Periodic solutions of hamiltonian systems1978
WebAbstract : The existence of periodic solutions of Hamiltonian systems of ordinary differential equations is proved in various settings. A case in which energy is prescribed is … WebNov 24, 2024 · I'm preparing for a scholarship examination (no solutions available) and in older tests I'm coming across problems like the following. Consider the (Hamiltonian) …
Periodic solutions of hamiltonian systems1978
Did you know?
Webfor solutions of the Helmholtz equation. Other chapters consider the integrable generalizations of the Volterra system and explain the dynamical system in the finite … WebEdward R. Fadell, Paul H. Rabinowitz, Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems, Invent. …
WebDec 9, 2024 · In 1978, Rabinowitz (cf. [ 16 ]) has proved that, for any T>0, system ( 1) admits a T -periodic solution under the assumptions ( V 1)– ( V 3). He conjectured that such a solution has T as its minimal period. This is called the Rabinowitz conjecture. Since then many mathematicians devoted themselves to resolve this conjecture. WebIn particular, striking results were obtained in the classical problem of periodic solutions of Hamiltonian systems. This book provides a systematic presentation of the most basic tools of critical point theory: minimization, convex functions and Fenchel transform, dual least action principle, Ekeland variational principle, minimax methods ...
WebApr 1, 2024 · This paper deals with the existence of periodic solutions of Hamiltonian system with N degrees of freedom, on a given energy surface. The surface is supposed to be symmetric and starshaped with ... WebOct 23, 2000 · In his pioneer paper [1] of 1978, Rabinowitz studied for the existence of periodic solutions for Hamiltonian systems via the critical point theory. From then on, …
WebSymmetry has a strong impact on the number and shape of solutions to variational problems. This has been observed, for instance, in the search for periodic solutions of Hamiltonian systems or of the nonlinear wave equation; when one is interested in elliptic equations on symmetric domains or in the corresponding semiflows; and when one is ...
WebFeb 17, 2009 · Multiplicity results for periodic solutions with prescribed minimal periods to discrete Hamiltonian systems. Journal of Difference Equations and Applications, Vol. 17, Issue. 10, p. 1499. Journal of Difference Equations and … hepho minecraftWebTime-periodic solutions of Hamiltonian PDEs using pseudoholomorphic curves 463 how pseudoholomorphic methods can be applied to this problem. An obvious problem comes from the fact that the Hamiltonian is only densely defined on the symplectic Hilbert space. As it turns out, one of the main new arising challenges is a small divisor hep houston homeschoolWebSep 1, 1979 · A basic question of interest in the study of Hamiltonian mechanics is the existence of periodic solutions of (1.1) on a given energy surface. Simple examples show … hep hollyfrontierWebApr 1, 1981 · In this article we introduce a new approach to the subject, in which a new type of action integral is used to define a problem whose solutions yield directly the periodic … hephthalite central europeanWebIn 1978, Rabinowitz proved the existence of a non-constant T-periodic solution for nonlinear Hamiltonian systems on R 2 n with Hamiltonian function being super-quadratic at the infinity and zero for any given T > 0.Since the minimal period of this solution may be T / k for some positive integer k, he proposed the question whether there exists a solution with T as its … heph sulphWebDec 5, 2016 · Variational methods are used in order to establish the existence and the multiplicity of nontrivial periodic solutions of a second order dynamical system. The main results are obtained when the potential satisfies different superquadratic conditions at infinity. The particular case of equations with a concave-convex nonlinear term is covered. hephzibah baptist church east fallowfield paWebClick on the article title to read more. heph the blacksmith monster train