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

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Tác giả: Sajad Jafari, Jacques Kengne, Jesus M Munoz-Pacheco, Karthikeyan Rajagopal, Christos Volos

Ngôn ngữ: eng

ISBN-13: 978-3038978985

Ký hiệu phân loại:

Thông tin xuất bản: Basel, Switzerland : MDPI - Multidisciplinary Digital Publishing Institute, 2019

Mô tả vật lý: 1 electronic resource (290 p.)

Bộ sưu tập: Tài liệu truy cập mở

ID: 231844

 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.
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