LIE–TROTTER FORMULA AND POISSON DYNAMICS

DOI10.1142/S0218127499000390zbMath0970.37063OpenAlexW2005178590MaRDI QIDQ4941668

Mircea Puta

Publication date: 21 October 2001

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127499000390

zbMATH Keywords

Euler equationMaxwell-Bloch equationsLie-Trotter formulaHamilton-Poisson systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Motion of a rigid body with a fixed point (70E17)

Related Items (14)

Some remarks on the Clebsch's system ⋮ Integrability and geometric prequantization of the Maxwell-Bloch equations ⋮ Splitting integrators for stochastic Lie–Poisson systems ⋮ An underactuated drift-free left invariant control system on a specific Lie group ⋮ Bi-Hamiltonian Structures of 3D Chaotic Dynamical Systems ⋮ GEOMETRICAL AND DYNAMICAL ASPECTS IN THE THEORY OF RABINOVICH SYSTEM ⋮ Some remarks on the dynamics of the underwater vehicle ⋮ A Hamilton-Poisson model of the Chen-Lee system ⋮ On a deformed version of the two-disk dynamo system. ⋮ Control and stability in the kinematic model of an automobile with \(n-3\) trailers. ⋮ The Lie-Trotter integrator in the dynamics of a mechanical system ⋮ SOME REMARKS ON THE DYNAMICS AND GEOMETRY OF AN UNDERWATER VEHICLE ⋮ Some new remarks about the dynamics of an automobile with two trailers ⋮ STABILITY, PERIODIC SOLUTIONS AND NUMERICAL INTEGRATION IN THE KOWALEVSKI TOP DYNAMICS

Cites Work

• On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
• Explicit Lie-Poisson integration and the Euler equations

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