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Battelli, Flaviano

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Author ID: battelli.flaviano Recent zbMATH articles by "Battelli, Flaviano"
Published as: Batteli, Flaviono; Battelli, F.; Battelli, Falviano; Battelli, Flaviano
Documents Indexed: 74 Publications since 1982, including 1 Book
all top 5

Serials

10 Journal of Differential Equations
6 Journal of Dynamics and Differential Equations
4 Differential and Integral Equations
3 Journal of Mathematical Analysis and Applications
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Bollettino della Unione Matemàtica Italiana. Serie VII. B
3 Discrete and Continuous Dynamical Systems. Series B
3 Advanced Nonlinear Studies
2 Mathematical Biosciences
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Discrete and Continuous Dynamical Systems
2 Boundary Value Problems
2 Discrete and Continuous Dynamical Systems. Series S
2 Nonlinear Analysis. Theory, Methods & Applications
1 Ukraïns’kyĭ Matematychnyĭ Zhurnal
1 Mathematica Slovaca
1 Bollettino della Unione Matemàtica Italiana. Serie VI. D. Algebra e Geometria
1 Rendiconti. Scienze Matemàtiche e Applicazioni. A
1 IMA Journal of Mathematics Applied in Medicine and Biology
1 Dynamic Systems and Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Grazer Mathematische Berichte
1 Topological Methods in Nonlinear Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 Advances in Differential Equations
1 Dynamics of Continuous, Discrete and Impulsive Systems
1 Communications in Applied Analysis
1 Nonlinear Dynamics
1 Communications in Nonlinear Science and Numerical Simulation
1 Annales Mathematicae Silesianae
1 Communications on Pure and Applied Analysis
1 Dynamics of Partial Differential Equations
1 Handbook of Differential Equations

