Observation of chaotic and strange nonchaotic attractors in a simple multi-scroll system

Observation of chaotic and strange nonchaotic attractors in a simple multi-scroll system The dynamics of third-order chaotic circuit with threshold controller as a nonlinear element is reported. The circuit and the preliminary result reported by Chithra et al. (J Comput Electron 16:883–889, 2017), are considered as a prototype by adding quasiperiodic force in the original circuit. This present work focuses attention on exhibiting all possible nonlinear dynamical phenomena (i.e., periodic motion, chaotic, strange nonchaotic and multi-scroll attractor) for a different set of circuit parametric values. The approach helps in proof-of-experimental concept to implement all possible complex dynamical behaviors from a single circuit. Further, we also place emphasis on numerical simulation and physical circuit realization on the breadboard. The existence of strange nonchaotic attractor is quantitatively confirmed by calculating $${ 0}{-}{} { 1}$$ 0 - 1 test and singular-continuous spectrum analysis. We then find this circuit has potential to produce multi-scroll strange nonchaotic attractor by increasing threshold values. The experimental results are identical to numerical simulations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Computational Electronics Springer Journals

Observation of chaotic and strange nonchaotic attractors in a simple multi-scroll system

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Publisher
Springer US
Copyright
Copyright © 2017 by Springer Science+Business Media, LLC
Subject
Engineering; Mathematical and Computational Engineering; Electrical Engineering; Theoretical, Mathematical and Computational Physics; Optical and Electronic Materials; Mechanical Engineering
ISSN
1569-8025
eISSN
1572-8137
D.O.I.
10.1007/s10825-017-1104-6
Publisher site
See Article on Publisher Site

Abstract

The dynamics of third-order chaotic circuit with threshold controller as a nonlinear element is reported. The circuit and the preliminary result reported by Chithra et al. (J Comput Electron 16:883–889, 2017), are considered as a prototype by adding quasiperiodic force in the original circuit. This present work focuses attention on exhibiting all possible nonlinear dynamical phenomena (i.e., periodic motion, chaotic, strange nonchaotic and multi-scroll attractor) for a different set of circuit parametric values. The approach helps in proof-of-experimental concept to implement all possible complex dynamical behaviors from a single circuit. Further, we also place emphasis on numerical simulation and physical circuit realization on the breadboard. The existence of strange nonchaotic attractor is quantitatively confirmed by calculating $${ 0}{-}{} { 1}$$ 0 - 1 test and singular-continuous spectrum analysis. We then find this circuit has potential to produce multi-scroll strange nonchaotic attractor by increasing threshold values. The experimental results are identical to numerical simulations.

Journal

Journal of Computational ElectronicsSpringer Journals

Published: Nov 23, 2017

References

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