Symplectic structure of discrete Hamiltonian systems

zbMath1005.37022MaRDI QIDQ1598434

Yuming Shi

Publication date: 27 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

phase flowdiscrete Hamiltonian systemsymplectic transformations

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (5)

Discrete variational integrators and optimal control theory ⋮ Weyl--Titchmarsh theory for a class of discrete linear Hamiltonian systems ⋮ Sturmian and spectral theory for discrete symplectic systems ⋮ Invariance of deficiency indices of second-order symmetric linear difference equations under perturbations ⋮ LIMIT POINT, STRONG LIMIT POINT AND DIRICHLET CONDITIONS FOR DISCRETE HAMILTONIAN SYSTEMS

Cites Work

• Equivalence of discrete Euler equations and discrete Hamiltonian systems
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
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