Projects per year
Abstract
The process of pattern formation for a multispecies model anchored on a time varying network is studied. A nonhomogeneous perturbation superposed to an homogeneous stable fixed point can be amplified following the Turing mechanism of instability, solely instigated by the network dynamics. By properly tuning the frequency of the imposed network evolution, one can make the examined system behave as its averaged counterpart, over a finite time window. This is the key observation to derive a closed analytical prediction for the onset of the instability in the time dependent framework. Continuously and piecewise constant periodic time varying networks are analyzed, setting the framework for the proposed approach. The extension to nonperiodic settings is also discussed.
Original language | English |
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Article number | 148301 |
Pages (from-to) | 148301-1 148301-5 |
Number of pages | 5 |
Journal | Physical review letters |
Volume | 119 |
Issue number | 14 |
DOIs | |
Publication status | Published - 4 Oct 2017 |
Keywords
- nonlinear dynamics
- time varying networks
- pattern formation
- Turing patterns
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Projects
- 1 Finished
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PAI n°P7/19 - DYSCO: Dynamical systems, control and optimization (DYSCO)
WINKIN, J., Blondel, V., Vandewalle, J., Pintelon, R., Sepulchre, R., Vande Wouwer, A. & SARTENAER, A.
1/04/12 → 30/09/17
Project: Research
Activities
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SIAM Conference Dynamical Systems
Timoteo Carletti (Participant)
19 May 2019 → 23 May 2019Activity: Participating in or organising an event types › Participation in workshop, seminar, course
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SIAM Conference Dynamical Systems
Timoteo Carletti (Speaker)
19 May 2019Activity: Participating in or organising an event types › Participation in workshop, seminar, course
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Turing patterns on time varying networks
Timoteo Carletti (Speaker)
18 Jul 2018Activity: Talk or presentation types › Invited talk