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

• Main Author: Kengne, Jacques (auth)
• Other Authors: Munoz-Pacheco, Jesus M. (auth), Rajagopal, Karthikeyan (auth), Jafari, Sajad (auth), Volos, Christos (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: MDPI - Multidisciplinary Digital Publishing Institute 2019
• Subjects: History of engineering & technology; S-Box algorithm; empirical mode decomposition; service game; existence; hyperchaotic system; static memory; complex-variable chaotic system; neural network; fractional-order; permutation entropy; adaptive approximator-based control; BOPS; Bogdanov Map; complex systems; Thurston's algorithm; parameter estimation; fractional discrete chaos; full state hybrid projective synchronization; self-excited attractor; stability; PRNG; inverse full state hybrid projective synchronization; entropy measure; chaos; chaotic flow; multistable; core entropy; multiscale multivariate entropy; multistability; new chaotic system; strange attractors; chaotic systems; spatial dynamics; spectral entropy; resonator; stochastic (strong) entropy solution; multichannel supply chain; Hubbard tree; approximate entropy; circuit design; coexistence; sample entropy; chaotic maps; chaotic map; Gaussian mixture model; entropy; laser; Non-equilibrium four-dimensional chaotic system; multiple attractors; projective synchronization; hidden attractors; hidden attractor; chaotic system; entropy analysis; self-excited attractors; multiple-valued; self-reproducing system; implementation; unknown complex parameters; optimization methods; image encryption; generalized synchronization; uncertain dynamics; fractional order; nonlinear transport equation; external rays; Lyapunov exponents; inverse generalized synchronization; fixed point; uniqueness; electronic circuit realization; synchronization; Hopf bifurcation
• Online Access: DOAB: download the publication; DOAB: description of the publication

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...