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Onset of Chaos for Different Non Linear Systems by Varying System Parameters

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Advances in Optical Science and Engineering

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 166))

Abstract

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.

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Acknowledgments

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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Correspondence to Rajarshi Roy Chaudhuri .

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Sarkar, M., Chaudhuri, R.R., Chowdhury, S.D., Thakur, N.K., Chowdhury, S. (2015). Onset of Chaos for Different Non Linear Systems by Varying System Parameters. In: Lakshminarayanan, V., Bhattacharya, I. (eds) Advances in Optical Science and Engineering. Springer Proceedings in Physics, vol 166. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2367-2_49

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