Browsing by Author "Zhang, An-Ray"

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Anticontrol of chaos of the fractional order modified van der Pol systems
(2007-04-15)
Ge, Zheng-Ming
;
Zhang, An-Ray
;
機械工程學系
;
Department of Mechanical Engineering
Anticontrol of chaos of fractional order modified van der Pol systems is studied. Addition of a constant term and addition of k vertical bar x vertical bar sinx term where x is a state of the system are used to anticontrol the system effectively. By applying numerical results, phase portrait, Poincare maps and bifurcation diagrams a variety of the phenomena of the chaotic motion can be presented. Finally, it can be find that chaos under these procedures exists in the fractional order systems of a modified van der Pol system. (c) 2006 Elsevier Inc. All rights reserved.
Chaos in a modified van der Pol system and in its fractional order systenis
(2007-06-01)
Ge, Zheng-Ming
;
Zhang, An-Ray
;
機械工程學系
;
Department of Mechanical Engineering
Chaos in a modified van der Pot system and in its fractional order systems is studied in this paper. It is found that chaos exists both in the system and in the fractional order systems with order from 1.8 down to 0.8 much less than the number of states of the system, two. By phase portraits, Poincare maps and bifurcation diagrams, the chaotic behaviors of fractional order modified van der Pot systems are presented. (c) 2005 Elsevier Ltd. All rights reserved.