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Dynamics editing based on offset boosting.

Chunbiao Li1, Tengfei Lei2, Xiong Wang3

  • 1Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science and Technology, Nanjing 210044, China.

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Summary
This summary is machine-generated.

Controlling multistability in chaotic systems is challenging due to fractal basins. Dynamics editing offers a solution by arranging attractors in phase space for predictable outcomes and secure communications.

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Area of Science:

  • Nonlinear Dynamics and Chaos Theory
  • Complex Systems Analysis

Background:

  • Multistability in dynamical systems presents complex, unpredictable states.
  • Fractal basin structures in chaotic systems complicate the selection of initial conditions for desired dynamics.

Purpose of the Study:

  • To develop a transparent and controllable method for managing multistability in dynamical systems.
  • To enable the identification of specific attractors based on their initial sequence.

Main Methods:

  • Utilizing 'dynamics editing' to select and arrange typical attractors within the phase space.
  • Organizing selected attractors into a defined dynamical sequence.

Main Results:

  • Demonstrated that arranging attractors in a sequence makes multistability controllable via initial conditions.
  • Established a method to identify specific attractors by their corresponding initial sequences.

Conclusions:

  • Dynamics editing provides an effective technique for controlling multistability.
  • This approach holds significant potential for applications in chaos-based secure communications.