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arXiv · 1701.03149

Networks of planar Hamiltonian systems

David S. Tourigny
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Abstract

We introduce diffusively coupled networks where the dynamical system at each vertex is planar Hamiltonian. The problems we address are synchronisation and an analogue of diffusion-driven Turing instability for time-dependent homogeneous states. As a consequence of the underlying Hamiltonian structure there exist unusual behaviours compared with networks of coupled limit cycle oscillators or activator-inhibitor systems.

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David S. Tourigny. 2017-01-11. Networks of planar Hamiltonian systems. https://doi.org/10.1016/j.cnsns.2017.05.008

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