Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 3.2, Problem 5E
Interpretation Introduction

Interpretation:

The law of mass action leads to an equation of the form x˙=C1x-C2x2 has derived also stability of the system has checked when k1a < k2b for x*= 0 and explained it chemically.

Concept Introduction:

Equation of concentration change is the sum of rates of positive gains and negative losses.

The law of mass action is the rate of any chemical reaction which is proportional to the product of the masses of the reacting substances with each mass raised to a power equal to the coefficient that occurs in the chemical reaction.

To find the stability of the system, we have to differentiate the equation of concentration with respect to x and check stability by substituting x=0 in it.

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