ArticleScientific reports2023
Dynamical behaviors, circuit design, and synchronization of a novel symmetric chaotic system with coexisting attractors.
Article in Scientific reports, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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Who cites it
2 citing papers in PubMed.
- Chaos-enhanced manganese electrolysis: nodule suppression and improved efficiency using controllable chaotic electrical signals.Scientific reports · 2025Article
- Chaotic systems based on higher-order oscillatory equations.Scientific reports · 2024Article
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Authors and funding
5 authors.
Funding
Abstract
In this paper, we introduce a novel three-dimension chaotic system with strange characteristic by applying construction of a 3D chaotic circuit method. Multiple equilibria and abundant coexisting attractors exist in this system. A mathematical model is developed and detailed stability analyses for equilibrium points are executed with obtaining significant results of the period-doubling bifurcation patterns confirmed by phase plane plots and Lyapunov exponent spectra. By varying the initial value and unique controlled parameter, the double-scroll chaotic attractor is broken up into a pair of symmetric singular attractors. Then, the local basins of attraction are investigated concerning the initial condition. Next, the circuit synthesis results generated by Multisim simulation tool validate the self-excitation characteristics of this system. Finally, the feedback control technique is used to study difference synchronization of this system. Main conclusions prove the validity and reliability of difference synchronization.
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Registered trials
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