumann boundary conditions. Zbl 1387.34040
Sovrano, Elisa; Zanolin, Fabio
2017
A priori bounds and periodic solutions for a class of planar systems with applications to Lotka-Volterra equations. Zbl 0877.34035
Ding, Tongren; Huang, Hai; Zanolin, Fabio
1995
Boundedness of solutions of nonlinear differential equations. Zbl 0909.34035
Liu, Bin; Zanolin, Fabio
1998
Periodic solutions and subharmonic solutions for a class of planar systems of Lotka-Volterra type. Zbl 0846.34032
Ding, Tongren; Zanolin, Fabio
1996
On the existence of two solutions with a prescribed number of zeros for a superlinear two-point boundary value problem. Zbl 0849.34018
Capietto, Anna; Mawhin, Jean; Zanolin, Fabio
1995
Periodic solutions of forced Liénard equations with jumping nonlinearities under nonuniform conditions. Zbl 0693.34046
Iannacci, R.; Nkashama, M. N.; Omari, P.; Zanolin, F.
1988
On convergence groups with dense coarse subgroups. Zbl 0637.22002
Dikranjan, Dikran; Frič, Roman; Zanolin, Fabio
1987
On the existence of periodic solutions of forced Liénard differential equations. Zbl 0644.34030
Omari, Pierpaolo; Zanolin, Fabio
1987
Bound sets, periodic solutions and flow-invariance for ordinary differential equations in $${\mathbb{R}}^ n:$$ some remarks. Zbl 0651.34049
Zanolin, Fabio
1987
Positive solutions for super-sublinear indefinite problems: high multiplicity results via coincidence degree. Zbl 1393.34038
Boscaggin, Alberto; Feltrin, Guglielmo; Zanolin, Fabio
2018
Subharmonic solutions of the prescribed curvature equation. Zbl 1341.34046
Corsato, Chiara; Omari, Pierpaolo; Zanolin, Fabio
2016
Bifurcation from a periodic orbit in perturbed planar Hamiltonian systems. Zbl 1039.70012
Henrard, Marc; Zanolin, Fabio
2003
Existence results for forced nonlinear periodic BVPs at resonance. Zbl 0589.34005
Omari, Pierpaolo; Zanolin, Fabio
1985
Remarks on strongly flow-invariant sets. Zbl 0657.34045
Fernandes, M. L.; Zanolin, F.
1987
Repelling conditions for boundary sets using Liapunov-like functions. I: Flow-invariance, terminal value problem and weak persistence. Zbl 0672.34048
Fernandes, M. L. C.; Zanolin, F.
1988
Positive solutions of superlinear boundary value problems with singular indefinite weight. Zbl 1048.34046
Gaudenzi, M.; Habets, P.; Zanolin, F.
2003
Cutting surfaces and applications to periodic points and chaotic-like dynamics. Zbl 1155.37010
Pireddu, Marina; Zanolin, Fabio
2007
Pairs of nodal solutions for a class of nonlinear problems with one-sided growth conditions. Zbl 1286.34031
Boscaggin, Alberto; Zanolin, Fabio
2013
Strict completions of $${\mathcal L}^*_ 0$$-groups. Zbl 0797.54007
Frič, R.; Zanolin, F.
