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A new chaotic attractor generated from a 3-d autonomous system with one equilibrium and its fractional order form
Kishore Bingi,Susy Thomas +1 more
- Vol. 5, Iss: 2, pp 51-59
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TLDR
In this article, a novel three-dimensional autonomous chaotic system is proposed, which contains four variational parameters, a cubic nonlinearity term (i.e., product of all the three states) and exhibits a chaotic attractor in numerical simulations.Abstract:
In this paper, a novel three-dimensional autonomous chaotic system is proposed. The proposed system contains four variational parameters, a cubic nonlinearity term (i.e. product of all the three states) and exhibits a chaotic attractor in numerical simulations. The basic dynamic properties of the system are analyzed by means of equilibrium points, Eigen values and Lyapunov exponents. Finally, the commensurate and non-commensurate fractional order form of the system which exhibits chaotic attractor is also analyzed.read more
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Cellular neural networks: theory
Leon O. Chua,L. Yang +1 more
TL;DR: In this article, a class of information processing systems called cellular neural networks (CNNs) are proposed, which consist of a massive aggregate of regularly spaced circuit clones, called cells, which communicate with each other directly through their nearest neighbors.
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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).
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Yet another chaotic attractor
Guanrong Chen,Tetsushi Ueta +1 more
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.
Book
The Duffing Equation: Nonlinear Oscillators and their Behaviour
Ivana Kovacic,Michael J. Brennan +1 more
TL;DR: In this article, the authors present a survey of the literature on nonlinear dynamics of pendulum and nonlinear oscillators, including a brief biography of Georg Duffing, and some of the most relevant works.