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A modified Rössler prototype-4 system based on Chua’s diode nonlinearity : Dynamics, multistability, multiscroll generation and FPGA implementation

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  • Kuate, Paul Didier Kamdem
  • Tchendjeu, Achille Ecladore Tchahou
  • Fotsin, Hilaire

Abstract

Since the introduction of chaos theory, the design of simple chaotic systems exhibiting complex dynamics has always been a hot research topic. Multistability and multiscroll generation are studied and applied in several domains like cryptography and engineering. This paper aims to construct a new three-dimensional chaotic system with up to eight coexisting attractors, inspired from one of the first prototype equations introduced by Rössler in 1976. The proposed system is multiplier-free, variable boostable and exclusively based on the Chua’s diode nonlinearity. The use of familiar tools such as bifurcation diagrams, Lyapunov exponents spectra, basins of attraction, frequency power spectra as well as Poincaré map help to demonstrate its richer and complex dynamics. Chaos, antimonotonicity, total amplitude control, multistability as well as the multiscroll generation are investigated. Finally, an FPGA-based implementation is presented to confirm its feasibility.

Suggested Citation

  • Kuate, Paul Didier Kamdem & Tchendjeu, Achille Ecladore Tchahou & Fotsin, Hilaire, 2020. "A modified Rössler prototype-4 system based on Chua’s diode nonlinearity : Dynamics, multistability, multiscroll generation and FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    • Handle: RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920306093
    DOI: 10.1016/j.chaos.2020.110213
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    1. Azam, Anam & Aqeel, Muhammad & Sunny, Danish Ali, 2022. "Generation of Multidirectional Mirror Symmetric Multiscroll Chaotic Attractors (MSMCA) in Double Wing Satellite Chaotic System," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. Ngamsa Tegnitsap, J.V. & Fotsin, H.B., 2022. "Multistability, transient chaos and hyperchaos, synchronization, and chimera states in wireless magnetically coupled VDPCL oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    3. Echenausía-Monroy, J.L. & Gilardi-Velázquez, H.E. & Wang, Ning & Jaimes-Reátegui, R. & García-López, J.H. & Huerta-Cuellar, G., 2022. "Multistability route in a PWL multi-scroll system through fractional-order derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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