1992
A continuation theorem for the periodic BVP in flow-invariant ENRs with applications. Zbl 0712.34034
Capieto, Anna; Zanolin, Fabio
1990
Multiplicity of positive radial solutions of a quasilinear elliptic problem in a ball. Zbl 0989.35055
Njoku, Franic Ikechukwu; Omari, Pierpaolo; Zanolin, Fabio
2000
On a pseudo Fučik spectrum for strongly nonlinear second-order ODEs and an existence result. Zbl 0811.34014
García-Huidobro, Marta; Manásevich, Raúl; Zanolin, Fabio
1994
Ambrosetti-Prodi periodic problem under local coercivity conditions. Zbl 1459.34075
Sovrano, Elisa; Zanolin, Fabio
2018
Chaotic dynamics in the Volterra predator-prey model via linked twist maps. Zbl 1167.34341
Pireddu, Marina; Zanolin, Fabio
2008
On the uniqueness of the limit cycle for the Liénard equation, via comparison method for the energy level curves. Zbl 1369.34048
Villari, Gabriele; Zanolin, Fabio
2016
Nonresonance conditions on the potential for a second-order periodic boundary value problem. Zbl 0766.34020
Omari, Pierpaolo; Zanolin, Fabio
1993
Periodic solutions of complex-valued differential equations and systems with periodic coefficients. Zbl 0848.34027
Manásevich, Raul; Mawhin, Jean; Zanolin, Fabio
1996
Remarks on multiple periodic solutions for nonlinear ordinary differential systems of Lienard type. Zbl 0506.34040
Zanolin, Fabio
1982
Positive solutions of singular boundary value problems with indefinite weight. Zbl 1048.34045
Gaudenzi, M.; Habets, P.; Zanolin, F.
2002
Some results on periodic points and chaotic dynamics arising from the study of the nonlinear Hill equations. Zbl 1179.47050
Papini, Duccio; Zanolin, Fabio
2007
Subharmonic solutions of the forced pendulum equation: a symplectic approach. Zbl 1303.34028
Boscaggin, A.; Ortega, R.; Zanolin, F.
2014
Chaotic dynamics in periodically forced asymmetric ordinary differential equations. Zbl 1160.37349
Pascoletti, Anna; Zanolin, Fabio
2009
Coarse sequential convergence in groups, etc. Zbl 0747.54002
Frič, Roman; Zanolin, Fabio
1990
Twist conditions and periodic solutions of differential equations. Zbl 0867.34032
Rebelo, C.; Zanolin, F.
1996
An example of chaotic dynamics in 3D systems via stretching along paths. Zbl 1368.37049
Ruiz-Herrera, Alfonso; Zanolin, Fabio
2014
Periodic solutions of a differential delay equation of Rayleigh type. Zbl 0429.34064
Invernizzi, S.; Zanolin, F.
1979
Periodic solutions for differential systems of Rayleigh type. Zbl 0467.34030
Zanolin, Fabio
1980
On the qualitative behavior of a class of generalized Liénard planar systems. Zbl 07491607
Villari, Gabriele; Zanolin, Fabio
2022
Bound sets for a class of $$\varphi$$-Laplacian operators. Zbl 1483.34041
Feltrin, Guglielmo; Zanolin, Fabio
2021
An example of chaotic dynamics for the motion of a charged particle in a magnetic field. Zbl 1453.34063
Gjata, Oltiana; Zanolin, Fabio
2020
Multiple periodic solutions for one-sided sublinear systems: a refinement of the Poincaré-Birkhoff approach. Zbl 1472.34076
Dondè, Tobia; Zanolin, Fabio
2020
On the applicability of the Poincaré-Birkhoff twist theorem to a class of planar periodic predator-prey models. Zbl 1441.34060
López-Gómez, Julián; Muñoz-Hernández, Eduardo; Zanolin, Fabio
2020
Periodic solutions to parameter-dependent equations with a $$\phi$$-Laplacian type operator. Zbl 1434.34037
Feltrin, Guglielmo; Sovrano, Elisa; Zanolin, Fabio
2019
Chaotic dynamics in a periodically perturbed Liénard system. Zbl 1463.34163
Papini, Duccio; Villari, Gabriele; Zanolin, Fabio
2019
