Design and dynamics of the multicavity hyperchaotic map based on offset boosting

Liang, Ziwei; Sun, Kehui; He, Shaobo

doi:10.1140/epjp/s13360-021-02278-y

Cited by 14 publications

(7 citation statements)

References 37 publications

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“…When switch S 1 is closed and S 2 and S 3 are disconnected, the ACS4I system is revealed and the circuit equation is equation (14). When switch S 2 is closed and S 1 and S 3 are disconnected, the ACS4II system is displayed and the circuit equation is equation (15). When switch S 3 is closed and S 1 and S 2 are disconnected, the ACS4III system is exhibited, and the circuit equation is equation (16).…”

Section: Circuit Implementationmentioning

confidence: 99%

“…Furthermore, chaotic signal needs conditioning before application including amplitude control and offset boosting [12][13][14]. Fortunately, some special chaotic systems can output chaotic signals with the control of amplitude, offset, or amplitude combined with frequency [15][16][17][18]. Chaotic signal with controllable amplitude and frequency can benefit secure communication for its flexible output.…”

Section: Introductionmentioning

confidence: 99%

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A compact multi-output chaotic system with amplitude/frequency control

Li¹,

Li²,

Zhang³

et al. 2023

Phys. Scr.

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A compact switchable chaotic oscillator is proven with great benefit for chaos-based application. The multifarious chaotic signals with multiple amplitude and frequency can save the circuit modules for signal conditioning. By introducing more linear terms in those chaotic systems with amplitude/frequency control, a compact multi-output chaotic system is derived and corresponding simplified circuit is constructed, where only two multipliers are employed in the simplified circuit avoiding the overusing of integrated components. Simplified chaotic circuit outputs more applicable chaotic signals for chaos-based engineering. Circuit simulation proves the convenience for outputting desired oscillations.

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Section: Circuit Implementationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A compact multi-output chaotic system with amplitude/frequency control

Li¹,

Li²,

Zhang³

et al. 2023

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…In addition, the system also has a variety of complex dynamic phenomena, including a multi-wing chaotic attractor [31][32][33], symmetric chaotic attractor [34][35][36], chaotic degradation, coexisting attractor and so on. Offset boosting [37][38][39] is also a feature of the system, which means that the system can be controlled flexibly through the introduction of feedback states. Finally, the feasibility of the system is verified by the DSP platform.…”

Section: Mathematical Modelmentioning

confidence: 99%

Dynamic Analysis and DSP Implementation of Memristor Chaotic Systems with Multiple Forms of Hidden Attractors

2022

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In this paper, a new six dimensional memristor chaotic system is designed by combining the chaotic system with a memristor. By analyzing the phase diagram of the chaotic attractors, eleven different attractors are found, including a multi-wing attractor and symmetric attractors. By analyzing the equilibrium point of the system, it is proven that the system has the property of a hidden chaotic attractor. The dynamic behavior of the system when the three parameters change is analyzed by means of LEs and a Bifurcation diagram. Other phenomenon, such as chaos degradation, coexistence of multiple attractors and bias boosting, are also found. Finally, the simulation on the DSP platform also verifies the accuracy of the chaotic system simulation. The theoretical analysis and simulation results show that the system has rich dynamical characteristics; therefore, it is suitable for secure communication and image encryption and other fields.

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“…Subsequently, many scholars have done a lot of research on offset boosting behavior. For example, offset boosting has been found in conservative chaotic systems [30][31][32], fractional-order chaotic systems [33], discrete chaotic systems [34,35], and HR neuron models [36]. In 2021, Chunbiao Li et al concluded two methods to realize offset boosting, one is based on introducing a control constant, and the other is adding periodic trigonometric or absolute value functions and then changing the initial values of the system [37].…”

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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Design and dynamics of the multicavity hyperchaotic map based on offset boosting

Cited by 14 publications

References 37 publications

A compact multi-output chaotic system with amplitude/frequency control

A compact multi-output chaotic system with amplitude/frequency control

Dynamic Analysis and DSP Implementation of Memristor Chaotic Systems with Multiple Forms of Hidden Attractors

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

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