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 268 times in 176 Documents Cited by Year
Exponential dichotomies, heteroclinic orbits, and Melnikov functions. Zbl 0713.34055
Battelli, Flaviano; Lazzari, Claudio
41
1990
Chaos in the Duffing equation. Zbl 0772.34040
Battelli, Flaviano; Palmer, Kenneth J.
29
1993
Bifurcation and chaos near sliding homoclinics. Zbl 1196.34054
Battelli, Flaviano; Fečkan, Michal
22
2010
Homoclinic trajectories in discontinuous systems. Zbl 1162.34028
Battelli, Flaviano; Fečkan, Michal
18
2008
Criteria for exponential dichotomy for triangular systems. Zbl 1318.34072
Battelli, Flaviano; Palmer, Kenneth J.
12
2015
On the chaotic behaviour of discontinuous systems. Zbl 1234.34029
Battelli, Flaviano; Fečkan, Michal
12
2011
Subharmonic solutions in singular systems. Zbl 0887.34029
Battelli, Flaviano; Fečkan, Michal
10
1996
Chaos in singular impulsive O. D. E. Zbl 0919.34016
Battelli, Flaviano; Fečkan, Michal
8
1997
Melnikov theory for nonlinear implicit ODEs. Zbl 1293.34015
Battelli, Flaviano; Fečkan, Michal
6
2014
An example of chaotic behaviour in presence of a sliding homoclinic orbit. Zbl 1206.34061
Battelli, Flaviano; Fečkan, Michal
6
2010
Heteroclinic orbits in singular systems: A unifying approach. Zbl 0804.34047
Battelli, Flaviano
6
1994
Nonlinear RLC circuits and implicit ODEs. Zbl 1340.34044
Battelli, Flaviano; Fečkan, Michal
5
2014
On positive solutions of the scalar curvature equation when the curvature has variable sign. Zbl 1042.34550
Battelli, Flaviano; Johnson, Russell
5
2001
Heteroclinic orbits in systems with slowly varying coefficients. Zbl 0784.34037
Battelli, Flaviano; Lazzari, Claudio
5
1993
On the pseudo-steady-state approximation and Tikhonov theorem for general enzyme systems. Zbl 0581.92010
Battelli, Flaviano; Lazzari, Claudio
5
1985
On the existence of solutions connecting singularities in nonlinear RLC circuits. Zbl 1318.34013
Battelli, Flaviano; Fečkan, Michal
4
2015
Chaos in forced impact systems. Zbl 1266.34074
Battelli, Flaviano; Fečkan, Michal
4
2013
A remark about Sil’nikov saddle-focus homoclinic orbits. Zbl 1238.34089
Battelli, Flaviano; Palmer, Ken
4
2011
Singular perturbations, transversality, and Sil’nikov saddle-focus homoclinic orbits. Zbl 1040.34065
Battelli, Flaviano; Palmer, Kenneth J.
4
2003
Chaos arising near a topologically transversal homoclinic set. Zbl 1028.37017
Battelli, Flaviano; Fečkan, Michal
4
2002
Some remarks on the Melnikov function. Zbl 1002.34034
Battelli, Flaviano; Fečkan, Michal
4
2002
Bounded solutions to singularly perturbed systems of O. D. E. Zbl 0762.34035
Battelli, Flaviano; Lazzari, Claudio
4
1992
Tangencies between stable and unstable manifolds. Zbl 0764.34038
Battelli, Flaviano; Palmer, Kenneth J.
4
1992
Singular perturbation theory for open enzyme reaction networks. Zbl 0612.92006
Battelli, Flaviano; Lazzari, Claudio
4
1986
Melnikov theory for weakly coupled nonlinear RLC circuits. Zbl 1315.34018
Battelli, Flaviano; Fečkan, Michal
3
2014
Singular ground states for the scalar curvature equation in \(\mathbb R^N\). Zbl 1161.35379
Battelli, Flaviano; Johnson, Russell
3
2001
Dichotomies and stability in singularly perturbed systems of ODE. Zbl 0696.34035
Battelli, Flaviano; Lazzari, Claudio
3
1987
On the existence of solutions connecting IK singularities and impasse points in fully nonlinear RLC circuits. Zbl 1368.34019
Battelli, Flaviano; Fečkan, Michal
2
2017
Blue sky-like catastrophe for reversible nonlinear implicit ODEs. Zbl 1357.34022
Battelli, Flaviano; Fečkan, Michal
2
2016
Fast-slow dynamical approximation of forced impact systems near periodic solutions. Zbl 1296.34093
Battelli, Flaviano; Fečkan, Michal
2
2013
Chaos in the beam equation. Zbl 1082.35019
Battelli, Flaviano; Fečkan, Michal
2
2005
Homoclinic orbits of slowly periodically forced and weakly damped beams resting on weakly elastic bearings. Zbl 1036.35019
Battelli, Flaviano; Fečkan, Michal
2
2003
On transversal smoothness of invariant manifolds. Zbl 1085.34527
Battelli, Flaviano; Johnson, Russell
