The first hidden chaotic attractor was discovered in a dimensionless piecewise-linear Chua's system with a special Chua's diode. But designing such physical Chua's circuit is a challenging task due to the distinct slopes of Chua's diode. In this paper, a modified Chua's circuit is implemented using a 5-segment piecewise-linear Chua's diode. In particular, the coexisting phenomena of hidden attractors and three point attractors are noticed in the entire period-doubling bifurcation route. Attraction basins of different coexisting attractors are explored. It is demonstrated that the hidden attractors have very small basins of attraction not being connected with any fixed point. The PSIM circuit simulations and DSP-assisted experiments are presented to illustrate the existence of hidden attractors and coexisting attractors.

Original languageEnglish
Article number105494
Number of pages15
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume92
Early online date15 Aug 2020
DOIs
StatePublished - Jan 2021

    Scopus subject areas

  • Applied Mathematics
  • Numerical Analysis
  • Modelling and Simulation

    Research areas

  • Attraction basin, Chaos, Chua's circuit, Chua's diode, Hidden attractor, Initial condition, Multistability, SYSTEM, BIFURCATION

ID: 71008601