Periodically perturbed superlinear Duffing type equations with singularities: subharmonic solutions and complex dynamics. Zbl 1436.34037
Lakshmi, Burra S.; Zanolin, Fabio
2019
Existence and non-existence of limit cycles for Liénard prescribed curvature equations. Zbl 1460.34038
Mawhin, Jean; Villari, Gabriele; Zanolin, Fabio
2019
Positive solutions for super-sublinear indefinite problems: high multiplicity results via coincidence degree. Zbl 1393.34038
Boscaggin, Alberto; Feltrin, Guglielmo; Zanolin, Fabio
2018
Ambrosetti-Prodi periodic problem under local coercivity conditions. Zbl 1459.34075
Sovrano, Elisa; Zanolin, Fabio
2018
On the uniqueness of the limit cycle for the Liénard equation with $$f(x)$$ not sign-definite. Zbl 1383.34054
Villari, Gabriele; Zanolin, Fabio
2018
On the uniqueness of limit cycle for certain Liénard systems without symmetry. Zbl 1413.34125
Hayashi, Makoto; Villari, Gabriele; Zanolin, Fabio
2018
Multiplicity of positive periodic solutions in the superlinear indefinite case via coincidence degree. Zbl 1417.34063
Feltrin, Guglielmo; Zanolin, Fabio
2017
Indefinite weight nonlinear problems with Neumann boundary conditions. Zbl 1387.34040
Sovrano, Elisa; Zanolin, Fabio
2017
The Ambrosetti-Prodi periodic problem: different routes to complex dynamics. Zbl 1390.34116
Sovrano, Elisa; Zanolin, Fabio
2017
An application of coincidence degree theory to cyclic feedback type systems associated with nonlinear differential operators. Zbl 1404.34048
Feltrin, Guglielmo; Zanolin, Fabio
2017
A periodic problem for first-order differential equations with locally coercive nonlinearities. Zbl 1448.34085
Sovrano, Elisa; Zanolin, Fabio
2017
Complex dynamics in a ODE model related to phase transition. Zbl 1387.34068
Papini, Duccio; Zanolin, Fabio
2017
Pairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the super-sublinear case. Zbl 1360.34088
Boscaggin, Alberto; Feltrin, Guglielmo; Zanolin, Fabio
2016
Subharmonic solutions of the prescribed curvature equation. Zbl 1341.34046
Corsato, Chiara; Omari, Pierpaolo; Zanolin, Fabio
2016
On the uniqueness of the limit cycle for the Liénard equation, via comparison method for the energy level curves. Zbl 1369.34048
Villari, Gabriele; Zanolin, Fabio
2016
Non-singular solutions of a Rayleigh-Plesset equation under a periodic pressure field. Zbl 1379.37142
Burra, Lakshmi; Zanolin, Fabio
2016
A generalized approach for the modeling of Goodwin-type cycles. Zbl 1414.91284
Madotto, Matteo; Gaudenzi, Marcellino; Zanolin, Fabio
2016
Multiple positive solutions for a superlinear problem: a topological approach. Zbl 1322.34037
Feltrin, Guglielmo; Zanolin, Fabio
2015
Existence of positive solutions in the superlinear case via coincidence degree: the Neumann and the periodic boundary value problems. Zbl 1345.34031
Feltrin, Guglielmo; Zanolin, Fabio
2015
Second-order ordinary differential equations with indefinite weight: the Neumann boundary value problem. Zbl 1321.34034
Boscaggin, Alberto; Zanolin, Fabio
2015
Horseshoes in 3D equations with applications to Lotka-Volterra systems. Zbl 1327.34076
Ruiz-Herrera, Alfonso; Zanolin, Fabio
2015
Remarks on Dirichlet problems with sublinear growth at infinity. Zbl 1348.35071
Sovrano, Elisa; Zanolin, Fabio
2015
High multiplicity and complexity of the bifurcation diagrams of large solutions for a class of superlinear indefinite problems. Zbl 1281.34027
López-Góme, Julián; Tellini, Andrea; Zanolin, Fabio
2014
Subharmonic solutions of the forced pendulum equation: a symplectic approach. Zbl 1303.34028
Boscaggin, A.; Ortega, R.; Zanolin, F.
