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Coexisting chaotic attractor based on complex transformation: multi-fold dynamical and implementation
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DOI：10.1140/epjp/s13360-026-07793-4.png)
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Abstract
En 中文
Based on a continuous-time seed chaotic system, this paper extends the system structure by complex field transformation, and constructs several multi-fold chaotic systems. The article analyzes the impact of changes in folding order on the dynamic behaviors of different systems. Further investigation reveals that there is a clear coexistence of chaotic attractors in both the seed system and different folded systems under fixed parameters. To further describe the geometric characteristics of the coexisting chaos in the folded systems, this paper introduces the chaotic sequences generated by the original system and its folded systems into a parabolic mapping, through which the chaotic trajectories are nonlinearly reconstructed and redistributed. Based on this, by extending the parabolic mapping with a rotation matrix, a rotational parabolic mapping model is constructed, which enables the coexisting chaotic attractors to expand in different directions, thereby forming an attractor coexistence structure with adjustable properties. The hardware simulation results verify the observability of the proposed folded system and provide new insights into the structural design and application of complex chaotic systems.
Keywords:
chaotic attractor
complex field transformation
multi-fold system
coexistence
parabolic mapping
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490
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