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

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...

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Bibliographic Details
Main Author: Kengne, Jacques
Other Authors: Munoz-Pacheco, Jesus M., Rajagopal, Karthikeyan, Jafari, Sajad
Format: eBook
Language:English
Published: MDPI - Multidisciplinary Digital Publishing Institute 2019
Subjects:
Spectral Entropy
Chaotic Maps
Existence
Entropy Measure
Multichannel Supply Chain
Bops
Generalized Synchronization
Empirical Mode Decomposition
Hidden Attractors
Approximate Entropy
Chaotic Systems
Resonator
Fixed Point
Chaotic Map
Entropy Analysis
History Of Engineering And Technology / Bicssc
Multiple Attractors
Sample Entropy
Coexistence
New Chaotic System
Electronic Circuit Realization
Multiple-valued
Self-reproducing System
Fractional Order
Chaotic Flow
Hidden Attractor
Image Encryption
Fractional Discrete Chaos
Uniqueness
Adaptive Approximator-based Control
Service Game
Chaos
Parameter Estimation
Complex-variable Chaotic System
Spatial Dynamics
Multiscale Multivariate Entropy
Strange Attractors
Hopf Bifurcation
Inverse Generalized Synchronization
Nonlinear Transport Equation
Fractional-order
External Rays
Static Memory
Stability
Projective Synchronization
Thurston's Algorithm
Circuit Design
Prng
S-box Algorithm
Core Entropy
Multistable
Optimization Methods
Complex Systems
Chaotic System
Entropy
Implementation
Laser
Hubbard Tree
Self-excited Attractor
Full State Hybrid Projective Synchronization
Gaussian Mixture Model
Permutation Entropy
Unknown Complex Parameters
Non-equilibrium Four-dimensional Chaotic System
Synchronization
Bogdanov Map
Self-excited Attractors
Stochastic (strong) Entropy Solution
Inverse Full State Hybrid Projective Synchronization
Lyapunov Exponents
Uncertain Dynamics
Neural Network
Hyperchaotic System
Multistability
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
Description
Summary: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.
Item Description:Creative Commons (cc), https://creativecommons.org/licenses/by-nc-nd/4.0/
Physical Description:1 electronic resource (290 p.)
ISBN:9783038978992
9783038978985
books978-3-03897-899-2

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