DocumentCode :
2788011
Title :
A new Lorenz-Like chaotic attractor and its synchronization
Author :
Munmuangsaen, Buncha ; Srisuchinwong, Banlue
Author_Institution :
Sirindhorn Int. Inst. of Technol., Thammasat Univ., Pathum-Thani, Thailand
fYear :
2009
fDate :
17-19 June 2009
Firstpage :
1497
Lastpage :
1501
Abstract :
A new Lorenz-like chaotic attractor is presented with some basic properties in terms of equilibria, eigenvalues of the Jacobian matrices, generalized Lorenz system (GLS), existence of the attractor, Lyapunov exponents and compound structures. Although the differential equations of the new system are quite different from those of the Lorenz system, and although they are not topological equivalent, the appearance of the chaotic attractor of the new system resembles that of the Lorenz system. As an example, synchronization between the new system and the well-known Rossler attractor is demonstrated using active control.
Keywords :
Jacobian matrices; Lyapunov methods; differential equations; eigenvalues and eigenfunctions; nonlinear control systems; Jacobian matrices; Lorenz system; Lorenz-like chaotic attractor; Lyapunov exponents; Rossler attractor; active control; compound structures; differential equations; eigenvalues; generalized Lorenz system; Chaos; Communication industry; Control systems; Differential equations; Eigenvalues and eigenfunctions; Industrial control; Jacobian matrices; Chaos; Generalized Lorenz System; Synchronization of Chaotic Systems;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
Type :
conf
DOI :
10.1109/CCDC.2009.5192186
Filename :
5192186
Link To Document :
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