05515nam 22013333a 450 991034683960332120250203235437.09783038978992303897899X10.3390/books978-3-03897-899-2(CKB)4920000000095244(oapen)https://directory.doabooks.org/handle/20.500.12854/54755(ScCtBLL)1230cade-9820-47e4-8d66-31bdaebae392(OCoLC)1163853476(oapen)doab54755(EXLCZ)99492000000009524420250203i20192019 uu engurmn|---annantxtrdacontentcrdamediacrrdacarrierNonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited AttractorsJesus M. Munoz-Pacheco, Jacques Kengne, Sajad Jafari, Christos VolosMDPI - Multidisciplinary Digital Publishing Institute2019Basel, Switzerland :MDPI,2019.1 electronic resource (290 p.)9783038978985 3038978981 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.History of engineering and technologybicsscS-Box algorithmempirical mode decompositionservice gameexistencehyperchaotic systemstatic memorycomplex-variable chaotic systemneural networkfractional-orderpermutation entropyadaptive approximator-based controlBOPSBogdanov Mapcomplex systemsThurston’s algorithmparameter estimationfractional discrete chaosfull state hybrid projective synchronizationself-excited attractorstabilityPRNGinverse full state hybrid projective synchronizationentropy measurechaoschaotic flowmultistablecore entropymultiscale multivariate entropymultistabilitynew chaotic systemstrange attractorschaotic systemsspatial dynamicsspectral entropyresonatorstochastic (strong) entropy solutionmultichannel supply chainHubbard treeapproximate entropycircuit designcoexistencesample entropychaotic mapschaotic mapGaussian mixture modelentropylaserNon-equilibrium four-dimensional chaotic systemmultiple attractorsprojective synchronizationhidden attractorshidden attractorchaotic systementropy analysisself-excited attractorsmultiple-valuedself-reproducing systemimplementationunknown complex parametersoptimization methodsimage encryptiongeneralized synchronizationuncertain dynamicsfractional ordernonlinear transport equationexternal raysLyapunov exponentsinverse generalized synchronizationfixed pointuniquenesselectronic circuit realizationsynchronizationHopf bifurcationHistory of engineering and technologyMunoz-Pacheco Jesus M1788025Kengne JacquesJafari SajadVolos ChristosScCtBLLScCtBLLBOOK9910346839603321Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors4322321UNINA