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## Cardin, Franco

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 Author ID: cardin.franco Published as: Cardin, Franco; Cardin, F.
 Documents Indexed: 60 Publications since 1980, including 1 Book Reviewing Activity: 36 Reviews
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#### Co-Authors

 15 single-authored 10 Bernardi, Olga 9 Lovison, Alberto 7 Favretti, Marco 5 Guzzo, Massimiliano 3 Putti, Mario 3 Zanelli, Lorenzo 2 Bobbo, Alessia 2 Facca, Enrico 2 Gramchev, Todor V. 2 Masci, Leonardo 2 Spiro, Andrea F. 2 Tebaldi, Claudio 2 Vazzoler, Simone 2 Zanzotto, Giovanni 1 Abbondandolo, Alberto 1 Daneri, Sara 1 De Anna, Francesco 1 De Marco, Giuseppe 1 Giannotti, Cristina 1 Guiotto, Paolo 1 Marigonda, Antonio 1 Passerone, Daniele 1 Sellers, Shaun 1 Sfondrini, Alessandro 1 Siconolfi, Antonio 1 Spera, Mauro 1 Turco, Alessandro 1 Viterbo, Claude 1 Zoppello, Marta
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#### Serials

 4 Continuum Mechanics and Thermodynamics 3 Journal of Mathematical Physics 3 Meccanica 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Journal of Mathematical Analysis and Applications 2 Journal of Geometry and Physics 2 Rendiconti del Seminario Matematico della Università di Padova 2 Acta Applicandae Mathematicae 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Nonlinear Mathematical Physics 1 Journal of Statistical Physics 1 Nonlinearity 1 Reports on Mathematical Physics 1 Duke Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Le Matematiche 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ricerche di Matematica 1 Rendiconti del Seminario Matematico 1 Journal of Scientific Computing 1 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali 1 SIAM Journal on Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Journal of Dynamics and Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Mathematics and Mechanics of Solids 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Physics, Analysis and Geometry 1 Chaos 1 Communications in Contemporary Mathematics 1 Communications on Pure and Applied Analysis 1 The Journal of Symplectic Geometry 1 Multiscale Modeling & Simulation 1 Journal of Geometry and Symmetry in Physics 1 Lecture Notes of the Unione Matematica Italiana 1 Networks and Heterogeneous Media 1 Journal of Geometric Mechanics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Matematica, Cultura e Società. Rivista dell’Unione Matematica Italiana. Serie I
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#### Fields

 23 Partial differential equations (35-XX) 22 Mechanics of particles and systems (70-XX) 18 Dynamical systems and ergodic theory (37-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 Mechanics of deformable solids (74-XX) 9 Differential geometry (53-XX) 8 Fluid mechanics (76-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Relativity and gravitational theory (83-XX) 4 Numerical analysis (65-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

42 Publications have been cited 161 times in 126 Documents Cited by Year
On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints. Zbl 0864.70007
Cardin, Franco; Favretti, Marco
1996
Commuting Hamiltonians and Hamilton-Jacobi multi-time equations. Zbl 1153.37029
Cardin, Franco; Viterbo, Claude
2008
On constrained mechanical systems: D’Alembert’s and Gauss’ principles. Zbl 0678.70018
Cardin, Franco; Zanzotto, Giovanni
1989
The global finite structure of generic envelope loci for Hamilton-Jacobi equations. Zbl 1059.53067
Cardin, Franco
2002
Global finite generating functions for field theory. Zbl 1062.53067
Cardin, Franco
2003
Minimax and viscosity solutions of Hamilton-Jacobi equations in the convex case. Zbl 1135.35005
Bernardi, Olga; Cardin, Franco
2006
Morse families and constrained mechanical systems. Generalized hyperelastic materials. Zbl 0752.73017
Cardin, Franco
1991
Finite reductions for dissipative systems and viscous fluid-dynamic models on $$\mathbb T^2$$. Zbl 1147.35081
Cardin, Franco; Tebaldi, Claudio
2008
Elementary symplectic topology and mechanics. Zbl 1405.70001
Cardin, Franco
2015
On viscosity and geometrical solutions of Hamilton-Jacobi equations. Zbl 0771.35069
Cardin, Franco
1993
Towards a stationary Monge-Kantorovich dynamics: the Physarum Polycephalum experience. Zbl 1385.49012
Facca, Enrico; Cardin, Franco; Putti, Mario
2018
Chain recurrence, chain transitivity, Lyapunov functions and rigidity of Lagrangian submanifolds of optical hypersurfaces. Zbl 1394.53083
Abbondandolo, Alberto; Bernardi, Olga; Cardin, Franco
2018
Implementation of an exact finite reduction scheme for steady-state reaction-diffusion equations. Zbl 1194.76173
Cardin, Franco; Lovison, Alberto; Putti, Mario
2007
Dynamics of a chain of springs with nonconvex potential energy. Zbl 1056.74027
Cardin, Franco; Favretti, Marco
2003
Exponential estimates for oscillatory integrals with degenerate phase functions. Zbl 1132.41342
Cardin, F.; Gramchev, T.; Lovison, A.
