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- W2207896655 abstract "The structure of the differential or difference equations used to model a complex real-life system should reflect some of the underlying symmetries of the system. Characterising and exploiting this structure can lead to better prediction and explanation of the motion. For example, a well-studied structure is that found in Hamiltonian or conservative dynamical systems. In this paper, we survey our work on dynamical systems with another type of structure, namely a (generalised) time-reversal symmetry. We explain some of the dynamical consequences and structure arising from this property. We explore the question of how systems with this (generalized) time-reversal symmetry are similar to, and how they differ from, Hamiltonian dynamical systems. We pay particular attention to low-dimensional (2D and 3D) systems and use specific examples to illustrate our points." @default.
- W2207896655 created "2016-06-24" @default.
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- W2207896655 date "1997-01-01" @default.
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- W2207896655 title "Some Characterisations of Low-dimensional Dynamical Systems with Time-reversal Symmetry" @default.
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- W2207896655 doi "https://doi.org/10.1007/978-1-4612-2446-4_7" @default.
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