2
2001
Perturbing two-dimensional maps having critical homoclinic orbits. Zbl 1089.37530
Battelli, Flaviano; Lazzari, Claudio
2
1999
On the bifurcation from critical homoclinic orbits in \(N\)-dimensional maps. Zbl 0948.37035
Battelli, Flaviano; Lazzari, Claudio
2
1997
Small solutions of certain boundary value problems. Zbl 0897.34019
Battelli, F.; Fečkan, M.
2
1997
Bifurcation from heteroclinic orbits with semi-hyperbolic equilibria. Zbl 0813.34046
Battelli, Flaviano
2
1994
Perturbing diffeomorphisms which have heteroclinic orbits with semi- hyperbolic fixed points. Zbl 0807.58034
Battelli, Flaviano
2
1994
Strongly exponentially separated linear systems. Zbl 1421.34009
Battelli, Flaviano; Palmer, Kenneth J.
1
2019
Dynamics of generalized PT-symmetric dimers with time-periodic gain-loss. Zbl 1347.35213
Battelli, F.; Diblík, J.; Fečkan, M.; Pickton, J.; Pospíšil, M.; Susanto, H.
1
2015
Connections to fixed points and Sil’nikov saddle-focus homoclinic orbits in singularly perturbed systems. Zbl 1156.37308
Battelli, F.; Palmer, K. J.
1
2008
Heteroclinic connections in singularly perturbed systems. Zbl 1155.34023
Battelli, Flaviano; Palmer, Ken
1
2008
Saddle-node bifurcation of homoclinic orbits in singular systems. Zbl 1023.34034
Battelli, Flaviano
1
2001
Transverse intersection of invariant manifolds in singular systems. Zbl 1198.37028
Batteli, Flaviono; Palmer, Kenneth J.
1
2001
Discrete dichotomies and bifurcations from critical homoclinic orbits. Zbl 0959.37041
Battelli, Flaviano; Lazzari, Claudio
1
1998
Heteroclinic period blow-up in certain symmetric ordinary differential equations. Zbl 0871.34029
Battelli, Flaviano; Fečkan, Michal
1
1996
Exponentially small bifurcation functions in singular systems of O.D.E. Zbl 0853.34035
Battelli, Flaviano
1
1996
On the bifurcation from heteroclinic cycles with a semi-hyperbolic equilibrium. Zbl 0799.34045
Battelli, Flaviano
1
1994
Generalized Melnikov functions and existence of bounded solutions in systems with parameters. Zbl 0677.34038
Battelli, Flaviano; Lazzari, Claudio
1
1989
Strongly exponentially separated linear systems. Zbl 1421.34009
Battelli, Flaviano; Palmer, Kenneth J.
1
2019
On the existence of solutions connecting IK singularities and impasse points in fully nonlinear RLC circuits. Zbl 1368.34019
Battelli, Flaviano; Fečkan, Michal
2
2017
Blue sky-like catastrophe for reversible nonlinear implicit ODEs. Zbl 1357.34022
Battelli, Flaviano; Fečkan, Michal
2
2016
Criteria for exponential dichotomy for triangular systems. Zbl 1318.34072
Battelli, Flaviano; Palmer, Kenneth J.
12
2015
On the existence of solutions connecting singularities in nonlinear RLC circuits. Zbl 1318.34013
Battelli, Flaviano; Fečkan, Michal
4
2015
Dynamics of generalized PT-symmetric dimers with time-periodic gain-loss. Zbl 1347.35213
Battelli, F.; Diblík, J.; Fečkan, M.; Pickton, J.; Pospíšil, M.; Susanto, H.
1
2015
Melnikov theory for nonlinear implicit ODEs. Zbl 1293.34015
Battelli, Flaviano; Fečkan, Michal
6
2014
Nonlinear RLC circuits and implicit ODEs. Zbl 1340.34044
Battelli, Flaviano; Fečkan, Michal
5
2014
Melnikov theory for weakly coupled nonlinear RLC circuits. Zbl 1315.34018
Battelli, Flaviano; Fečkan, Michal
3
2014
Chaos in forced impact systems. Zbl 1266.34074
Battelli, Flaviano; Fečkan, Michal
4
2013
Fast-slow dynamical approximation of forced impact systems near periodic solutions. Zbl 1296.34093
Battelli, Flaviano; Fečkan, Michal
2
2013
On the chaotic behaviour of discontinuous systems. Zbl 1234.34029
Battelli, Flaviano; Fečkan, Michal
12
2011
A remark about Sil’nikov saddle-focus homoclinic orbits. Zbl 1238.34089
Battelli, Flaviano; Palmer, Ken
4
2011
Bifurcation and chaos near sliding homoclinics. Zbl 1196.34054
Battelli, Flaviano; Fečkan, Michal
22
2010
An example of chaotic behaviour in presence of a sliding homoclinic orbit. Zbl 1206.34061
Battelli, Flaviano; Fečkan, Michal
6
2010
Homoclinic trajectories in discontinuous systems. Zbl 1162.34028
Battelli, Flaviano; Fečkan, Michal
18
2008
