Coexisting Attractors in a New Smooth Inductorless Chua’s Circuit

DOI

10.2991/acsr.k.191223.028How to use a DOI?

Keywords

smooth inductorless Chua’s circuit, active diode pair, coexisting attractors, coexisting period-doubling bifurcation modes

Abstract

The inductorless design method can facilitate experiment debugging and even engineering applications for various circuits. By introducing active diode pair as Chua’s diode, a new smooth inductorless Chua’s circuit is proposed based on a band pass filter with second order Sallen–Key topology. The dynamical analyses for this circuit are numerically carried out by use of bifurcation diagrams, Lyapunov exponent spectra and phase portraits. The results of numerical simulations and further circuit simulations reveal that this new circuit has rich dynamic behaviors of coexisting periodic attractors, coexisting single-scroll chaotic attractors, double-scroll chaotic attractor, periodic windows, boundary crisis and coexisting period-doubling bifurcation modes. This new circuit model and the corresponding research results enrich our understanding to Chua’s circuit.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Lei Zhu
AU  - Minghai Pan
PY  - 2019
DA  - 2019/12/24
TI  - Coexisting Attractors in a New Smooth Inductorless Chua’s Circuit
BT  - Proceedings of the 2019 International Conference on Big Data, Electronics and Communication Engineering (BDECE 2019)
PB  - Atlantis Press
SP  - 122
EP  - 125
SN  - 2352-538X
UR  - https://doi.org/10.2991/acsr.k.191223.028
DO  - 10.2991/acsr.k.191223.028
ID  - Zhu2019
ER  -