The twisted top

DOI10.1016/S0375-9601(01)00253-5zbMath1008.70002arXivnlin/0101042OpenAlexW2088602451WikidataQ59426021 ScholiaQ59426021MaRDI QIDQ5936610

No author found.

Publication date: 2 July 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0101042

zbMATH Keywords

chaotic motionlargest Lyapunov exponentEuler anglescocycleintegrable systemKovalevskaya topLagrange topLie-Poisson brackettwisted top

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Chemical structure in solid mechanics (74E40) Motion of a rigid body with a fixed point (70E17)

Related Items (7)

Controllability problems in the charged top dynamics ⋮ Rattleback: a model of how geometric singularity induces dynamic chirality ⋮ A Stokesian viscoelastic flow: transition to oscillations and mixing ⋮ On Extensions, Lie-Poisson Systems, and Dissipations ⋮ Chaotic stirring by a mesoscale surface-ocean flow ⋮ ``Universal Lie algebra extensions and their Casimir invariants via commutative structures ⋮ Clebsch canonization of Lie-Poisson systems

Cites Work

• Infinite-dimensional algebras, sine brackets, and SU(\(\infty)\)
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• Finite time Lyapunov exponent and advection-diffusion equation
• Classification and Casimir invariants of Lie-Poisson brackets
• Higher-dimensional generalisations of the Euler top equations
• General solution of \(7\)D octonionic top equation.
• Finite-mode analogs of 2D ideal hydrodynamics: Coadjoint orbits and local canonical structure
• Hamiltonian description of the ideal fluid
• Euler-Poisson equations on Lie algebras and the N -dimensional heavy rigid body
• THE STRUCTURES OF HAMILTONIAN MECHANICS
• ACTION INTEGRALS AND ENERGY SURFACES OF THE KOVALEVSKAYA TOP
• Ergodic theory of chaos and strange attractors
• On integrable deformations of the spherical top
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