2014
An example of chaotic dynamics in 3D systems via stretching along paths. Zbl 1368.37049
Ruiz-Herrera, Alfonso; Zanolin, Fabio
2014
Dolcher fixed point theorem and its connections with recent developments on compressive/ expansive maps. Zbl 1362.37080
Sovrano, Elisa; Zanolin, Fabio
2014
Subharmonic solutions for nonlinear second order equations in presence of lower and upper solutions. Zbl 1275.34058
Boscaggin, Alberto; Zanolin, Fabio
2013
Pairs of nodal solutions for a class of nonlinear problems with one-sided growth conditions. Zbl 1286.34031
Boscaggin, Alberto; Zanolin, Fabio
2013
Homoclinic and heteroclinic solutions for a class of second-order non-autonomous ordinary differential equations: multiplicity results for stepwise potentials. Zbl 1297.34060
Ellero, Elisa; Zanolin, Fabio
2013
From the Poincaré-Birkhoff fixed point theorem to linked twist maps: some applications to planar Hamiltonian systems. Zbl 1312.37035
Pascoletti, Anna; Zanolin, Fabio
2013
Complex dynamics in pendulum-type equations with variable length. Zbl 1296.34112
Margheri, Alessandro; Rebelo, Carlota; Zanolin, Fabio
2013
A crossing lemma for annular regions and invariant sets with an application to planar dynamical systems. Zbl 1486.54068
Pascoletti, Anna; Zanolin, Fabio
2013
Periodic solutions of perturbed Hamiltonian systems in the plane by the use of the Poincaré-Birkhoff theorem. Zbl 1277.34046
Fonda, Alessandro; Sabatini, Marco; Zanolin, Fabio
2012
Pairs of positive periodic solutions of second order nonlinear equations with indefinite weight. Zbl 1243.34055
Boscaggin, Alberto; Zanolin, Fabio
2012
Periodic solutions of singular radially symmetric systems with superlinear growth. Zbl 1251.34056
Fonda, Alessandro; Toader, Rodica; Zanolin, Fabio
2012
Positive periodic solutions of second order nonlinear equations with indefinite weight: multiplicity results and complex dynamics. Zbl 1237.34076
Boscaggin, Alberto; Zanolin, Fabio
2012
Periodic solutions for a class of second order ODEs with a Nagumo cubic type nonlinearity. Zbl 1380.34067
Zanini, Chiara; Zanolin, Fabio
2012
An example of chaos for a cubic nonlinear Schrödinger equation with periodic inhomogeneous nonlinearity. Zbl 1266.34073
Zanini, Chiara; Zanolin, Fabio
2012
A topological approach to bend-twist maps with applications. Zbl 1246.37066
Pascoletti, Anna; Zanolin, Fabio
2011
Splitting the Fučík spectrum and the number of solutions to a quasilinear ODE. Zbl 1264.34032
García-Huidobro, Marta; Manásevich, Raúl; Zanolin, Fabio
2011
Chaos in periodically perturbed planar Hamiltonian systems using linked twist maps. Zbl 1217.34072
Margheri, Alessandro; Rebelo, Carlota; Zanolin, Fabio
2010
Chaotic dynamics in a vertically driven planar pendulum. Zbl 1191.34057
Burra, Lakshmi; Zanolin, Fabio
2010
A path crossing lemma and applications to nonlinear second order equations under slowly varying perturbations. Zbl 1246.34039
Pascoletti, Anna; Zanolin, Fabio
2010
Chaotic dynamics for maps in one and two dimensions: a geometrical method and applications to economics. Zbl 1182.37027
Medio, Alfredo; Pireddu, Marina; Zanolin, Fabio
2009
Chaotic dynamics in periodically forced asymmetric ordinary differential equations. Zbl 1160.37349
Pascoletti, Anna; Zanolin, Fabio
2009
Correction to “Cutting surfaces and applications to periodic points and chaotic-like dynamics”. Zbl 1180.37016
Pireddu, Marina; Zanolin, Fabio
2009
Complex dynamics in a nerve fiber model with periodic coefficients. Zbl 1165.34318
Zanini, Chiara; Zanolin, Fabio
2009
Chaotic dynamics in a simple class of Hamiltonian systems with applications to a pendulum with variable length. Zbl 1240.37039
Burra, Lakshmi; Zanolin, Fabio
2009
Connected branches of initial points for asymptotic BVPs, with application to heteroclinic and homoclinic solutions. Zbl 1190.34027
Margheri, Alessandro; Rebelo, Carlota; Zanolin, Fabio
2009
Multiple periodic solutions and complex dynamics for second order ODEs via linked twist maps. Zbl 1211.34050
Pascoletti, A.; Pireddu, M.; Zanolin, F.
