Chaotic chaos and the researching researcher

Chaotic iterations and topological chaos

Chaotic iterations have been introduced on the one hand by Chazan, Miranker [5] and Miellou [9] in a numerical analysis context, and on the other hand by Robert [11] and Pellegrin [10] in the discrete dynamical systems framework. In both cases, the objective was to derive conditions of convergence of such iterations to a fixed state. In this paper, a new point of view is presented, the goal her...

Hyperlabyrinth chaos: from chaotic walks to spatiotemporal chaos.

In this paper we examine a very simple and elegant example of high-dimensional chaos in a coupled array of flows in ring architecture that is cyclically symmetric and can also be viewed as an N-dimensional spatially infinite labyrinth (a "hyperlabyrinth"). The scaling laws of the largest Lyapunov exponent, the Kaplan-Yorke dimension, and the metric entropy are investigated in the high-dimension...

Controlling chaos in a chaotic neural network

The chaotic neural network constructed with chaotic neuron shows the associative memory function, but its memory searching process cannot be stabilized in a stored state because of the chaotic motion of the network. In this paper, a pinning control method focused on the chaotic neural network is proposed. The computer simulation proves that the chaos in the chaotic neural network can be control...

Integrated Chaos Generator for Chaotic Communication Syste..

This paper analyses a method by which chaos is generated using electronic circuits. The chaos generator required for this purpose is based on utilizing the one dimensional piece wise linear Bernoulli Shift map. The iterative map is realized using a feedback system consisting of programmable amplifier and a unity-gain sample-and-hold amplifier. The sample and hold amplifier provides necessary de...

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