n-dimensional chaotic attractors with crystallographic symmetry

Dumont JP.; Jones KC.; Reiter CA.; Vislocky LM.; Heiss FJ.

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n-dimensional chaotic attractors with crystallographic symmetry

机译：具有晶体对称性的n维混沌吸引子

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Chaotic attractors with planar symmetries have been the focus of much recent study. We establish a general method to create attractors with crystallographic symmetry in R-n. Using this technique we provide a uniform approach to creating chaotic attractors in R-2 and generate provocative illustrations in R-3 with crystallographic symmetry. (C) 2001 Elsevier Science Ltd. All rights reserved. [References: 25]

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《Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science》 |2001年第4期|共24页
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Dumont JP.; Jones KC.; Reiter CA.; Vislocky LM.; Heiss FJ.;
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中图分类微分方程、积分方程;
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1. n-dimensional chaotic attractors with crystallographic symmetry [J] . Dumont JP., Jones KC., Reiter CA., Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2001,第4期

机译：具有晶体对称性的n维混沌吸引子
2. A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors [J] . Gervais Dolvis Leutcho, Jacques Kengne Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2018,第期

机译：具有平稳可调节的对称性和非线性的独特混乱捕捉系统：混沌，偏移升压，抗动调谐，以及共存多个吸引子
3. A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors [J] . Gervais Dolvis Leutcho, Jacques Kengne Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2018,第期

机译：具有平稳可调节的对称性和非线性的独特混乱捕捉系统：混沌，偏移升压，抗动调谐，以及共存多个吸引子
4. Chaotic attractors with symmetries of the triangle groups [C] . Rui-song Ye . 2005

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5. Applications of Asymptotic Methods: Analyzing Mathematical Models in Neuroscience and Describing Fast Dynamics of a Trajectory in the Vicinity of a Chaotic Attractor [D] . Shchepakin, Denis Mikhailovich. 2019

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6. Generating Multidirectional Variable Hidden Attractors via Newly Commensurate and Incommensurate Non-Equilibrium Fractional-Order Chaotic Systems [O] . Nadjette Debbouche, Shaher Momani, Adel Ouannas, 2021

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7. Systematic template extraction from chaotic attractors: I. Genus-one attractors with an inversion symmetry [O] . Martin Rosalie, Christophe Letellier 2013

机译：来自混沌吸引子的系统模板提取：I. Genus-一种具有反转对称的吸引子

n-dimensional chaotic attractors with crystallographic symmetry

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