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Generating multi-double-scroll attractors via nonautonomous approach.

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This summary is machine-generated.

Researchers developed a new nonautonomous method to generate multi-double-scroll attractors (MDSA) in chaotic systems. This approach uses multi-level-logic pulse excitation without altering the system

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Area of Science:

  • Nonlinear Dynamics and Chaos Theory
  • Circuit Theory
  • Complex Systems

Background:

  • Multi-scroll attractors are typically generated by modifying nonlinear functions in chaotic systems.
  • Existing methods often require complex function alterations, limiting flexibility.

Purpose of the Study:

  • To present a novel nonautonomous approach for generating multi-double-scroll attractors (MDSA).
  • To demonstrate this method's effectiveness without altering original nonlinear functions.

Main Methods:

  • Utilizing multi-level-logic pulse excitation in double scroll chaotic systems.
  • Applying the technique to Chua's circuit, a Jerk circuit, and a modified Lorenz system.
  • Validating results through Matlab simulations and Pspice circuit realization.

Main Results:

  • Successfully generated MDSA in the example systems using the proposed excitation method.
  • Numerical simulations confirmed the feasibility of the approach.
  • Pspice simulations of realization circuits corroborated the numerical findings.

Conclusions:

  • The nonautonomous approach using multi-level-logic pulse excitation is an effective method for generating MDSA.
  • This technique offers a flexible alternative to modifying nonlinear functions.
  • The proposed method is validated for practical implementation in chaotic systems.