2008
Example of a suspension bridge ODE model exhibiting chaotic dynamics: a topological approach. Zbl 1139.34037
Pascoletti, Anna; Zanolin, Fabio
2008
Chaotic dynamics in the Volterra predator-prey model via linked twist maps. Zbl 1167.34341
Pireddu, Marina; Zanolin, Fabio
2008
Multiplicity of periodic solutions for differential equations arising in the study of a nerve fiber model. Zbl 1195.92011
Zanini, Chiara; Zanolin, Fabio
2008
Multiplicity results for asymptotically linear equations, using the rotation number approach. Zbl 1188.34024
Dalbono, F.; Zanolin, Fabio
2007
Cutting surfaces and applications to periodic points and chaotic-like dynamics. Zbl 1155.37010
Pireddu, Marina; Zanolin, Fabio
2007
Some results on periodic points and chaotic dynamics arising from the study of the nonlinear Hill equations. Zbl 1179.47050
Papini, Duccio; Zanolin, Fabio
2007
Bound sets and two-point boundary value problems for second order differential equations. Zbl 1133.34013
2007
Some remarks on fixed points for maps which are expansive along one direction. Zbl 1154.54026
Pireddu, Marina; Zanolin, Fabio
2007
A multiplicity result of periodic solutions for parameter dependent asymmetric non-autonomous equations. Zbl 1086.34039
Zanini, Chiara; Zanolin, Fabio
2005
A geometric approach to periodically forced dynamical systems in presence of a separatrix. Zbl 1080.34023
Villari, Gabriele; Zanolin, Fabio
2005
Fixed points for dissipative-repulsive systems and topological dynamics of mappings defined on $$N$$-dimensional cells. Zbl 1101.47042
Pireddu, Marina; Zanolin, Fabio
2005
Positive periodic solutions for ordinary differential equations arising in the study of nerve fiber models. Zbl 1229.34065
Zanini, C.; Zanolin, F.
2005
On the periodic boundary value problem and chaotic-like dynamics for nonlinear Hills’s equations. Zbl 1069.34024
Papini, Duccio; Zanolin, Fabio
2004
A seven-positive-solutions theorem for a superlinear problem. Zbl 1067.34022
Gaudenzi, Marcellino; Habets, Patrick; Zanolin, Fabio
2004
Fixed points, periodic points, and coin-tossing sequences for mappings defined on two-dimensional cells. Zbl 1086.37012
Papini, Duccio; Zanolin, Fabio
2004
An example of a superlinear problem with multiple positive solutions. Zbl 1221.34057
Gaudenzi, M.; Habets, P.; Zanolin, Fabio
2003
Boundary blow-up for differential equations with indefinite weight. Zbl 1025.34012
Mawhin, Jean; Papini, Duccio; Zanolin, Fabio
2003
Bifurcation from a periodic orbit in perturbed planar Hamiltonian systems. Zbl 1039.70012
Henrard, Marc; Zanolin, Fabio
2003
Positive solutions of superlinear boundary value problems with singular indefinite weight. Zbl 1048.34046
Gaudenzi, M.; Habets, P.; Zanolin, F.
