Perfect Morse functions and some applications.
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Displaying 1 – 20 of 27
Periodic and heteroclinic orbits for a periodic hamiltonian system
Paul H. Rabinowitz (1989)
Annales de l'I.H.P. Analyse non linéaire
Periodic bounce trajectories with a low number of bounce points
V. Benci, F. Giannoni (1989)
Annales de l'I.H.P. Analyse non linéaire
Periodic solution of second-order Hamiltonian systems with a change sign potential on time scales.
Su, You-Hui, Li, Wan-Tong (2009)
Discrete Dynamics in Nature and Society
Periodic solutions for nonlinear elliptic equations. Application to charged particle beam focusing systems
Mihai Bostan, Eric Sonnendrücker (2006)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
We study the existence of spatial periodic solutions for nonlinear elliptic equations where is a continuous function, nondecreasing w.r.t. . We give necessary and sufficient conditions for the existence of periodic solutions. Some cases with nonincreasing functions are investigated as well. As an application we analyze the mathematical model of electron beam focusing system and we prove the existence of positive periodic solutions for the envelope equation. We present also numerical simulations....
Periodic solutions for nonlinear elliptic equations. Application to charged particle beam focusing systems
Mihai Bostan, Eric Sonnendrücker (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
We study the existence of spatial periodic solutions for nonlinear elliptic equations where g is a continuous function, nondecreasing w.r.t. u. We give necessary and sufficient conditions for the existence of periodic solutions. Some cases with nonincreasing functions g are investigated as well. As an application we analyze the mathematical model of electron beam focusing system and we prove the existence of positive periodic solutions for the envelope equation. We present also numerical simulations. ...
Periodic solutions for second order Hamiltonian systems
Qiongfen Zhang, X. H. Tang (2012)
Applications of Mathematics
By using the least action principle and minimax methods in critical point theory, some existence theorems for periodic solutions of second order Hamiltonian systems are obtained.
Periodic solutions for second order Hamiltonian systems on an arbitrary energy surface
Chengfu Che, Xiaoping Xue (2012)
Annales Polonici Mathematici
Two theorems about the existence of periodic solutions with prescribed energy for second order Hamiltonian systems are obtained. One gives existence for almost all energies under very natural conditions. The other yields existence for all energies under a further condition.
Periodic solutions of asymptotically linear systems without symmetry
A. Salvatore (1985)
Rendiconti del Seminario Matematico della Università di Padova
Periodic solutions of hamiltonian systems of 3-body type
A. Bahri, P. H. Rabinowitz (1991)
Annales de l'I.H.P. Analyse non linéaire
Periodic solutions of non-autonomous Hamiltonian systems with symmetries.
Thomas Bartsch, Michel Willem (1994)
Journal für die reine und angewandte Mathematik
Periodic solutions of non-autonomous second order systems with -Laplacian.
Wang, Zhiyong, Zhang, Jihui (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Periodic solutions of perturbed superquadratic hamiltonian systems
Yiming Long (1990)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Periodic Solutions of Second Order Nonautonomous Systems with the Potentials Changing Sign
Mario Girardi, Michele Matzeu (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Some existence and multiplicity results for periodic solutions of second order nonautonomous systems with the potentials changing sign are presented. The proofs of the existence results rely on the use of a linking theorem and the Mountain Pass theorem by Ambrosetti and Rabinowitz [2]. The multiplicity results are deduced by the study of constrained critical points of minimum or Mountain Pass type.
Periodic solutions of some problems of 3-body type
A. Bahri, P. H. Rabinowitz (1988/1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
Periodic Solutions of Superquadratic Hamiltonian Systems with Bounded Forcing Terms.
Yiming Long (1990)
Mathematische Zeitschrift
Periodic Solutions on hypersurfaces and a result by C. Viterbo.
H. Hofer, E. Zehnder (1987)
Inventiones mathematicae
Periodic solutions with prescribed energy for some keplerian -body problems
Antonio Ambrosetti, Kazunaga Tanaka, Enzo Vitillaro (1994)
Annales de l'I.H.P. Analyse non linéaire
Perturbation results for a class of singular Hamiltonian systems
Antonio Ambrosetti, Ivar Ekeland (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
The existence of solutions with prescribed period for a class of Hamiltonian systems with a Keplerian singularity is discussed.
Perturbation theorems on Morse theory for continuous functions.
Cicortaş, Graţiela (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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