Methods to Detect Chaos and Bifurcation Analysis of Nonlinear Systems

Bag, Abhisek (2015) Methods to Detect Chaos and Bifurcation Analysis of Nonlinear Systems. MSc thesis.

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Abstract

Chaos is a recent but well-established phenomenon. In this report work has been done in the period of July,2014 to April,2015.The main work done in this paper is to study various techniques to find whether any system is chaotic or not. We have tested these systems chaotic behavior with respect to different parameter values. Work basically is done using MATLAB programming. The Matlab codes have been used is given in the ‘Matlab codes’ section. Mathieu Oscillator and Logistic equation are used as systems to study

Item Type:Thesis ( MSc)
Uncontrolled Keywords:Non Linear Dynamics, Chaos,Poincare Section, Ergodic Theorem, Lyapunov Exponents, Phase Space, Bifurcation, Period Doubling, Attractor, Strange Attractor, Limit Cycle
Subjects:Physics > Nonlinear Dynamics
Divisions: Sciences > Department of Physics
ID Code:7798
Deposited By:Mr. Sanat Kumar Behera
Deposited On:14 Jun 2016 12:09
Last Modified:14 Jun 2016 12:09
Supervisor(s):Ganguli, B

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