TY  - GEN
AU  - Kengne,Jacques
AU  - Munoz-Pacheco,Jesus M.
AU  - Rajagopal,Karthikeyan
AU  - Jafari,Sajad
AU  - Volos,Christos
TI  - Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors
SN  - books978-3-03897-899-2
PY  - 2019///
PB  - MDPI - Multidisciplinary Digital Publishing Institute
KW  - S-Box algorithm
KW  - empirical mode decomposition
KW  - service game
KW  - existence
KW  - hyperchaotic system
KW  - static memory
KW  - complex-variable chaotic system
KW  - neural network
KW  - fractional-order
KW  - permutation entropy
KW  - adaptive approximator-based control
KW  - BOPS
KW  - Bogdanov Map
KW  - complex systems
KW  - Thurston’s algorithm
KW  - parameter estimation
KW  - fractional discrete chaos
KW  - full state hybrid projective synchronization
KW  - self-excited attractor
KW  - stability
KW  - PRNG
KW  - inverse full state hybrid projective synchronization
KW  - entropy measure
KW  - chaos
KW  - chaotic flow
KW  - multistable
KW  - core entropy
KW  - multiscale multivariate entropy
KW  - multistability
KW  - new chaotic system
KW  - strange attractors
KW  - chaotic systems
KW  - spatial dynamics
KW  - spectral entropy
KW  - resonator
KW  - stochastic (strong) entropy solution
KW  - multichannel supply chain
KW  - Hubbard tree
KW  - approximate entropy
KW  - circuit design
KW  - coexistence
KW  - sample entropy
KW  - chaotic maps
KW  - chaotic map
KW  - Gaussian mixture model
KW  - entropy
KW  - laser
KW  - Non-equilibrium four-dimensional chaotic system
KW  - multiple attractors
KW  - projective synchronization
KW  - hidden attractors
KW  - hidden attractor
KW  - chaotic system
KW  - entropy analysis
KW  - self-excited attractors
KW  - multiple-valued
KW  - self-reproducing system
KW  - implementation
KW  - unknown complex parameters
KW  - optimization methods
KW  - image encryption
KW  - generalized synchronization
KW  - uncertain dynamics
KW  - fractional order
KW  - nonlinear transport equation
KW  - external rays
KW  - Lyapunov exponents
KW  - inverse generalized synchronization
KW  - fixed point
KW  - uniqueness
KW  - electronic circuit realization
KW  - synchronization
KW  - Hopf bifurcation
N1  - Open Access
N2  - 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
UR  - https://mdpi.com/books/pdfview/book/1279
UR  - https://directory.doabooks.org/handle/20.500.12854/54755
ER  -