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Linearized structures of lagrangian, hamiltonian, and quasi-hamiltonian systems
Physics Letters A, 1986Abstract Linearized structures are found for general lagrangian, hamiltonian, and quasi-hamiltonian systems, as well as for Lax and zero-curvature representations.
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Linear Versus Nonlinear Stability in Hamiltonian Systems
2017The stability of periodic solutions of time-independent Hamiltonian systems is often studied by linearization techniques. In the case of two degrees of freedom near stable equilibrium this is a correct procedure, in the case of three or more degrees of freedom we present some counterexamples.
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SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems
Neural Networks, 2020Pengzhan Jin, Zhen Zhang, Aiqing Zhu
exaly
Stability and stabilization of infinite-dimensional linear port-Hamiltonian systems
Evolution Equations and Control Theory, 2014Björn Augner, Birgit Jacob
exaly
Linear Hamiltonian systems with absolutely continuous dynamics
Nonlinear Analysis: Theory, Methods & Applications, 2001Novo, Sylvia, Núñez, Carmen
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On symplectic transformations of linear Hamiltonian differential systems without normality
Applied Mathematics Letters, 2017Julia Elyseeva
exaly