A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 7, 2009, Pages 2886-2896

  Yu, P ^a   Liao, X X ^b   Xie, S L ^c   Fu, Y L ^c  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

General Lorenz family; Generalized Lyapunov function; Globally exponentially attractive set; Positive invariant set; Ultimate boundedness of chaotic system

Indexed keywords

CHAOTIC SYSTEMS;

CONSTRUCTIVE PROOF; GENERAL LORENZ FAMILY; GENERALIZED LORENZ SYSTEM; GENERALIZED LYAPUNOV FUNCTIONS; GLOBALLY EXPONENTIALLY ATTRACTIVE SET; INDEPENDENT PARAMETERS; LORENZ SYSTEM; POSITIVE INVARIANT SET; ULTIMATE BOUNDEDNESS OF CHAOTIC SYSTEM;

LYAPUNOV FUNCTIONS;

EID: 59849109048     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2008.10.008     Document Type: Article

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