Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-Excited Attractors

ISBN 10: 3038978981 / ISBN 13: 9783038978985

Verlag: MDPI AG, MDPI AG, 2019

Beschreibung

nach der Bestellung gedruckt Neuware - Printed after ordering - In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors.The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters.This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.

Bestandsnummer des Verkäufers 9783038978985

Bibliografische Details

• Titel: Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-Excited Attractors
• Verlag: MDPI AG, MDPI AG
• Erscheinungsjahr: 2019
• Sprache: Englisch
• ISBN-10: 3038978981
• ISBN-13: 9783038978985
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 244B x 170 H x 19 T Millimeter Breite: 244 mm, Höhe: 170 mm, Tiefe: 19 mm
• Gewicht: 746 Gramm

Über diesen Titel

Inhaltsangabe

In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors.

The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters.

This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.