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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.
Chaos (Woodbury, N.Y.)
|July 3, 2020
Summary
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.
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.
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