Connections to fixed points and Sil’nikov saddle-focus homoclinic orbits in singularly perturbed systems. Zbl 1156.37308
Battelli, F.; Palmer, K. J.
1
2008
Heteroclinic connections in singularly perturbed systems. Zbl 1155.34023
Battelli, Flaviano; Palmer, Ken
1
2008
Chaos in the beam equation. Zbl 1082.35019
Battelli, Flaviano; Fečkan, Michal
2
2005
Singular perturbations, transversality, and Sil’nikov saddle-focus homoclinic orbits. Zbl 1040.34065
Battelli, Flaviano; Palmer, Kenneth J.
4
2003
Homoclinic orbits of slowly periodically forced and weakly damped beams resting on weakly elastic bearings. Zbl 1036.35019
Battelli, Flaviano; Fečkan, Michal
2
2003
Chaos arising near a topologically transversal homoclinic set. Zbl 1028.37017
Battelli, Flaviano; Fečkan, Michal
4
2002
Some remarks on the Melnikov function. Zbl 1002.34034
Battelli, Flaviano; Fečkan, Michal
4
2002
On positive solutions of the scalar curvature equation when the curvature has variable sign. Zbl 1042.34550
Battelli, Flaviano; Johnson, Russell
5
2001
Singular ground states for the scalar curvature equation in \(\mathbb R^N\). Zbl 1161.35379
Battelli, Flaviano; Johnson, Russell
3
2001
On transversal smoothness of invariant manifolds. Zbl 1085.34527
Battelli, Flaviano; Johnson, Russell
2
2001
Saddle-node bifurcation of homoclinic orbits in singular systems. Zbl 1023.34034
Battelli, Flaviano
1
2001
Transverse intersection of invariant manifolds in singular systems. Zbl 1198.37028
Batteli, Flaviono; Palmer, Kenneth J.
1
2001
Perturbing two-dimensional maps having critical homoclinic orbits. Zbl 1089.37530
Battelli, Flaviano; Lazzari, Claudio
2
1999
Discrete dichotomies and bifurcations from critical homoclinic orbits. Zbl 0959.37041
Battelli, Flaviano; Lazzari, Claudio
1
1998
Chaos in singular impulsive O. D. E. Zbl 0919.34016
Battelli, Flaviano; Fečkan, Michal
8
1997
On the bifurcation from critical homoclinic orbits in \(N\)-dimensional maps. Zbl 0948.37035
Battelli, Flaviano; Lazzari, Claudio
2
1997
Small solutions of certain boundary value problems. Zbl 0897.34019
Battelli, F.; Fečkan, M.
2
1997
Subharmonic solutions in singular systems. Zbl 0887.34029
Battelli, Flaviano; Fečkan, Michal
10
1996
Heteroclinic period blow-up in certain symmetric ordinary differential equations. Zbl 0871.34029
Battelli, Flaviano; Fečkan, Michal
1
1996
Exponentially small bifurcation functions in singular systems of O.D.E. Zbl 0853.34035
Battelli, Flaviano
1
1996
Heteroclinic orbits in singular systems: A unifying approach. Zbl 0804.34047
Battelli, Flaviano
6
1994
Bifurcation from heteroclinic orbits with semi-hyperbolic equilibria. Zbl 0813.34046
Battelli, Flaviano
2
1994
Perturbing diffeomorphisms which have heteroclinic orbits with semi- hyperbolic fixed points. Zbl 0807.58034
Battelli, Flaviano
2
1994
On the bifurcation from heteroclinic cycles with a semi-hyperbolic equilibrium. Zbl 0799.34045
Battelli, Flaviano
1
1994
Chaos in the Duffing equation. Zbl 0772.34040
Battelli, Flaviano; Palmer, Kenneth J.
29
1993
Heteroclinic orbits in systems with slowly varying coefficients. Zbl 0784.34037
Battelli, Flaviano; Lazzari, Claudio
5
1993
Bounded solutions to singularly perturbed systems of O. D. E. Zbl 0762.34035
Battelli, Flaviano; Lazzari, Claudio
4
1992
Tangencies between stable and unstable manifolds. Zbl 0764.34038
Battelli, Flaviano; Palmer, Kenneth J.
4
1992
Exponential dichotomies, heteroclinic orbits, and Melnikov functions. Zbl 0713.34055
Battelli, Flaviano; Lazzari, Claudio
41
1990
Generalized Melnikov functions and existence of bounded solutions in systems with parameters. Zbl 0677.34038
Battelli, Flaviano; Lazzari, Claudio
1
1989
Dichotomies and stability in singularly perturbed systems of ODE. Zbl 0696.34035
Battelli, Flaviano; Lazzari, Claudio
3
1987
Singular perturbation theory for open enzyme reaction networks. Zbl 0612.92006
Battelli, Flaviano; Lazzari, Claudio
4
1986
On the pseudo-steady-state approximation and Tikhonov theorem for general enzyme systems. Zbl 0581.92010
Battelli, Flaviano; Lazzari, Claudio
5
1985
all top 5