2008
On the internal work in generalized hyperelastic materials. Zbl 0840.73016
Cardin, Franco; Spera, Mauro
1995
Global world functions. Zbl 1086.53088
Cardin, Franco; Marigonda, Antonio
2004
Hyper-impulsive motion on manifolds. Zbl 1084.37522
Cardin, Franco; Favretti, Marco
1998
Finite mechanical proxies for a class of reducible continuum systems. Zbl 1305.74020
Cardin, Franco; Lovison, Alberto
2014
The experimental localization of Aubry-Mather sets using regularization techniques inspired by viscosity theory. Zbl 1163.37330
Guzzo, Massimiliano; Bernardi, Olga; Cardin, Franco
2007
On $$C^0$$-variational solutions for Hamilton-Jacobi equations. Zbl 1222.70018
Bernardi, Olga; Cardin, Franco
2011
Swim-like motion of bodies immersed in an ideal fluid. Zbl 1434.74054
Zoppello, Marta; Cardin, Franco
2019
Integrability of the spatial restricted three-body problem near collisions (an announcement). Zbl 1461.70015
Cardin, Franco; Guzzo, Massimiliano
2019
A Morse index invariant reduction of non-equilibrium thermodynamics. Zbl 1393.35244
Cardin, Franco; Masci, Leonardo
2018
The geometry of the semiclassical wave front set for Schrödinger eigenfunctions on the torus. Zbl 1413.35146
Cardin, Franco; Zanelli, Lorenzo
2017
New estimates for Evans’ variational approach to weak KAM theory. Zbl 1277.35127
Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano
2013
Discrete structures equivalent to nonlinear Dirichlet and wave equations. Zbl 1234.82006
Lovison, Alberto; Cardin, Franco; Bobbo, Alessia
2009
Tonelli principle: finite reduction and fixed energy molecular dynamics trajectories. Zbl 1172.49028
Turco, A.; Passerone, D.; Cardin, F.
2009
Asymptotic analysis of diffraction integrals in Gevrey spaces. Zbl 1296.78003
Cardin, Franco; Gramchev, Todor; Lovison, Alberto
2014
On the Helmholtz-Boltzmann thermodynamics of mechanical systems. Zbl 1053.80001
Cardin, F.; Favretti, M.
