Journal ArticleDOI
Linearization of the Lorenz system
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TLDR
In this article, a piecewise linearized version of the Lorenz system is proposed, which has an independent total amplitude control parameter, and a chaotic circuit with a single amplitude controller is then implemented using a new switch element, producing a chaotic oscillation that agrees with the numerical calculation for the piece-wise linear diffusionless system.About:
This article is published in Physics Letters A.The article was published on 2015-05-08. It has received 64 citations till now. The article focuses on the topics: Lorenz system & Piecewise.read more
Citations
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Journal ArticleDOI
Variable-boostable chaotic flows
TL;DR: A new regime of chaotic flows is explored in which one of the variables has the freedom of offset boosting, and therefore the variable can switch between a bipolar signal and a unipolar signal according to the constant.
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Constructing chaotic systems with conditional symmetry
TL;DR: In this paper, a general method for constructing asymmetric dynamical systems is proposed in which the asymmetric system restores its original equation when some of the variables are subjected to a symmetric coordinate transformation combined with a special offset boosting.
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Constructing Chaotic Systems with Total Amplitude Control
TL;DR: The method is applied to the Sprott B system as an example to show its flexibility and generality and Electrical circuit implementation shows the convenience of amplitude control, and the resulting oscillations agree well with results from simulation.
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Simple Chaotic Flow with Circle and Square Equilibrium
TL;DR: A new class of chaotic flow with a square-shaped equilibrium is presented, belonging to a newly introduced category of chaotic systems with hidden attractors that are interesting and important in engineering applications.
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A Memristive Chaotic Oscillator With Increasing Amplitude and Frequency
TL;DR: A chaotic oscillator utilizing a flux-controlled memristor to produce a signal that grows in amplitude and frequency over time is introduced and a new regime of homogenous multistability was found.
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.
Book
Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers
TL;DR: The phenomenology of chaos Towards a theory of nonlinear dynamics and chaos Quantifying chaos Special topics Appendices Index
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A new class of chaotic circuit
TL;DR: In this paper, a chaotic electrical circuit using only resistors, capacitors, diodes, and inverting operational amplifiers is proposed, which is a new class of chaotic electrical circuits.
Book
Elegant Chaos: Algebraically Simple Chaotic Flows
TL;DR: In this paper, the authors describe periodic forced and intermittently forced systems, dissipative systems, and low-dimensional systems, including infinite-dimensional (D 3) and chaotic electrical circuits.
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Un attracteur étrange (?) du type attracteur de hénon
TL;DR: In this article, Henon and Pomeau have defined a mapping from the plane to itself, where the points obtained by iteration of the mapping either diverges or converges towards a strange attractor which appears to be the product of a one-dimensional manifold by a Cantor set.