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Journal ArticleDOI

Hidden extreme multistability in memristive hyperchaotic system

Bocheng Bao, +4 more
- 01 Jan 2017 - 
- Vol. 94, pp 102-111
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TLDR
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.
Abstract
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. The memristive system does not display any equilibrium, but can exhibit hyperchaotic, chaotic, and periodic dynamics as well as transient hyperchaos. In particular, the phenomenon of extreme multistability with hidden oscillation is revealed and the coexistence of infinitely many hidden attractors is observed. The results illustrate that the long term dynamical behavior closely depends on the memristor initial condition thus leading to the emergence of hidden extreme multistability in the memristive hyperchaotic system. Additionally, hardware experiments and PSIM circuit simulations are performed to verify numerical simulations.

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Citations
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The Fourth Element.

Leon O. Chua
TL;DR: This tutorial clarifies the axiomatic definition of (v(α); i(β)) circuit elements via a lookup table dubbed an A-pad, of admissible (v; i) signals measured via Gedanken probing circuits.
Journal ArticleDOI

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.
Journal ArticleDOI

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

Hidden Bursting Firings and Bifurcation Mechanisms in Memristive Neuron Model With Threshold Electromagnetic Induction

TL;DR: A threshold flux-controlled memristor is presented and its frequency-dependent pinched hysteresis loops are examined, validating the physical mechanism of biological neuron and the reliability of electronic neuron.
Journal ArticleDOI

Autonomous memristor chaotic systems of infinite chaotic attractors and circuitry realization

TL;DR: Three-dimensional, four- dimensional, and five-dimensional memristor chaotic systems are given in standard form with sine functions and tangent functions to prove the effectiveness of the method given and an analog circuit of three-dimensional memory chaotic system is designed and implemented to prove its feasibility.
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.
Journal ArticleDOI

Yet another chaotic attractor

TL;DR: In this paper, the authors reported the finding of a chaotic at tractor in a simple three-dimensional autonomous system, which resembles some familiar features from both the Lorenz and Rossler at tractors.
Journal ArticleDOI

A new chaotic attractor coined

TL;DR: This letter reports the finding of a new chaotic attractor in a simple three-dimensional autonomous system, which connects the Lorenz attractor and Chen's attractsor and represents the transition from one to the other.
Journal ArticleDOI

Resistance Switching Memories Are Memristors

TL;DR: The memristor is a 2-terminal nonvolatile memory device that exhibits a pinched hysteresis loop confined to the first and third quadrants of the v-i plane whose contour shape in general changes with both the amplitude and frequency of any periodic sine-wave-like input voltage source, or current source as mentioned in this paper.

Resistance Switching Memories are Memristors.

TL;DR: The goal of this tutorial is to introduce some fundamental circuit-theoretic concepts and properties of the memristor that are relevant to the analysis and design of non-volatile nano memories where binary bits are stored as resistances manifested by the Memristor’s continuum of equilibrium states.
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