2004
Existence and uniqueness theorems for viscous fluids capable of heat conduction in a relativistic theory of non stationary thermodynamics. Zbl 0568.76125
Cardin, Franco
1984
Precession of the perihelion within a generalized theory for the two body problem. Zbl 0584.70006
Cardin, Franco
1982
Lack of critical phase points and exponentially faint illumination. Zbl 1076.78500
Cardin, Franco; Lovison, Alberto
2005
When is a vector field injective? Zbl 0928.53005
Cardin, Franco; Favretti, Marco
1998
Numerical solution of Monge-Kantorovich equations via a dynamic formulation. Zbl 1437.65135
Facca, Enrico; Daneri, Sara; Cardin, Franco; Putti, Mario
2020
Pontryagin maximum principle and Stokes theorem. Zbl 1431.49022
Cardin, Franco; Spiro, Andrea
2019
Stochastic and geometric aspects of reduced reaction-diffusion dynamics. Zbl 1419.82029
Cardin, Franco; Favretti, Marco; Lovison, Alberto; Masci, Leonardo
2019
Cauchy problems for stationary Hamilton-Jacobi equations under mild regularity assumptions. Zbl 1213.35183
Bernardi, Olga; Cardin, Franco; Siconolfi, Antonio
2009
Integral representations of the Schrödinger propagator. Zbl 1214.35015
Zanelli, Lorenzo; Guiotto, Paolo; Cardin, Franco
2008
A PDE approach to finite time indicators in ergodic theory. Zbl 1197.37008
Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano; Zanelli, Lorenzo
2009
Finite reduction and Morse index estimates for mechanical systems. Zbl 1227.70016
Cardin, Franco; De Marco, Giuseppe; Sfondrini, Alessandro
2011
Inertial manifold and large deviations approach to reduced PDE dynamics. Zbl 1373.82063
Cardin, Franco; Favretti, Marco; Lovison, Alberto
2017
Numerical solution of Monge-Kantorovich equations via a dynamic formulation. Zbl 1437.65135
Facca, Enrico; Daneri, Sara; Cardin, Franco; Putti, Mario
2020
Swim-like motion of bodies immersed in an ideal fluid. Zbl 1434.74054
Zoppello, Marta; Cardin, Franco
2019
Integrability of the spatial restricted three-body problem near collisions (an announcement). Zbl 1461.70015
Cardin, Franco; Guzzo, Massimiliano
2019
Pontryagin maximum principle and Stokes theorem. Zbl 1431.49022
Cardin, Franco; Spiro, Andrea
2019
Stochastic and geometric aspects of reduced reaction-diffusion dynamics. Zbl 1419.82029
Cardin, Franco; Favretti, Marco; Lovison, Alberto; Masci, Leonardo
2019
Towards a stationary Monge-Kantorovich dynamics: the Physarum Polycephalum experience. Zbl 1385.49012
Facca, Enrico; Cardin, Franco; Putti, Mario
2018
Chain recurrence, chain transitivity, Lyapunov functions and rigidity of Lagrangian submanifolds of optical hypersurfaces. Zbl 1394.53083
Abbondandolo, Alberto; Bernardi, Olga; Cardin, Franco
2018
A Morse index invariant reduction of non-equilibrium thermodynamics. Zbl 1393.35244
Cardin, Franco; Masci, Leonardo
2018
The geometry of the semiclassical wave front set for Schrödinger eigenfunctions on the torus. Zbl 1413.35146
Cardin, Franco; Zanelli, Lorenzo
2017
Inertial manifold and large deviations approach to reduced PDE dynamics. Zbl 1373.82063
Cardin, Franco; Favretti, Marco; Lovison, Alberto
2017
Elementary symplectic topology and mechanics. Zbl 1405.70001
Cardin, Franco
2015
Finite mechanical proxies for a class of reducible continuum systems. Zbl 1305.74020
Cardin, Franco; Lovison, Alberto
2014
Asymptotic analysis of diffraction integrals in Gevrey spaces. Zbl 1296.78003
Cardin, Franco; Gramchev, Todor; Lovison, Alberto
2014
New estimates for Evans’ variational approach to weak KAM theory. Zbl 1277.35127
Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano
2013
On $$C^0$$-variational solutions for Hamilton-Jacobi equations. Zbl 1222.70018
Bernardi, Olga; Cardin, Franco
2011
Finite reduction and Morse index estimates for mechanical systems. Zbl 1227.70016
Cardin, Franco; De Marco, Giuseppe; Sfondrini, Alessandro
2011
Discrete structures equivalent to nonlinear Dirichlet and wave equations. Zbl 1234.82006
Lovison, Alberto; Cardin, Franco; Bobbo, Alessia
2009
Tonelli principle: finite reduction and fixed energy molecular dynamics trajectories. Zbl 1172.49028
Turco, A.; Passerone, D.; Cardin, F.
2009
Cauchy problems for stationary Hamilton-Jacobi equations under mild regularity assumptions. Zbl 1213.35183
Bernardi, Olga; Cardin, Franco; Siconolfi, Antonio
2009
A PDE approach to finite time indicators in ergodic theory. Zbl 1197.37008
Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano; Zanelli, Lorenzo
2009
Commuting Hamiltonians and Hamilton-Jacobi multi-time equations. Zbl 1153.37029
Cardin, Franco; Viterbo, Claude
2008
Finite reductions for dissipative systems and viscous fluid-dynamic models on $$\mathbb T^2$$. Zbl 1147.35081
Cardin, Franco; Tebaldi, Claudio
2008
Exponential estimates for oscillatory integrals with degenerate phase functions. Zbl 1132.41342
Cardin, F.; Gramchev, T.; Lovison, A.
