We discuss the appearance of cyclic and toroidal chaos in Hopfield neural networks. The theoretical results may strongly relate to investigations of brain activities performed by neurobiologists. As new phenomena, extension of chaos by entrainment of several limit cycles as well as the attraction of cyclic chaos by an equilibrium are discussed. Appropriate simulations that support the theoretic...

In this correspondence, a generation method of maximal-period pseudochaotic sequences obtained from discretized one dimensional chaos maps is theoretically shown, in which the relationship of discrete maps and transpositions plays a key role. From the method, a simple algorithm for generating a collection of maximal-period sequences obtained by a class of piecewise linear discretized chaos maps...

This paper investigates the utilization of the timecontinuous chaotic system as the chaotic pseudo random number generators. (CPRNGs) Several selected chaotic oscillators are simulated, statistically analyzed and compared within this initial research study. Keywords—Evolutionary algorithms; Differential evolution; Chaos; Chaotic Oscillators, PRNG

This paper proposes a novel approach based on the chaos eye method (CEM) and extension neural network (ENN) for fault diagnosis of wind power systems. First, we used sensors to capture the vibration signals of the wind power system to detect subtle changes. Subsequently, the chaotic synchronization detection method was used to form a chaos error distribution diagram. The distribution diagram ce...

The present study deals with a theoretical analysis of the effect of delay time of energy transport upon the generation of complex dynamics in continuous physical system. The importance of this time for the presence of quasi-periodicity and chaos in a reactor is demonstrated. The considerations are preceded by the analysis of one-dimensional mathematical model.

In this paper, a new digital chaos circuit which can generate multiple-scroll strange attractors is proposed. Being based on the piecewise-linear function which is determined by on-chip supervised learning, the proposed digital chaos circuit can generate multiple-scroll strange attractors. Hence, the proposed circuit can exhibit various bifurcation phenomena. By numerical simulations, the learn...

Abstract: Erbium-doped fiber laser systems exhibit a large variety of complex dynamical behaviors, bifurcations and attractors. In this paper, the chaotic behavior which can be achieved under certain conditions in a laser system with erbium-doped fiber, is discussed. The chaos in this system occurs through several standard scenarios. In this paper, the simulation sequence of quasiperiodic, inte...

Two chaos generator circuits using dual-output second-generation current conveyors [DO-CCIIs] as active devices with grounded passive components are realized. The starting circuit is a voltage-mode four-phase sinusoidal quadrature oscillator [VMFPSQO] circuit for realizing both the chaos generators. The first chaos generator is derived by modifying the VMPFSQO by inserting an additional frequen...

We experimentally demonstrate chaos generation based on collisions of electrical solitons on a nonlinear transmission line. The nonlinear line creates solitons, and an amplifier connected to it provides gain to these solitons for their self-excitation and self-sustenance. Critically, the amplifier also provides a mechanism to enable and intensify collisions among solitons. These collisional int...