Journal ArticleDOI
Generating hyperchaotic multi-wing attractor in a 4D memristive circuit
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TLDR
By replacing the resistor in the circuit of modified Lu system with flux-controlled memristor respectively, this new memristive system can exhibit a hyperchaotic multi-wing attractor, and the values of two positive Lyapunov exponents are relatively large.Abstract:
It is very important to generate hyperchaotic attractor with more complicated dynamics for theoretical research and practical application. The paper proposes a novel method to generate hyperchaotic multi-wing attractor. By replacing the resistor in the circuit of modified Lu system with flux-controlled memristor respectively, this new memristive system can exhibit a hyperchaotic multi-wing attractor, and the values of two positive Lyapunov exponents are relatively large. The dynamical behaviors of the proposed system are analyzed by phase portrait, Lyapunov exponents, Poincare maps, and bifurcation diagram. Moreover, the influences of memristor’s strength and position of replaced resistor are analyzed. To further probe the inherent features of the new memristive hyperchaotic system, the circuit implementation is carried out. The proposed method can be easily extended to the generalized Lorenz system family.read more
Citations
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A review for dynamics in neuron and neuronal network
TL;DR: In this review, the authors give careful comments for the presented neuron models and present some open problems in this field, nonlinear analysis could be effective to further discuss these problems and some results could be helpful to give possible guidance in the field of neurodynamics.
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.
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.
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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.
References
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Journal ArticleDOI
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.
Journal ArticleDOI
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.
Journal ArticleDOI
A new chaotic attractor coined
Jinhu Lu,Guanrong Chen +1 more
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
‘Memristive’ switches enable ‘stateful’ logic operations via material implication
Julien Borghetti,Gregory S. Snider,Philip J. Kuekes,Jianhua Yang,Duncan Stewart,Duncan Stewart,R. Stanley Williams +6 more
TL;DR: Bipolar voltage-actuated switches, a family of nonlinear dynamical memory devices, can execute material implication (IMP), which is a fundamental Boolean logic operation on two variables p and q such that pIMPq is equivalent to (NOTp)ORq.
Journal ArticleDOI
An equation for hyperchaos
Otto E. Rössler,Otto E. Rössler +1 more
TL;DR: A simple four-variable oscillator containing but one quadratic term produces a higher form of chaos with two (rather than one) directions of hyperbolic instability on the attractor as mentioned in this paper.