2008
Integral representations of the Schrödinger propagator. Zbl 1214.35015
Zanelli, Lorenzo; Guiotto, Paolo; Cardin, Franco
2008
Implementation of an exact finite reduction scheme for steady-state reaction-diffusion equations. Zbl 1194.76173
Cardin, Franco; Lovison, Alberto; Putti, Mario
2007
The experimental localization of Aubry-Mather sets using regularization techniques inspired by viscosity theory. Zbl 1163.37330
Guzzo, Massimiliano; Bernardi, Olga; Cardin, Franco
2007
Minimax and viscosity solutions of Hamilton-Jacobi equations in the convex case. Zbl 1135.35005
Bernardi, Olga; Cardin, Franco
2006
Lack of critical phase points and exponentially faint illumination. Zbl 1076.78500
Cardin, Franco; Lovison, Alberto
2005
Global world functions. Zbl 1086.53088
Cardin, Franco; Marigonda, Antonio
2004
On the Helmholtz-Boltzmann thermodynamics of mechanical systems. Zbl 1053.80001
Cardin, F.; Favretti, M.
2004
Global finite generating functions for field theory. Zbl 1062.53067
Cardin, Franco
2003
Dynamics of a chain of springs with nonconvex potential energy. Zbl 1056.74027
Cardin, Franco; Favretti, Marco
2003
The global finite structure of generic envelope loci for Hamilton-Jacobi equations. Zbl 1059.53067
Cardin, Franco
2002
Hyper-impulsive motion on manifolds. Zbl 1084.37522
Cardin, Franco; Favretti, Marco
1998
When is a vector field injective? Zbl 0928.53005
Cardin, Franco; Favretti, Marco
1998
On nonholonomic and vakonomic dynamics of mechanical systems with nonintegrable constraints. Zbl 0864.70007
Cardin, Franco; Favretti, Marco
1996
On the internal work in generalized hyperelastic materials. Zbl 0840.73016
Cardin, Franco; Spera, Mauro
1995
On viscosity and geometrical solutions of Hamilton-Jacobi equations. Zbl 0771.35069
Cardin, Franco
1993
Morse families and constrained mechanical systems. Generalized hyperelastic materials. Zbl 0752.73017
Cardin, Franco
1991
On constrained mechanical systems: D’Alembert’s and Gauss’ principles. Zbl 0678.70018
Cardin, Franco; Zanzotto, Giovanni
1989
Existence and uniqueness theorems for viscous fluids capable of heat conduction in a relativistic theory of non stationary thermodynamics. Zbl 0568.76125
Cardin, Franco
1984
Precession of the perihelion within a generalized theory for the two body problem. Zbl 0584.70006
Cardin, Franco
1982
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#### Cited by 165 Authors

 24 Cardin, Franco 8 Lovison, Alberto 6 Zanelli, Lorenzo 5 de León Rodríguez, Manuel 4 Bernardi, Olga 4 Treanţă, Savin 3 Buhovsky, Lev 3 Darbon, Jerome 3 Facca, Enrico 3 Favretti, Marco 3 Guzzo, Massimiliano 2 Bloch, Anthony M. 2 Bobbo, Alessia 2 Celletti, Alessandra 2 Cortés, Jorge 2 Esen, Oğul 2 García, Pedro Luis 2 Graffi, Sandro 2 Gramchev, Todor V. 2 Guiotto, Paolo 2 Guo, Yongxin 2 Marle, Charles-Michel 2 Marsden, Jerrold Eldon 2 Martín de Diego, David 2 Martínez, Sonia 2 Massa, Enrico 2 Meng, Tingwei 2 Pagani, Enrico M. 2 Polterovich, Leonid Viktorovich 2 Putti, Mario 2 Rodrigo, César 2 Rossi, Olga 2 Spera, Mauro 2 Spiro, Andrea F. 2 Truskinovsky, Lev 2 Udriste, Constantin N. 2 Zapolsky, Frol 2 Zoppello, Marta 1 Barbero-Liñán, María 1 Barretta, Raffaele 1 Bazan, Aldo 1 Benzi, Michele 1 Bernard, Patrick 1 Besana, Alberto 1 Bettiol, Piernicola 1 Bonifaci, Vincenzo 1 Bressan, Alberto 1 Bruce, Andrew James 1 Bruno, Danilo 1 Bustamante, Roger 1 Cacciapuoti, Rosalba 1 Calleja, Renato C. 1 Capitanio, Gianmarco 1 Chandrasekaran, Venkatesa 1 Chee, G. Y. 1 Chen, Qinbo 1 Chen, Thomas M. 1 Chow, Yat Tin 1 Colombo, Giovanni 1 Crampin, Mike 1 Dalla Riva, Matteo 1 D’Amore, Luisa 1 Daneri, Sara 1 Davini, Andrea 1 De Marco, Giuseppe 1 de Saxcé, Géry 1 Diaco, Marina 1 Díaz, Viviana Alejandra 1 Dyskin, Arcady