Renormalisation of the two-dimensional border-collision normal form

Autor:	Ghosh, Indranil, Simpson, David J. W.
Rok vydání:	2021
Předmět:	Nonlinear Sciences - Chaotic Dynamics Mathematics - Dynamical Systems 37G35 39A28
Druh dokumentu:	Working Paper
DOI:	10.1142/S0218127422501814
Popis:	We study the two-dimensional border-collision normal form (a four-parameter family of continuous, piecewise-linear maps on $\mathbb{R}^2$) in the robust chaos parameter region of [S. Banerjee, J.A. Yorke, C. Grebogi, Robust Chaos, Phys. Rev. Lett. 80(14):3049--3052, 1998]. We use renormalisation to partition this region by the number of connected components of a chaotic Milnor attractor. This reveals previously undescribed bifurcation structure in a succinct way.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.09242 Zobrazit plný text záznamu View this record from Arxiv