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

  • Mili Sarkar
  • Rajarshi Roy Chaudhuri
  • Subhajit Dutta Chowdhury
  • Nitish Kumar Thakur
  • Sabarno Chowdhury
Conference paper
Part of the Springer Proceedings in Physics book series (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.

Keywords

Equilibrium Point Chaotic System Phase Portrait Lorenz System Linear Dynamical System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

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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Copyright information

© Springer India 2015

Authors and Affiliations

  • Mili Sarkar
    • 2
  • Rajarshi Roy Chaudhuri
    • 1
  • Subhajit Dutta Chowdhury
    • 2
  • Nitish Kumar Thakur
    • 2
  • Sabarno Chowdhury
    • 2
  1. 1.Department of Electronics and Communication EngineeringInstitute of Engineering and ManagementKolkataIndia
  2. 2.Institute of Engineering and ManagementKolkataIndia

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