Time-reversible Hamiltonian systems
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It is shown that transfer matrices satisfying G ( −s ) = G ( s ) = G T T( −s ) have a minimal Hamiltonian realization with an energy which is the sum of potential and kinetic energy, yielding the time reversibility of the equations. Furthermore connections are made with an associated gradient system. The theory is applied to electrical networks, resulting in a characterization of LCT networks.
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