Emergence of chaotic regimes in the generalized Lorenz canonical form: a competitive modes analysis
Abbreviated Journal Title
Generalized Lorenz canonical form; Competitive modes; Chaos; Chaotic; regime; CHENS SYSTEM; BIFURCATION; ATTRACTOR; Engineering, Mechanical; Mechanics
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.
"Emergence of chaotic regimes in the generalized Lorenz canonical form: a competitive modes analysis" (2011). Faculty Bibliography 2010s. 2031.