2003
Maslov index, Poincaré-Birkhoff theorem and periodic solutions of asymptotically linear planar Hamiltonian systems. Zbl 1119.37323
Margheri, A.; Rebelo, C.; Zanolin, F.
2002
Periodic points and chaotic-like dynamics of planar maps associated to nonlinear Hill’s equations with indefinite weight. Zbl 1015.37027
Papini, Duccio; Zanolin, Fabio
2002
Positive solutions of singular boundary value problems with indefinite weight. Zbl 1048.34045
Gaudenzi, M.; Habets, P.; Zanolin, F.
2002
A continuation theorem with applications to periodically forced Liénard equations in the presence of a separatrix. Zbl 1072.34043
Zanolin, Fabio; Villari, Gabriele
2002
Infinitely many radial solutions to a boundary value problem in a ball. Zbl 1030.35071
Capietto, Anna; Dambrosio, Walter; Zanolin, Fabio
2001
A geometric approach with applications to periodically forced dynamical systems in the plane. Zbl 1047.34511
Villari, Gabriele; Zanolin, Fabio
2001
A topological approach to superlinear indefinite boundary value problems. Zbl 0990.34019
Papini, Duccio; Zanolin, Fabio
2000
Continuation theorems for Ambrosetti-Prodi type periodic problems. Zbl 0963.34027
Mawhin, Jean; Rebelo, Carlota; Zanolin, Fabio
2000
An elliptic problem with arbitrarily small positive solutions. Zbl 0959.35059
Omari, Pierpaolo; Zanolin, Fabio
2000
Multiplicity of positive radial solutions of a quasilinear elliptic problem in a ball. Zbl 0989.35055
Njoku, Franic Ikechukwu; Omari, Pierpaolo; Zanolin, Fabio
2000
On the existence and multiplicity of branches of nodal solutions for a class of parameter-dependent Sturm-Liouville problems via the shooting map. Zbl 0986.34019
Rebelo, C.; Zanolin, F.
2000
Periodic motion of a system of two or three charged particles. Zbl 0970.34036
Torres, Pedro J.; Zanolin, Fabio
2000
Periodic solutions of some complex-valued Liénard and Rayleigh equations. Zbl 0980.34041
Manásevich, Raúl; Mawhin, Jean; Zanolin, Fabio
1999
Periodic solutions for differential systems of cyclic feedback type. Zbl 0982.34039
Capietto, A.; Qian, D.; Zanolin, F.
1999
Coexistence states for periodic competitive Kolmogorov systems. Zbl 0911.34037
Battauz, Anna; Zanolin, Fabio
1998
Boundedness of solutions of nonlinear differential equations. Zbl 0909.34035
Liu, Bin; Zanolin, Fabio
1998
Bounded solutions of nonlinear second order ordinary differential equations. Zbl 0954.34027
Fonda, Alessandro; Zanolin, Fabio
1998
Time-maps and boundary value problems for ordinary differential equations. Zbl 0987.34014
Zanolin, Fabio
1998
Infinitely many solutions for a Dirichlet problem with a nonhomogeneous $$p$$-Laplacian-like operator in a ball. Zbl 1023.35507
García-Huidobro, Marta; Manásevich, Raul; Zanolin, Fabio
1997
Relatively coarse sequential convergence. Zbl 0897.54002
Frič, R.; Zanolin, F.
1997
Periodic oscillations of forced pendulums with very small length. Zbl 0865.34033
Fonda, Alessandro; Zanolin, Fabio
1997
Infinitely many solutions of a quasilinear elliptic problem with an oscillatory potential. Zbl 0856.35046
Omari, Pierpaolo; Zanolin, Fabio
1996
Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities. Zbl 0856.34051
Rebelo, C.; Zanolin, F.
1996
Continuation theorems for the periodic problem via the translation operator. Zbl 0933.34011
Zanolin, F.
