Fractional-order multiwing switchable chaotic system with a wide range of parameters

Yan, Minxiu; Jie, Jingfeng

doi:10.1016/j.chaos.2022.112161

Cited by 13 publications

(1 citation statement)

References 36 publications

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“…Minxiu Yan et al constructed the classical fractional-order chaotic system as an auto-switching system using a sign function, which provides ideas for automatic switching. However, its circuit simulation part is manually switched through analog switches [24], which may cause inconvenience in practice. Mohamed Salah Azzaz implemented an automatic switching system with three subsystems using FPGA by setting switching rules to generate multiple attractors [25].…”

Section: Introductionmentioning

confidence: 99%

Complex dynamics analysis and feedback control for a memristive switched chaotic system

Shi,

Du,

Liu

2023

Phys. Scr.

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A switched chaotic system is proposed by connecting the memristor to the Rössler system through a time-switching function in this paper. Under the action of the switching function, the system can achieve switching between two subsystems with different structures. The switched system has super multiple coexisting attractors for different initial values, there are chaotic and quasi-periodic offset boosting, as well as various transient transition behaviors. It is interesting to note that besides the initial-dependent offset boosting, there are three other types of offset boosting behaviors, of which time-based offset boosting has not been found in other systems. In addition, the switching function can make the attractor self-replicate and produce intermittent chaos, and transient transition behavior also occurs in a short time during the intermittent process. These findings indicate that the switched system has complex dynamic characteristics. Both analog and DSP digital circuits confirm the physical feasibility of the novel offset-boosting behavior. Finally, to further implement the switched system in engineering applications, we designed a feedback controller. Matlab numerical calculations and Multisim circuit simulation demonstrate that the state variables of each subsystem can be well controlled under the action of the feedback controller.

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Section: Introductionmentioning

confidence: 99%