Projects per year
Abstract
We hereby develop the theory of Turing instability for reaction-diffusion systems defined on complex networks assuming finite propagation. Extending to networked systems the framework introduced by Cattaneo in the 40's, we remove the unphysical assumption of infinite propagation velocity holding for reaction-diffusion systems, thus allowing to propose a novel view on the fine tuning issue and on existing experiments. We analytically prove that Turing instability, stationary or wave-like, emerges for a much broader set of conditions, e.g., once the activator diffuses faster than the inhibitor or even in the case of inhibitor-inhibitor systems, overcoming thus the classical Turing framework. Analytical results are compared to direct simulations made on the FitzHugh-Nagumo model, extended to the relativistic reaction-diffusion framework with a complex network as substrate for the dynamics.
Original language | English |
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Article number | 045004 |
Journal | Journal of Physics: Complexity |
Volume | 2 |
Issue number | 4 |
Early online date | 5 Oct 2021 |
DOIs | |
Publication status | Published - 26 Oct 2021 |
Keywords
- Turing patterns
- Relativistic setting
- finite propagation
- Cattaneo Equation
- Telegraph equation
- complex network
- Turing instability
- Turing waves
- Complex networks
- Relativistic heat equation
- Spatio-temporal patterns
- Hyperbolic reaction-diffusion systems
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Dive into the research topics of 'Finite propagation enhances Turing patterns in reaction-diffusion networked systems'. Together they form a unique fingerprint.Projects
- 1 Finished
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Multiple time scale dynamical systems, ‘canard’-phenomena and bifurcation delays in networked systems
1/01/20 → 31/12/21
Project: Research
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A journey in the zoo of Turing patterns
Timoteo Carletti (Invited speaker)
23 Jan 2024Activity: Talk or presentation types › Invited talk
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Conference Complex Systems 2021: CCS2021
Timoteo Carletti (Speaker)
26 Oct 2021Activity: Participating in or organising an event types › Participation in conference
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Conference Complex Systems 2021: CCS2021
Timoteo Carletti (Participant)
25 Oct 2021 → 29 Oct 2021Activity: Participating in or organising an event types › Participation in conference