TITLE:
Multi-Parameter Analysis of Optimal Transitions from Chaotic to Stable Regions for Two Classes of Systems
AUTHORS:
Yury Talagaev, Andrey Tarakanov
KEYWORDS:
Chaotic Systems; Multi-Parameter Analysis; Melnikov Method; Super-Stability
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.1A,
January
30,
2013
ABSTRACT: The study of the parameter space of chaotic systems is complicated by its high dimensionality (multi-parametricability). Two approaches to the study of chaotic systems are presented: multi-parameter analysis and optimal suppression of chaotic dynamics. For non-autonomous chaotic systems, this is the way to compare the effectiveness of various correction parameters that provide optimal removal of irregular dynamics. For the class of autonomous chaotic systems, this is the way to investigate the optimal conditions of super-stable behavior for the chaotic system.