Existence and Stability of Periodic Orbits for a Hamiltonian System with Homogeneous Potential of Degree Five.

Autor: Uribe, Marco, Quispe, Margarita
Zdroj: Differential Equations & Dynamical Systems; Oct2023, Vol. 31 Issue 4, p743-765, 23p
Abstrakt: In this paper we consider the autonomous Hamiltonian system with two degrees of freedom associated to the function H = 1 2 (x 2 + y 2) + 1 2 (p x 2 + p y 2) + V 5 (x , y) , where V 5 (x , y) = ( A 5 x 5 + B x 3 y 2 + C 5 x y 4) which is related to a homogeneous potential of degree five. We prove the existence of different families of periodic orbits and the type of stability is analyzed through the averaging theory which guarantee the existence of such orbits on adequate sets defined by the parameters A, B, C. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
Externí odkaz: