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Symmetry and Attractors

2018
In this chapter, symmetry results in the half-space and in \(\mathbb {R}^N\) will be used towards the characterization of the asymptotic profiles of solutions in the quarter-space and in the half-space, respectively. As we have seen in the previous Chaps.
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Some properties of attractors and quasi-attractors

Chaos, Solitons & Fractals, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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CHEN'S ATTRACTOR EXISTS

International Journal of Bifurcation and Chaos, 2004
By applying the undetermined coefficient method, this paper finds homoclinic and heteroclinic orbits in the Chen system. It analytically demonstrates that the Chen system has one heteroclinic orbit of Ši'lnikov type that connects two nontrivial singular points.
Tianshou Zhou, Yun Tang, Guanrong Chen
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ATTRACTORS IN CONSERVATIVE SYSTEMS

International Journal of Bifurcation and Chaos, 2006
Normally, conservative systems do not have attractors. However, in a system with escapes, the infinity acts as an attractor. Furthermore, attractors may appear as singularities at a finite distance. We consider the basins of escape in a particular Hamiltonian system with escapes and the rates of escape for various values of the parameters.
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New 4D chaotic system with hidden attractors and self-excited attractors and its application in image encryption based on RNG

Physica A: Statistical Mechanics and Its Applications, 2022
Li-Hua Gong, Nanrun Zhou
exaly  

Generating novel multi-scroll chaotic attractors via fractal transformation

Nonlinear Dynamics, 2022
Dengwei Yan, Shukai Duan, Lidan Wang
exaly  

Various patterns of coexisting attractors in a hyperchaotic map

Nonlinear Dynamics, 2023
Tengfei Lei, Chunbiao Li, Yongxin Li
exaly  

Strange attractors

The Mathematical Intelligencer, 1980
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