Symplectic integration of boundary value problems
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DOI: 10.1007/s11075-018-0599-7
Abstract: Symplectic integrators can be excellent for Hamiltonian initial value problems. Reasons for this include their preservation of invariant sets like tori, good energy behaviour, nonexistence of attractors, and good behaviour of statistical properties. These all… read more here.
Keywords: symplectic integration; value; boundary value; integration boundary ... See more keywords
Symplectic Integration Schemes for Systems With Nonlinear Dissipation
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2023.3235908
Abstract: In previous work a variational integration scheme for mechanical systems containing linear dissipation was developed (Limebeer et al., 2020). The key idea is to use a transmission line as the solution to a power-balancing control… read more here.
Keywords: nonlinear dissipation; symplectic integration; integration schemes; integration ... See more keywords