Bifurcation Phenomenon and Chaos

Raghunath Prasad Rastogi|Pankaj Mathur

ISBN 10: 3659712248 / ISBN 13: 9783659712241

Published by LAP LAMBERT Academic Publishing, 2015

Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Rastogi Raghunath PrasadR P Rastogi, Professor of Chemistry, Ex-Vice Chancellor, Banaras Hindu University, Varanasi, INDIA. Hon ble Fellow Indian National Science Academy, Recipient of Lifetime Achievement award by Indian Chemical S. Seller Inventory # 158224193

Synopsis:

When we move away from equilibrium, we can come across following type of situations, Equilibrium state → Linear steady state close to equilibrium → Meta stable equilibrium (super saturation, crystallization) → Non-linear steady state → Bifurcation phenomena → Multi stability → Temporal and spatio-temporal oscillations (Chaos, turbulence, pattern Formation, Fractal growth). In the present communication, attempt has been made to present such developments in a simple manner which may be easily understandable to mathematicians including social scientists. In order to have physical concept of cause-effect sequence in variety of phenomena discussed above Causality principle has been discussed. For application of ideas complexity prevailing in the natural and living systems in non-equilibrium has been discussed to provide theoretical background for the mathematical analysis of such systems. Periodic complex oscillations are quite common in living and natural systems due to complex interrelationship of sociopolitical and socioeconomic processes. For stability analysis of complexity modified Lorentz Model and modified Rossler Model have been used. Computational results have been summarized.

Bibliographic Details

Title: Bifurcation Phenomenon and Chaos
Publisher: LAP LAMBERT Academic Publishing
Publication Date: 2015
Binding: Soft cover
Condition: New