Journal ArticleDOI
A new 5D Hamiltonian conservative hyperchaotic system with four center type equilibrium points, wide range and coexisting hyperchaotic orbits
Zefeng Zhang,Lilian Huang +1 more
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This article is published in Nonlinear Dynamics.The article was published on 2022-01-18. It has received 12 citations till now. The article focuses on the topics: Lyapunov exponent & Equilibrium point.read more
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A simple Hamiltonian conservative chaotic system with extreme multistability and offset-boosting
Journal ArticleDOI
Analysis and circuit implementation of a non-equilibrium fractional-order chaotic system with hidden multistability and special offset-boosting.
TL;DR: In this article , a new fractional-order chaotic system is constructed based on the Sprott system, which has a special offset-boosting phenomenon, where only a boosting-controller makes the system undergo a multi-directional offset, and the shape of the generated hidden attractor changes.
Journal ArticleDOI
A class of 5D Hamiltonian conservative hyperchaotic systems with symmetry and multistability
TL;DR: In this paper , the authors proposed a class of five-dimensional (5D) conservative hyperchaotic systems by constructing a generalized Hamiltonian conservative system, which can have different types of coordinate-transformation and time-reversal symmetries.
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A hyperchaos generated from Rabinovich system
Junhong Li,Ning Cui +1 more
TL;DR: In this article , a 4D hyperchaotic Rabinovich system with a linear controller is presented, which is based on theoretical analysis and numerical simulations, the rich dynamical phenomena such as boundedness, dissipativity and invariance, equilibria and their stability, chaos and hyperchaos are studied.
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A simple butterfly-shaped chaotic system
References
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Journal ArticleDOI
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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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.
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Some simple chaotic flows.
TL;DR: A systematic examination of general three-dimensional autonomous ODE with quadratic nonlinearities has uncovered 19 distinct simple examples of chaotic flows with either five terms and two non-linearities or six terms and one nonlinearity as mentioned in this paper.
Book
Nonlinear Dynamics: Integrability, Chaos and Patterns
TL;DR: In this article, nonlinear dynamics integrability chaos and patterns 1st edition PDF is available at the online library of the University of South Carolina, United States of America (USAA).
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Dynamical analysis of a new chaotic attractor
TL;DR: Dynamical behaviors of a new chaotic attractor is investigated and the transition between the Lorenz attractor and Chen's attractor through the new system is explored.