1996
...and 94 more Documents
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### Cited by 893 Authors

 103 Zanolin, Fabio 35 Fonda, Alessandro 34 Omari, Pierpaolo 32 O’Regan, Donal 31 Boscaggin, Alberto 26 Agarwal, Ravi P. 21 Qian, Dingbian 20 Cheng, Zhibo 20 Mawhin, Jean L. 19 Feltrin, Guglielmo 19 López-Gómez, Julián 19 Wang, Zaihong 18 Lu, Shiping 18 Torres, Pedro José 17 Ge, Weigao 16 Frič, Roman 14 Dambrosio, Walter 14 Ma, Ruyun 14 Sfecci, Andrea 14 Sovrano, Elisa 14 Yang, Xiaojing 13 Jiang, Daqing 13 Villari, Gabriele 12 Chu, Jifeng 12 Molica Bisci, Giovanni 12 Zhang, Meirong 11 Rebelo, Carlota 10 Andres, Jan 10 Capietto, Anna 10 Garrione, Maurizio 10 Xin, Yun 9 Habets, Patrick 9 Lu, Haishen 9 Ma, Tiantian 9 Margheri, Alessandro 9 Obersnel, Franco 9 Ren, Jingli 9 Ruiz-Herrera, Alfonso 8 Cabada, Alberto 8 Li, Xiong 8 Liang, Zaitao 8 Manasevich, Raul F. 8 Tellini, Andrea 8 Yan, Baoqiang 7 Bonanno, Gabriele 7 Drábek, Pavel 7 Franca, Matteo 7 Li, Yong 7 Malaguti, Luisa 7 Papini, Duccio 7 Rădulescu, Vicenţiu D. 7 Zamora, Manuel 6 Burra, Lakshmi 6 Dalbono, Francesca 6 Fernandes, M. Lourdes C. 6 García-Huidobro, Marta 6 Gidoni, Paolo 6 Kristály, Alexandru 6 Liu, Qihuai 6 Malík, Josef 6 Ortega, Rafael 6 Sugie, Jitsuro 6 Toader, Rodica 6 Yan, Ping 5 Ahmad, Shair 5 Gossez, Jean-Pierre 5 He, Zhiqian 5 Kong, Fanchao 5 Li, Shengjun 5 López Pouso, Rodrigo 5 Maire, Luis 5 Makarenkov, Oleg Yuryĭovych 5 Papageorgiou, Nikolaos S. 5 Pei, Minghe 5 Rachůnková, Irena 5 Spadini, Marco 5 Tineo, Antonio R. 5 Wang, Youyu 5 Zanini, Chiara 5 Zhang, Ziheng 4 Aghajani, Asadollah 4 Bereanu, Cristian 4 Buică, Adriana 4 Colasuonno, Francesca 4 De Coster, Colette 4 Ding, Tongren 4 Fabry, Christian 4 Han, Maoan 4 Huang, Lihong 4 Iannacci, Rita 4 Invernizzi, Sergio 4 Kamenskiĭ, Mikhaĭl Igor’evich 4 Kiguradze, Ivan Tarielovich 4 Li, Yongxiang 4 Matucci, Serena 4 Muñoz-Hernández, Eduardo 4 Nkashama, Mubenga N. 4 Pan, Hongjing 4 Pascoletti, Anna 4 Pireddu, Marina ...and 793 more Authors
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### Cited in 170 Serials

 118 Journal of Mathematical Analysis and Applications 97 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 90 Journal of Differential Equations 45 Nonlinear Analysis. Theory, Methods & Applications 40 Boundary Value Problems 33 Applied Mathematics and Computation 33 Nonlinear Analysis. Real World Applications 27 Advanced Nonlinear Studies 23 Czechoslovak Mathematical Journal 22 Annali di Matematica Pura ed Applicata. Serie Quarta 20 Advances in Difference Equations 19 Computers & Mathematics with Applications 17 Discrete and Continuous Dynamical Systems 15 Abstract and Applied Analysis 14 Applied Mathematics Letters 14 NoDEA. Nonlinear Differential Equations and Applications 14 Acta Mathematica Sinica. English Series 14 Journal of Fixed Point Theory and Applications 11 Results in Mathematics 11 Journal of Dynamics and Differential Equations 10 Journal of Computational and Applied Mathematics 10 Monatshefte für Mathematik 10 Mathematical and Computer Modelling 9 Proceedings of the American Mathematical Society 9 Applications of Mathematics 8 Mathematical Methods in the Applied Sciences 8 Topological Methods in Nonlinear Analysis 7 Rocky Mountain Journal of Mathematics 7 Mathematica Slovaca 7 Acta Mathematicae Applicatae Sinica. English Series 7 Communications on Pure and Applied Analysis 6 Journal of