V. 1 Efendiev, Yalchin R. 1 Eliashberg, Yakov Matveevich 1 Entov, Michael 1 Evans, Lawrence Craig 1 Fassò, Francesco 1 Fernández Martínez, Antonio 1 Ferra, Igor Ambo 1 Flannery, M. R. 1 Florio, Anna 1 Fortune, Danielle 1 Giachetta, Giovanni 1 Giannotti, Cristina 1 Gidoni, Paolo 1 Gràcia, Xavier 1 Guha, Partha 1 Haddout, Soufiane 1 Hjiaj, Mohammed 1 Humilière, Vincent 1 Jiménez, Fernando 1 Jóźwikowski, Michał 1 Karrenbauer, Andreas 1 Kauffman, Louis Hirsch 1 Kholodenko, Arkady L. 1 Kolev, Pavel 1 Kozlov, Valeriĭ Vasil’evich 1 Krishnaprasad, P.s. 1 Kupka, Ivan A. K. 1 Langlois, Gabriel P. 1 Leguil, Martin 1 Lesimple, Marc 1 Lewis, Andrew D. ...and 65 more Authors
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#### Cited in 75 Serials

 12 Journal of Mathematical Physics 9 Journal of Geometry and Physics 6 Journal of Geometric Mechanics 5 Continuum Mechanics and Thermodynamics 4 Journal of Differential Equations 3 Communications in Mathematical Physics 3 Meccanica 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 Reports on Mathematical Physics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Ricerche di Matematica 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Mathematical Sciences (New York) 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Regular and Chaotic Dynamics 2 Journal of Nonlinear Mathematical Physics 2 Dynamical Systems 2 International Journal of Geometric Methods in Modern Physics 2 Communications in Mathematics 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 International Journal of Engineering Science 1 International Journal of Theoretical Physics 1 Journal of Computational Physics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Duke Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Inventiones Mathematicae 1 Journal of Optimization Theory and Applications 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Theoretical Computer Science 1 Ergodic Theory and Dynamical Systems 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Journal of Scientific Computing 1 Differential Geometry and its Applications 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Knot Theory and its Ramifications 1 Journal of Nonlinear Science 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 NoDEA. Nonlinear Differential Equations and Applications 1 Selecta Mathematica. New Series 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Vietnam Journal of Mathematics 1 Chaos 1 Discrete Dynamics in Nature and Society 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Milan Journal of Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Networks and Heterogeneous Media 1 SIAM Journal on Imaging Sciences 1 Electronic Research Announcements in Mathematical Sciences 1 Advances in High Energy Physics 1 Journal of Topology and Analysis 1 São Paulo Journal of Mathematical Sciences 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Numerical Algebra, Control and Optimization 1 Research in the Mathematical Sciences
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#### Cited in 29 Fields

 60 Mechanics of particles and systems (70-XX) 42 Dynamical systems and ergodic theory (37-XX) 28 Differential geometry (53-XX) 22 Partial differential equations (35-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 15 Mechanics of deformable solids (74-XX) 12 Ordinary differential equations (34-XX) 12 Global analysis, analysis on manifolds (58-XX) 9 Numerical analysis (65-XX) 9 Quantum theory (81-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Operator theory (47-XX) 5 Fluid mechanics (76-XX) 5 Operations research, mathematical programming (90-XX) 4 Manifolds and cell complexes (57-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)