Projects per year
Abstract
The theory of patterns formation for a reaction-diffusion system defined on a multiplex is developed by means of a perturbative approach. The interlayer diffusion constants act as a small parameter in the expansion and the unperturbed state coincides with the limiting setting where the multiplex layers are decoupled. The interaction between adjacent layers can seed the instability of a homogeneous fixed point, yielding self-organized patterns which are instead impeded in the limit of decoupled layers. Patterns on individual layers can also fade away due to cross-talking between layers. Analytical results are compared to direct simulations.
Original language | English |
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Article number | 042814 |
Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
Volume | 90 |
Issue number | 4 |
DOIs | |
Publication status | Published - 27 Oct 2014 |
Keywords
- turing patter
- networks
- multiplex networks
- reaction-diffusion
- non linear dynamics
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Dive into the research topics of 'Turing patterns in multiplex networks'. Together they form a unique fingerprint.Projects
- 2 Active
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Dynamical systems analysis, modeling and simulation
Carletti, T., Fuzfa, A. & Lemaitre, A.
3/10/11 → …
Project: Research
Activities
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Control of self-organized patterns in complex networks
Timoteo Carletti (Speaker)
18 Jul 2017Activity: Participating in or organising an event types › Participation in workshop, seminar, course
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Control of self-organized patterns in complex networks
Timoteo Carletti (Organiser)
18 Jul 2017Activity: Participating in or organising an event types › Participation in workshop, seminar, course
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IAP VIII / 19 DYSCO - Dynamical SYStems Control and Optimization DYSCO Study day
Timoteo Carletti (Speaker)
1 Dec 2016Activity: Participating in or organising an event types › Participation to a Symposium, a study Day