Networks of planar Hamiltonian systems

作者:Tourigny David S
来源:Communications in Nonlinear Science & Numerical Simulation, 2017, 53: 263-277.
DOI:10.1016/j.cnsns.2017.05.008

摘要

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.

  • 出版日期2017-12

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