The multi‐mode chaotic behaviors: N+N and 2D N‐scroll chaotic attractors

Abstract

Purpose

The purpose of this paper is to present a simulation and realization of the different types of chaotic attractors using the generalized Chua's circuit equations.

Design/methodology/approach

This paper presents n+n‐scroll and 2D n‐scroll chaotic attractors by introducing multiple breakpoints to the nonlinearity. Two piece‐wise linear elements controlled with x‐ and y‐state space variables are used. Chaotic scrolls are originated through both x‐ and y‐axes. The current feedback operational amplifiers are preferred in the experimental circuits because of their wide bandwidth.

Findings

It is possible to increase the number of the scrolls in two directions by varying the number of breakpoints in the piece‐wise linear characteristics or changing the location of equilibrium points of the system on 2D‐plane. Theoretically developed behaviors are also experimentally tested.

Originality/value

The excellent adaptation is observed between theoretical and experimental results. This paper also provides useful information about how to build the multiple breakpoints nonlinear elements using the simulation results.

Citation

Türk, M. and Ata, F. (2006), "The multi‐mode chaotic behaviors: N+N and 2D N‐scroll chaotic attractors", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 25 No. 4, pp. 929-939. https://doi.org/10.1108/03321640610684088