Autor:	Roy, Indrava, Patra, Mahashweta, Banerjee, Soumitro
Rok vydání:	2019
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
DOI:	10.1016/j.chaos.2020.109655
Popis:	We show the existence of Shilnikov-type dynamics and bifurcation behaviour in general discrete three-dimensional piecewise smooth maps and give analytical results for the occurence of such dynamical behaviour. Our main example in fact shows a `two-sided' Shilnikov dynamics, i.e. simultaneous looping and homoclinic intersection of the one-dimensional eigenmanfolds of fixed points on both sides of the border. We also present two complementary methods to analyse the return time of an orbit to the border: one based on recursion and another based on complex interpolation. Comment: 15 pages, 4 Figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1903.10781 Zobrazit plný text záznamu View this record from Arxiv