A bifurcational geometric approach to the problem of chaos transition in the classical Lorenz system

Autor:	Gaiko, Valery A.
Rok vydání:	2013
Předmět:	Mathematics - Dynamical Systems Mathematics - Classical Analysis and ODEs Nonlinear Sciences - Chaotic Dynamics 34C28 37D45 37G35
Druh dokumentu:	Working Paper
Popis:	The classical Lorenz system is considered. For many years, this system has been the subject of study by numerous authors. However, until now the structure of the Lorenz attractor is not clear completely yet, and the most important question at present is to understand the bifurcation scenario of chaos transition in this system. Using some numerical results and our bifurcational geometric approach, we present a new scenario of chaos transition in the classical Lorenz system. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1307.8315 Zobrazit plný text záznamu View this record from Arxiv