Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780429972195
Author: Steven H. Strogatz
Publisher: Taylor & Francis
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Chapter 9.1, Problem 4E
Interpretation Introduction

Interpretation:

To analyse the Laser model according to Maxwell- Bloch equations.

    (a) To show that the non-lasing state loses stability above a threshold value of λ, which is to be determined.

    (b) To find a change of variables that transform the system into the Lorenz system.

Concept Introduction:

  • ➢ The fixed point of a differential equation is the point where, f(x*) = 0 ; while substitution f(x*) = x˙ is used and x&*#x00A0;is a fixed point.

  • ➢ The Lorenz system is the system of ordinary differential equations which have a chaotic solution for the particular parameter values and its initial conditions.

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