Abstract | Keywords | Export | Availability | Bookmark

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

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