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Elements of Applied Bifurcation Theory

Posted By: AvaxGenius
Elements of Applied Bifurcation Theory

Elements of Applied Bifurcation Theory by Yuri A. Kuznetsov
English | PDF,EPUB | 2023 | 722 Pages | ISBN : 3031220064 | 68.7 MB

This is a book on nonlinear dynamical systems and their bifurcations under parameter variation. It provides a reader with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems. Special attention is given to efficient numerical implementations of the developed techniques. Several examples from recent research papers are used as illustrations.

Synergetics: An Introduction

Posted By: AvaxGenius
Synergetics: An Introduction

Synergetics: An Introduction by Hermann Haken
English | PDF | 1983 | 395 Pages | ISBN : 3642883400 | 32.1 MB

Over the past years the field of synergetics has been mushrooming. An ever­ increasing number of scientific papers are published on the subject, and numerous conferences all over the world are devoted to it. Depending on the particular aspects of synergetics being treated, these conferences can have such varied titles as "Nonequilibrium Nonlinear Statistical Physics," "Self-Organization," "Chaos and Order," and others.

Practical Numerical Algorithms for Chaotic Systems (Repost)

Posted By: AvaxGenius
Practical Numerical Algorithms for Chaotic Systems (Repost)

Practical Numerical Algorithms for Chaotic Systems by Thomas S. Parker
English | PDF | 1989 | 353 Pages | ISBN : 1461281210 | 24.5 MB

One of the basic tenets of science is that deterministic systems are completely predictable-given the initial condition and the equations describing a system, the behavior of the system can be predicted 1 for all time. The discovery of chaotic systems has eliminated this viewpoint. Simply put, a chaotic system is a deterministic system that exhibits random behavior.