Journal ArticleDOI
Extreme multistability in a memristive circuit
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TLDR
In this article, a memristive Chua's circuit is reconsidered to exhibit its extreme multistability and the coexistence of infinitely many attractors related to memristor initial states is revealed by numerical simulations and circuit simulations.Abstract:
A memristive Chua's circuit regarded as a paradigm is reconsidered to exhibit its extreme multistability in this Letter. Memristor initial state-dependent dynamics is analysed and the coexistence of infinitely many attractors related to memristor initial states is revealed by numerical simulations and circuit simulations. The dynamical behaviour just reflects the emergence of extreme multistability in the memristive circuit.read more
Citations
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Journal ArticleDOI
Hidden extreme multistability in memristive hyperchaotic system
TL;DR: By utilizing a memristor to substitute a coupling resistor in the realization circuit of a three-dimensional chaotic system having one saddle and two stable node-foci, a novel memristive hyperchaotic system with coexisting infinitely many hidden attractors is presented in this paper.
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Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria
TL;DR: By introducing an ideal and active flux-controlled memristor into an existing hypogenetic chaotic jerk system, an interesting Memristor-based chaotic system with hypogenetics jerk equation and circuit forms is proposed, which exhibits the extreme multistability phenomenon of coexisting infinitely many attractors.
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Two-memristor-based Chua’s hyperchaotic circuit with plane equilibrium and its extreme multistability
TL;DR: In this article, a two-memristor-based Chua's hyper-chaotic circuit is presented, which is synthesized from an active band pass filter-based circuit through replacing a nonlinear resistor and a linear resistor with two different memristors.
Journal ArticleDOI
Coexisting infinitely many attractors in active band-pass filter-based memristive circuit
TL;DR: In this paper, an inductor-free memristive circuit is implemented by linearly coupling an active band-pass filter (BPF) with a parallel memristor and capacitor filter, which exhibits the dynamical behaviors of point, period, chaos, and period doubling bifurcation route.
Journal ArticleDOI
Antimonotonicity, chaos and multiple attractors in a novel autonomous memristor-based jerk circuit
TL;DR: In this paper, a memristor-based oscillator derived from the autonomous jerk circuit is proposed, where a first-order memristive diode bridge replaces the semiconductor diode of the original circuit.
References
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Journal ArticleDOI
The Fourth Element
TL;DR: In this article, the axiomatic definition of memristor elements via a lookup table dubbed an A-pad, of admissible (v; i) signals measured via Gedanken probing circuits is clarified.
Journal ArticleDOI
Periodicity, chaos, and multiple attractors in a memristor-based Shinriki's circuit.
TL;DR: A novel memristor-based oscillator, obtained from Shinriki's circuit by substituting the nonlinear positive conductance with a first order memristive diode bridge, is introduced and experiences the unusual and striking feature of multiple attractors over a broad range of circuit parameters.
Journal ArticleDOI
Extreme multistability: Attractor manipulation and robustness
TL;DR: In this article, a general design of coupling that leads to partial synchronization is proposed, which may be a partial complete synchronization or partial antisynchronization and even a mixed state of complete synchronization and antisynchronisation in two coupled systems and reveal the emergence of extreme multistability.
Journal ArticleDOI
Experimental observation of extreme multistability in an electronic system of two coupled Rössler oscillators.
Mitesh S. Patel,Unnati Patel,Abhijit Sen,Gautam C. Sethia,Chittaranjan Hens,Syamal K. Dana,Ulrike Feudel,Kenneth Showalter,Calistus N. Ngonghala,R. E. Amritkar +9 more
TL;DR: This work constructs and couple two analog circuits based on a modified coupled Rössler system and demonstrates the occurrence of extreme multistability through a controlled switching to different attractor states purely through a change in initial conditions for a fixed set of system parameters.
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Mapping equivalent approach to analysis and realization of memristor-based dynamical circuit
TL;DR: A novel mapping equivalent approach is proposed in this paper, which can be used for analyzing and realizing a memristor-based dynamical circuit equivalently by a nonlinear dynamical Circuit with the same topologies and circuit parameters.