Memristor-based asymmetric extreme multistable hyperchaotic system with a line of equilibria, coexisting attractors, its implementation and nonlinear active-adaptive projective synchronisation

Singh, Piyush Pratap; Rai, Ankur; Roy, Binoy Krishna

doi:10.1140/epjp/s13360-022-03063-1

Eur. Phys. J. Plus

2022

DOI: 10.1140/epjp/s13360-022-03063-1

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Memristor-based asymmetric extreme multistable hyperchaotic system with a line of equilibria, coexisting attractors, its implementation and nonlinear active-adaptive projective synchronisation

Piyush Pratap Singh

Ankur Rai

Binoy Krishna Roy

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Cited by 10 publications

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“…A new image encryption algorithm based on DNA coding and the corresponding system was designed, whose security performance was verified with the help of simulation testing and comparison. Some of the papers focused on generating a memristive chaotic system with different equilibria and dynamics from simple autonomous polynomial systems [11][12][13]. Liu and Tu constructed no-equilibria memristive chaotic system with hidden attractors, coexisting attractors and offset boosting properties for different initial values and parameters by adding ideal flux-controlled memristor to five-terms system [11].…”

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“…Jia and Lai introduced a non-ideal memristor to Sprott A system to generate a new memristive system with three equilibria, coexisting chaotic attractors and amplitude control features [12]. Singh et al studied the hyperchaos, coexisting attractors, hardware circuit implementation and active-adaptive projective synchronization control of memristor-based hyperchaotic system with line equilibria and established some theoretical and numerical results [13].It is widely acknowledged that the memristor is a perfect device for mimicking biological nerve synapses and will play an essential role in the comprehensive and accurate realization of brain-like intelligence. The discovery of memristor opens the way for studying memristive neural networks.…”

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Memristive chaotic circuits and systems

2023

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Memristor has been widely regarded as the fourth fundamental circuit element after resistor, inductor and capacitor, which was theoretically postulated by Chua in 1971 [1] and physically realized by the HP Labs team in 2008 [2]. Since its discovery, it has sparked unprecedented broad interest due to its significant application values in many engineering fields, such as intelligent computing, non-volatile memory, image processing, and chaotic circuits. The unique nonlinear features of the memristor actively promote the generation of chaos and other interesting dynamical behaviors, thus often used in chaotic circuits and systems for improving their chaotic characteristics and extending their application value [3][4][5]. The emergence of memristor has brought new enthusiasm into the study of chaotic circuits and systems, but it also comes with new challenges. So we organize this special issue to collect some new ideas, methods, and results on memristor chaotic circuits and systems and to shed light on the future research directions of design, analysis, and application of memristor chaotic circuits and systems.This special issue accepted 13 representative papers. The corresponding research topics cover model construction, dynamical analysis, circuit implementation, control, and image encryption application of memristive chaotic circuits and systems. Some papers considered the design of multistable chaotic systems by introducing the memristor to the existing chaotic oscillator [6-10]. Authors in paper [6] proposed a three-dimensional memristive oscillator based on a simple damped Duffing oscillator and numerically showed its interesting dynamics of attractor growing with infinite coexisting attractors. Authors in paper [7] constructed a highorder memristive oscillation circuit from Van der Pol-Duffing oscillator and found its symmetric coexisting chaotic (or periodic) attractors by using the bifurcation diagrams and attraction basins. Authors in paper [8] established a new memristive jerk system with symmetric and asymmetric coexisting attractors. The dynamical analysis, multistability control and circuit implementation comprehensively demonstrate the proposed system. Authors in paper [9] proposed a second-order memristive emulator consisting of two diodes, two resistors and two capacitors, and applied it to jerk circuit for obtaining new memristive chaotic circuit. The simulation results illustrated the coexistence of bifurcations and attractors from different initial conditions. Authors in paper [10] introduced the voltage-controlled multistable memristor to the classic jerk system and achieved the purpose of constructing a new memristive chaotic system with line equilibria and extreme multistability. The PSpice circuit and microcontroller realizations of the system were studied. A new image encryption algorithm based on DNA coding and the corresponding system was designed, whose security performance was verified with the help of simulation testing and comparison. Some of the papers focused on generating a memristiv...

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Memristive chaotic circuits and systems

2023

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Qualitative analysis of a novel 5D chaotic system based on Bouali’s system and its application in private communication via adaptive control

Sirohi

2023

Bol. Soc. Mat. Mex.

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Global dynamics of diffusive Hindmarsh–Rose equations with memristors

You

2023

Nonlinear Analysis: Real World Applications

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Memristor-based asymmetric extreme multistable hyperchaotic system with a line of equilibria, coexisting attractors, its implementation and nonlinear active-adaptive projective synchronisation

Cited by 10 publications

References 55 publications

Memristive chaotic circuits and systems

Memristive chaotic circuits and systems

Qualitative analysis of a novel 5D chaotic system based on Bouali’s system and its application in private communication via adaptive control

Global dynamics of diffusive Hindmarsh–Rose equations with memristors

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