Equivariant Global Hopf Bifurcation in Abstract Nonlinear Parabolic Equations

Zalman Balanov; Wieslaw Krawcewicz; Arnaja Mitra; Dmitrii Rachinskii

Equivariant Global Hopf Bifurcation in Abstract Nonlinear Parabolic Equations

Dynamical Systems 2023-11-23 v1

Authors: Zalman Balanov , Wieslaw Krawcewicz , Arnaja Mitra , Dmitrii Rachinskii

Abstract

In this paper we study local and global symmetric Hopf bifurcation in abstract parabolic systems by means of the twisted equivariant degree.

Keywords

equivariant hopf bifurcation global bifurcation abstract parabolic equations twisted equivariant degree symmetric bifurcation

Cite

@article{arxiv.2311.13136,
  title  = {Equivariant Global Hopf Bifurcation in Abstract Nonlinear Parabolic Equations},
  author = {Zalman Balanov and Wieslaw Krawcewicz and Arnaja Mitra and Dmitrii Rachinskii},
  journal= {arXiv preprint arXiv:2311.13136},
  year   = {2023}
}