Double memristors series hyperchaotic system with attractive coexistence and its circuit implementation

Wang, Jieyang; Cao, Yinghong; Mou, Jun; Liu, Xingce

doi:10.1140/epjs/s11734-021-00330-7

Cited by 6 publications

(2 citation statements)

References 53 publications

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“…When the initial condition is set to (a) y-v When only one global Lyapunov exponent is positive, the system is defined as a chaotic system. When there is more than a positive Lyapunov exponent, the system is defined as a hyperchaotic system [37]. In this section, the sampling interval as 0.01, the observation time is 2000, and the parameters and initial conditions are unchanged.…”

Section: Characteristic Analysis Of Hyperchaos In the Hybrid Memristi...mentioning

confidence: 99%

Nonlinear coexistence phenomenon and FPGA implementation with the hybrid of memristive–memcapacitive hyperchaotic system

Xu,

Zhang,

Ata

2024

Eur. Phys. J. Plus

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A hybrid circuit based on the magnetic-controlled memristor and charge-controlled memcapacitor is proposed in this paper. The circuit has hyperchaotic behavior in a large scale parameter range. By studying the influence of system parameters and initial conditions on the hybrid circuit, a variety of complex dynamic behaviors can be found: chaos turns into period, spike bursting, chaos turns into spike bursting and so on. Interestingly, different basins of attraction show different shapes. Selecting different basins of attraction positions, the direction of the chaotic attractor changes, but the shape does not change, thus forming a symmetrical coexistence attractor. The coexistence bifurcation diagram and coexistence time-domain waveform diagram under different initial conditions are studied, in the case of positive and negative changes in the initial value v0, the chaotic characteristics of the two cases are consistent. Meanwhile, a series of spectral entropy complexity distributions are analyzed, and find that special shapes are consistent with the attractive basins. Finally, on the platform of Cyclone IV E series, the FPGA main chip of EP4CE115F29C7 is used to complete the hardware implementation of the hybrid memristive-memcapacitive hyperchaotic circuit.

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Section: Characteristic Analysis Of Hyperchaos In the Hybrid Memristi...mentioning

confidence: 99%

Nonlinear coexistence phenomenon and FPGA implementation with the hybrid of memristive–memcapacitive hyperchaotic system

Xu,

Zhang,

Ata

2024

Eur. Phys. J. Plus

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“…Section 4 constructs a new kind of memristor by connecting a sine and cosine function memristor in series [ 30 ]. The dynamical properties, fractal dimension and Lyapunov exponents of the series memristor constructed are numerically investigated through its volt-ampere characteristics system.…”

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confidence: 99%

Frontiers of fractals for complex systems: recent advances and future challenges

Gowrisankar

Banerjee

2021

Eur. Phys. J. Spec. Top.

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A novel 2D non-autonomous discrete memristor-based hyperchaotic map and its hardware implementation

Wang,

Ding,

et al. 2024

Nonlinear Dyn

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Double memristors series hyperchaotic system with attractive coexistence and its circuit implementation

Cited by 6 publications

References 53 publications

Nonlinear coexistence phenomenon and FPGA implementation with the hybrid of memristive–memcapacitive hyperchaotic system

Nonlinear coexistence phenomenon and FPGA implementation with the hybrid of memristive–memcapacitive hyperchaotic system

Frontiers of fractals for complex systems: recent advances and future challenges

A novel 2D non-autonomous discrete memristor-based hyperchaotic map and its hardware implementation

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