Title
Emergence of chaotic regimes in the generalized Lorenz canonical form: a competitive modes analysis
Abbreviated Journal Title
Nonlinear Dyn.
Keywords
Generalized Lorenz canonical form; Competitive modes; Chaos; Chaotic; regime; CHENS SYSTEM; BIFURCATION; ATTRACTOR; Engineering, Mechanical; Mechanics
Abstract
The recently-developed technique of competitive modes analysis is applied to determine parameter regimes for which the generalized Lorenz canonical form, a system constructed by Celikovsky and Chen, which holds many other chaotic systems (such as the Lorenz system, the Lu system, the Chen system, and the Shimizu-Morioka system), may exhibit chaotic behavior. We verify that the generalized Lorenz canonical form exhibits interesting behaviors in the many parameter regimes thus obtained, thereby demonstrating the great utility of the competitive modes approach in delineating chaotic regimes in multi-parameter systems, where their identification can otherwise involve tedious numerical searches.
Journal Title
Nonlinear Dynamics
Volume
66
Issue/Number
1-2
Publication Date
1-1-2011
Document Type
Article
Language
English
First Page
153
Last Page
160
WOS Identifier
ISSN
0924-090X
Recommended Citation
"Emergence of chaotic regimes in the generalized Lorenz canonical form: a competitive modes analysis" (2011). Faculty Bibliography 2010s. 2031.
https://stars.library.ucf.edu/facultybib2010/2031
Comments
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