Onset of Chaos for Different Non Linear Systems by Varying System Parameters
Chaos is one of the most important behaviors exhibited by non linear dynamical system and refers to the predictable although seemingly random, motion of trajectories of a dynamical system. Chaotic systems display chaotic behaviors only for specific range of values of their parameters. In this paper, the generation of chaos in two chaotic systems, namely, Lorenz System and Rӧssler’s model was shown using SIMULINK with few specific initial conditions and parameter values. The state space trajectories act as strange attractors and this shows the emergence of chaos for chosen set of control parameter values.
KeywordsEquilibrium Point Chaotic System Phase Portrait Lorenz System Linear Dynamical System
The authors are grateful to Prof. P.K. Sinha Roy and Prof. G.S. Taki of Institute of Engineering and Management for their support and encouragement and their advice which has helped the authors to write this paper.
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