Mathematical Biology 6 Archiv der Mathematik 6 Transactions of the American Mathematical Society 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Applied Mathematics. Series B (English Edition) 6 Journal of Difference Equations and Applications 6 Communications in Contemporary Mathematics 6 AIMS Mathematics 5 Applicable Analysis 5 Nonlinearity 5 Mathematische Nachrichten 5 Rendiconti del Seminario Matematico della Università di Padova 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Positivity 5 Journal of Applied Mathematics and Computing 5 Journal of Function Spaces 5 Open Mathematics 4 Chaos, Solitons and Fractals 4 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 4 Topology and its Applications 4 Zeitschrift für Analysis und ihre Anwendungen 4 Applied Mathematics and Mechanics. (English Edition) 4 Electronic Journal of Differential Equations (EJDE) 4 Journal of Inequalities and Applications 4 Qualitative Theory of Dynamical Systems 4 Discrete and Continuous Dynamical Systems. Series B 3 Bulletin of the Australian Mathematical Society 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 3 Nonlinear Dynamics 3 Discrete Dynamics in Nature and Society 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Dynamical and Control Systems 3 Journal of Applied Mathematics 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Discrete and Continuous Dynamical Systems. Series S 3 International Journal of Differential Equations 3 Advances in Nonlinear Analysis 2 Mathematical Biosciences 2 Mathematical Notes 2 Ukrainian Mathematical Journal 2 Journal of Functional Analysis 2 Numerical Functional Analysis and Optimization 2 Acta Applicandae Mathematicae 2 Bulletin of the Iranian Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Numerical Mathematics 2 Science in China. Series A 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Opuscula Mathematica 2 Mathematical Problems in Engineering 2 Journal of Applied Analysis 2 Taiwanese Journal of Mathematics 2 Differential Equations 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Portugaliae Mathematica. Nova Série 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Function Spaces and Applications 2 Fixed Point Theory 2 Nonlinear Oscillations 2 Frontiers of Mathematics in China 2 Set-Valued and Variational Analysis 1 Communications in Mathematical Physics 1 International Journal of Control 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica ...and 70 more Serials
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### Cited in 40 Fields

 852 Ordinary differential equations (34-XX) 237 Operator theory (47-XX) 153 Dynamical systems and ergodic theory (37-XX) 139 Partial differential equations (35-XX) 83 Biology and other natural sciences (92-XX) 37 General topology (54-XX) 31 Mechanics of particles and systems (70-XX) 27 Global analysis, analysis on manifolds (58-XX) 24 Difference and functional equations (39-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 12 Numerical analysis (65-XX) 11 Mechanics of deformable solids (74-XX) 10 Topological groups, Lie groups (22-XX) 8 Integral equations (45-XX) 6 Functional analysis (46-XX) 6 Algebraic topology (55-XX) 6 Fluid mechanics (76-XX) 5 Real functions (26-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Systems theory; control (93-XX) 4 Group theory and generalizations (20-XX) 4 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)