A Switchable Chaotic Oscillator with Multiscale Amplitude/Frequency Control

Sheng, Zhoubin; Li, Chunbiao; Gao, Yikai; Li, Zhinan; Chai, Lin

doi:10.3390/math11030618

Cited by 6 publications

(3 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, it usually has high-security performance in secure communication. So far, there are two main methods to generate the switched system, one is manual switching [21], and the other is automatic switching [22]. Automatic switching does not require human intervention to realize automatic switching between different systems, which can avoid switching failure caused by mechanical switching abnormality.…”

Section: Introductionmentioning

confidence: 99%

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

Shi,

Du,

Liu

2023

Phys. Scr.

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

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

Shi,

Du,

Liu

2023

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…Sha et al designed an encryption algorithm using a hopfield neural network, and the results showed superior performance [21]. Sheng et al proposed a multi-scale adjustment method for the amplitude and frequency of chaotic signals in order to better control chaotic systems [22]. However, as the research progresses, it was found that the maximum Lyapunov exponent of integerorder chaotic systems with the introduction of memory elements was not high enough, leading to the limitation of their chaotic properties.…”

Section: Introductionmentioning

confidence: 99%

A Chaos-Enhanced Fractional-Order Chaotic System with Self-Reproduction Based on a Memcapacitor and Meminductor

Wang,

Cao,

et al. 2023

Fractal Fract

View full text Add to dashboard Cite

Chaotic signals generated by chaotic oscillators based on memory elements are suitable for use in the field of confidential communications because of their very good randomness. But often their maximum Lyapunov exponent is not high enough, so the degree of randomness is not enough. It can be chaos enhanced by transforming it to fractional order using the Caputo differential definition. In this paper, based on the proposed hyperchaotic oscillator, it is extended to a fractional-order form to obtain a chaos-enhanced fractional-order memcapacitor meminductor system, in which several different styles of chaotic and hyperchaotic attractors are found. The dynamical behaviour of the system is studied using bifurcation diagrams, Lyapunov exponent spectrums and Lyapunov dimensions. The multistability of the system is explored in different initial orbits, and the spectral entropy complexity of this system is examined. Finally, a hardware implementation of the memcapacitor meminductor system is given, which demonstrates the effectiveness of the system. This study provides a reference for the study of chaos-enhanced.

show abstract

“…Chaotic dynamics are encountered in many engineering applications, such as network systems, digital communications, mechanical systems, organic phenomena for example biological populations, and so on [1][2][3][4]. These dynamical systems have several unique characteristics, such as randomness, non-periodicity, and high sensitivity to the initial values.…”

Section: Introductionmentioning

confidence: 99%

Design of a Fixed-Time Stabilizer for Uncertain Chaotic Systems Subject to External Disturbances

et al. 2023

View full text Add to dashboard Cite

This paper addresses the fixed-time stability problem of chaotic systems with internal uncertainties and external disturbances. To this end, new sliding-mode surfaces are introduced to design fixed-time controllers for the stabilization of perturbed chaotic systems. First, the required conditions for deriving fixed-time stability are determined. Then, using the obtained stability theorems and sliding mode techniques, the controllers are synthesized. The proposed controller enables the convergence of the trajectories of the chaotic system to the origin in finite time, independently of the initial conditions. The performance of the proposed approach is assessed using a simulation study of a PMSM system and the Matouk system. Among the advantages of the proposed controller are its robustness to external disturbances and the boundedness of the settling time to a constant value for any initial condition.

show abstract

A Switchable Chaotic Oscillator with Multiscale Amplitude/Frequency Control

Cited by 6 publications

References 29 publications

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

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

A Chaos-Enhanced Fractional-Order Chaotic System with Self-Reproduction Based on a Memcapacitor and Meminductor

Design of a Fixed-Time Stabilizer for Uncertain Chaotic Systems Subject to External Disturbances

Contact Info

Product

Resources

About