Hamiltonian Hopf bifurcation with symmetry
Pascal Chossat, Juan-Pablo Ortega, Tudor S. Ratiu
Abstract
In this paper we study the appearance of branches of relative periodic orbits in Hamiltonian Hopf bifurcation processes in the presence of compact symmetry groups that do not generically exist in the dissipative framework. The theoretical study is illustrated with several examples.
Create a lesson
Related papers
Adjoint-Based Stochastic Analysis for Fatigue of Aeroelastic and Frictional Systems
Justin H. Porter
Asymptotic Analysis of Discrete-Time Self-Attention Dynamics in Transformers
Claudio Altafini
Dimension theory of group actions by circle diffeomorphisms I: Stationary measures
Weikun He, Yuxiang Jiao, Disheng Xu
Hausdorff Dimension and Flexibility for Attractors of Non-Uniformly Hyperbolic Flows
Elias Rego, Paulo Varandas
Finiteness of planar central configurations of five bodies for all positive masses
Tejasvi Singh Tomar
Khintchine dichotomy for images of self-similar measures and almost random walks
Liyang Shao