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Groups and nonlinear dynamical systems: chaotic dynamics on the \(\text{SU}(2)\times\text{SU}(2)\) group

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Publication:1963181
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DOI10.1016/S0960-0779(97)00113-6zbMath0933.37039arXivchao-dyn/9801020OpenAlexW3106008281MaRDI QIDQ1963181

Krzysztof Kowalski, Jakub Rembieliński

Publication date: 24 January 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9801020


zbMATH Keywords

Lie algebrachaotic behaviourCasimir operatorattracting sets


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of attractors and their bifurcations (37G35)




Cites Work

  • Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\)
  • Detecting the symmetry of attractors
  • Note concerning our paper On the nature of turbulence. Commun. math. Phys. 20, 167-192 (1971)
  • Groups and nonlinear dynamical systems. Dynamics on the \(SU (2)\) group
  • Instant chaos
  • Hopf bifurcation and the Hopf fibration
  • Unnamed Item


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