Chaotic Behavior in Diffusively Coupled Systems


  • Fernando C. de Queiroz
  • Tiago Pereira
  • Eddie Nijholt
  • Dmitry Turaev



Versatile Networks, Chaos, Diffusive Coupling, Dynamical Systems


We study emergent oscillatory behavior in networks of diffusively coupled nonlinear ordinary differential equations. Starting from a situation where each isolated node possesses a globally attracting equilibrium point, we give, for an arbitrary network configuration, general conditions for the existence of the diffusive coupling of a homogeneous strength which makes the network dynamics chaotic. The method is based on the theory of local bifurcations we develop for diffusively coupled networks. We, in particular, introduce the class of the so-called versatile network configurations and prove that the Taylor coefficients of the reduction to the center manifold for any versatile network can take any given value.


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Biografia do Autor

Fernando C. de Queiroz

ICMC - USP, São Carlos, SP

Tiago Pereira

ICMC - USP, São Carlos, SP

Eddie Nijholt

Imperial College London, London, UK

Dmitry Turaev

Imperial College London, London, UK


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