Groups and nonlinear dynamical systems. Dynamics on the \(SU (2)\) group

DOI10.1016/S0167-2789(96)00137-6zbMath0890.58073arXivchao-dyn/9801019OpenAlexW2080476031MaRDI QIDQ2564797

Krzysztof Kowalski, Jakub Rembieliński

Publication date: 3 February 1997

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9801019

zbMATH Keywords

periodic solutionsnonlinear dynamical systemNewton-like equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Applications of Lie groups to the sciences; explicit representations (22E70) Dynamics induced by flows and semiflows (37C10) Nonlinear dynamics in mechanics (70K99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (2)

Groups and nonlinear dynamical systems: chaotic dynamics on the \(\text{SU}(2)\times\text{SU}(2)\) group ⋮ Quantum kicked top: Lie algebraic approach

Cites Work

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• Groups and dynamical systems. Discrete time dynamics on the E(2) group
• Über Spitzen diskontinuierlicher Gruppen von lineargebrochenen Transformationen
• On discontinuous groups operating on the product of the upper half planes
• THREE-DIMENSIONAL ROTATIONS AND DISCRETE-TIME DYNAMICAL SYSTEMS: DISCRETE SYMMETRIES IN CHAOS-ORDER TRANSITIONS

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