Basics of nonlinearities in mathematical sciences

✍ Scribed by Sinha, D. K.

• Publisher: Anthem Press
• Year: 2006
• Tongue: English
• Leaves: 330
• Series: Anthem studies in science technology and mathematics.
• Category: Library

✦ Synopsis

An attempt to familiarize the reader with nonlinear systems, in particular qualitative characteristics in a variety of systems amenable to mathematization.

✦ Table of Contents

Preamble --
Motivation --
Recapturing linear ordinary differential equations --
Linear systems : qualitative behaviour --
Stability studies --
Study of equilibria : another approach --
Non-linear vis a vis linear systems --
Stability aspects : Liapunov's direct method --
Manifolds : introduction and applications in nonlinearity studies --
Periodicity : orbits, limit cycles, Poincare map --
Bifurcations : a prelude --
Catastrophes : a prelude --
Theorizing, further, bifurcations and catastrophes --
Dynamical systems --
Epilogue.

✦ Subjects

Математика;Нелинейная динамика;