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This study introduces a simplified Chua's circuit with a simpler structure, achieving multiple coexisting attractors. The novel circuit exhibits multistability and striking dynamical behaviors, offering new insights into nonlinear dynamics.

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Area of Science:

  • Nonlinear Dynamics and Chaos Theory
  • Circuit Theory and Electronic Engineering

Background:

  • The classical Chua's circuit is a fundamental system for studying chaos.
  • Existing realizations can be complex, limiting broader application and analysis.

Purpose of the Study:

  • To design a simplified Chua's circuit using a one-stage op-amp based negative impedance converter.
  • To investigate the rich nonlinear dynamics and multistability of the improved circuit.

Main Methods:

  • Implementation of a simplified Chua's diode with a positive outer segment slope.
  • Numerical simulations of dimensionless Chua's equations to analyze dynamical properties.
  • Experimental validation of simulated results, including attractor capture.

Main Results:

  • A simplified Chua's circuit with identical mathematical model but different nonlinearity to the classical circuit was designed.
  • Multiple coexisting attractors, including point attractors, limit cycles, and double-scroll chaotic attractors, were simulated and captured.
  • The system exhibits two symmetric stable nonzero node-foci and multistability.

Conclusions:

  • The proposed simplified Chua's circuit offers a more accessible platform for studying complex nonlinear phenomena.
  • The demonstrated multistability and diverse attractors highlight the system's potential for novel applications in chaos-based engineering.