Cited by 231 Authors

33 Fečkan, Michal
27 Battelli, Flaviano
9 Franca, Matteo
7 Li, Shuangbao
7 Zhang, Wei
6 Hao, Yuxin
6 Lazzari, Claudio
6 Palmer, Kenneth James
6 Zanolin, Fabio
6 Zhu, Changrong
5 Balasuriya, Sanjeeva
5 Liang, Feng
5 Liu, Xingbo
5 Pospíšil, Michal
5 Zhang, Weinian
4 Gruendler, Joseph
4 Sfecci, Andrea
4 Zeng, Weiyao
4 Zhu, Deming
3 Castañeda, Alvaro
3 Doan, Thai Son
3 Feng, Zhaosheng
3 Han, Maoan
3 Lin, Xiaobiao
3 Tian, Ruilan
2 Burra, Lakshmi
2 Calamai, Alessandro
2 Cao, Jinde
2 Cuong, Le Viet
2 Diblík, Josef
2 Du, Zhengdong
2 Gao, Yunfei
2 Gonchenko, Sergey V.
2 Gonchenko, V. S.
2 Jin, Yinlai
2 Johnson, Russell Allan
2 Long, Bin
2 Lu, Kening
2 Luo, Guangping
2 Ma, Wensai
2 Makarenkov, Oleg Yuryĭovych
2 Novaes, Douglas Duarte
2 Peng, Linping
2 Pi, Dingheng
2 Rasmussen, Martin
2 Robledo, Gonzalo
2 Shen, Chao
2 Shen, Jun
2 Susanto, Hery
2 Teixeira, Marco Antonio
2 Wang, Jinrong
2 Xu, Han
2 Yang, Xinwei
2 Zhang, Xiang
2 Zhou, Yufeng
1 Achleitner, Franz
1 Agusto, Folashade B.
1 Aizicovici, Sergiu
1 Akhmet, Marat Ubaydulla
1 Awrejcewicz, Jan
1 Babiarz, Artur
1 Bahi-Jaber, Narges
1 Bai, Yuzhen
1 Barajas-Ramírez, Juan-Gonzalo
1 Beran, Zdeněk
1 Bian, Xiaoli
1 Boĭchuk, Oleksandr Andriĭovych
1 Bollt, Erik M.
1 Boswell, Graeme P.
1 Bülbül, Berna
1 Cao, Qingjie
1 Capietto, Anna
1 Čelikovsý, Sergej
1 Changrong, Zhu
1 Chen-Charpentier, Benito M.
1 Chiarelli, Sandra
1 Cicogna, Giampaolo
1 Colombo, Giovanni
1 Cristiano, Rony
1 Czornik, Adam
1 Da Silva, Paulo Ricardo
1 Dalbono, Francesca
1 Dambrosio, Walter
1 Davidson, Fordyce A.
1 de Carvalho, Tiago
1 Deng, Guifeng
1 Ding, Benyan
1 Duan, Hongbo
1 Duan, Zhisheng
1 Eilertsen, Justin S.
1 Etchechoury, María del Rosario
1 Fabbri, Roberta
1 Fan, Meng
1 Fang, Hui
1 Fen, Mehmet Onur
1 Feng, Wenjie
1 Flores, Isabel
1 Fonda, Alessandro
1 Franco-López, Arturo
1 Gao, Junming
...and 131 more Authors
all top 5

Cited in 58 Serials

17 Journal of Differential Equations
16 Journal of Dynamics and Differential Equations
16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
11 Nonlinear Dynamics
10 Journal of Mathematical Analysis and Applications
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Nonlinear Analysis. Theory, Methods & Applications
6 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Physica D
4 Mathematical Biosciences
4 Mathematica Slovaca
4 Boundary Value Problems
3 Regular and Chaotic Dynamics
3 Discrete and Continuous Dynamical Systems. Series B
3 Advanced Nonlinear Studies
2 Journal of Mathematical Biology
2 Journal of Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Chaos, Solitons and Fractals
2 Applied Mathematics and Computation
2 Transactions of the American Mathematical Society
2 Chinese Annals of Mathematics. Series B
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Mathematical Problems in Engineering
2 Differential Equations and Dynamical Systems
2 Journal of Applied Mathematics
1 International Journal of Modern Physics B
1 Applicable Analysis
1 Journal of Engineering Mathematics
1 Rocky Mountain Journal of Mathematics
1 Automatica
1 Journal of Optimization Theory and Applications
1 Proceedings of the American Mathematical Society
1 Theoretical Population Biology
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Mathematics Letters
1 Dynamics and Stability of Systems
1 Science in China. Series A
1 Journal of Global Optimization
1 Acta Mathematica Sinica. New Series
1 Journal of Nonlinear Science
1 Physics of Fluids
1 Journal of Difference Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 Chaos
1 Nonlinear Analysis. Real World Applications
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Advances in Complex Systems
1 Communications on Pure and Applied Analysis
1 SIAM Journal on Applied Dynamical Systems
1 Communications in Mathematical Analysis
1 Computational & Mathematical Methods in Medicine
1 Journal of Physics A: Mathematical and Theoretical
1 Nonlinear Analysis. Hybrid Systems
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Applied Analysis and Computation

Citations by Year