Stability and robustness


This research pole will deal with the concept of stability and robustness in various fields of research, aiming to identify its key structural determinants. In ecology as in financial networks, catastrophic changes in the overall state of a system can ultimately derive from how it is organised — from feedback mechanisms within it, and from linkages that are latent and often unrecognised. The change may be initiated by external factors, but is more usually triggered endogenously.

Keywords: Dynamical systems, Self-organized patterns, Emergent phenomena

Contact: Timoteo Carletti and Joseph Winkin

Relevant references:

J. Petit, T. Carletti, M. Asllani and D. Fanelli, Delay induced Turing-like waves for one species reaction–diffusion model on a network, EPL 111 (5) (2015)

D.M. Busiello, G. Planchon, M. Asllani, T. Carletti and D. Fanelli, Pattern formation for reactive species undergoing anisotropic diffusion, EPJB 88 (2015)

Asllani, D.M. Busiello, T. Carletti , D. Fanelli and G. Planchon, Turing instabilities on Cartesian product networks, Scientific Reports 5 (2015)

J.-C Delvenne, R. Lambiotte and L.E.C. Rocha, Diffusion on networked systems is a question of time or structure, Nature communications 6 (2015)

J. Dehaye and J.J. Winkin, LQ-optimal boundary control of infinite-dimensional systems with Yosida-type approximate boundary observation, Automatica. 67, p. 94-106 (2016)

C. Prieur and J.J. Winkin, Boundary feedback control of linear hyperbolic systems: Application to the Saint-Venant–Exner equations, Automatica, 89, pp. 44-51 (2018)