Study of phase synchronization in oscillators networks and applications to informa...
Study of a vibration absorber coupled with a non-ideal oscillator
Synchronization and control of network of chaotic oscillator with applications to ...
| Full text | |
| Author(s): |
Nijholt, Eddie
;
Pereira, Tiago
;
Queiroz, Fernando C.
;
Turaev, Dmitry
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Communications in Mathematical Physics; v. 401, n. 3, p. 42-pg., 2023-04-03. |
| Abstract | |
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. (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |
| FAPESP's process: | 20/01100-2 - Normal forms and centre manifold reductions for networks |
| Grantee: | Eeltje Cornelis Nijholt |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |