Journal ArticleDOI
A novel memristive time–delay chaotic system without equilibrium points
Viet-Thanh Pham,Sundarapandian Vaidyanathan,Christos Volos,Sajad Jafari,Nikolay Kuznetsov,Thang Manh Hoang +5 more
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TLDR
A novel time–delay system with a presence of memristive device is proposed in this work and can generate chaotic attractors although it possesses no equilibrium points.Abstract:
Memristor and time–delay are potential candidates for constructing new systems with complex dynamics and special features. A novel time–delay system with a presence of memristive device is proposed in this work. It is worth noting that this memristive time–delay system can generate chaotic attractors although it possesses no equilibrium points. In addition, a circuitry implementation of such time–delay system has been introduced to show its feasibility.read more
Citations
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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.
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Megastability: Coexistence of a countable infinity of nested attractors in a periodically-forced oscillator with spatially-periodic damping
TL;DR: In this article, a periodically-forced oscillator with spatially-periodic damping is described, which has an infinite number of coexisting nested attractors, including limit cycles, attracting tori, and strange attractors.
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Simple chaotic 3D flows with surfaces of equilibria
TL;DR: In this paper, the authors used a systematic computer search to find chaotic flows with surfaces of equilibria, which can provide a good reference for building systems with attractors that are protected from external influences.
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Memristor Circuits: Flux—Charge Analysis Method
Fernando Corinto,Mauro Forti +1 more
TL;DR: The manuscript introduces a comprehensive analysis method of memristor circuits in the flux-charge (φ, q)-domain that relies on Kirchhoff Flux and Charge Laws and constitutive relations of circuit elements in terms of incremental flux and charge.
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Memristor Circuits: Bifurcations without Parameters
Fernando Corinto,Mauro Forti +1 more
TL;DR: This paper aims to show that the Flux–Charge Analysis Method is effective to analyze nonlinear dynamics and bifurcations in memristor circuits with more complex dynamics including Hopf bifURcations (originating persistent oscillations) and period–doubling cascades (leading to chaotic behavior).
References
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Journal ArticleDOI
Deterministic nonperiodic flow
TL;DR: In this paper, it was shown that nonperiodic solutions are ordinarily unstable with respect to small modifications, so that slightly differing initial states can evolve into considerably different states, and systems with bounded solutions are shown to possess bounded numerical solutions.
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The missing memristor found
TL;DR: It is shown, using a simple analytical example, that memristance arises naturally in nanoscale systems in which solid-state electronic and ionic transport are coupled under an external bias voltage.
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Determining Lyapunov exponents from a time series
TL;DR: In this article, the authors present the first algorithms that allow the estimation of non-negative Lyapunov exponents from an experimental time series, which provide a qualitative and quantitative characterization of dynamical behavior.
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Memristor-The missing circuit element
TL;DR: In this article, the memristor is introduced as the fourth basic circuit element and an electromagnetic field interpretation of this relationship in terms of a quasi-static expansion of Maxwell's equations is presented.
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An equation for continuous chaos
TL;DR: A prototype equation to the Lorenz model of turbulence contains just one (second-order) nonlinearity in one variable as mentioned in this paper, which allows for a "folded" Poincare map (horseshoe map).