Impact of time varying interaction: Formation and annihilation of extreme events in dynamical systems

0580721 - ÚI 2024 RIV US eng J - Journal Article
Kingston, L. - Kumaran, G. - Ghosh, Anupam - Kumarasamy, S. - Kapitaniak, T.
Impact of time varying interaction: Formation and annihilation of extreme events in dynamical systems.
Chaos. Roč. 33, č. 12 (2023), č. článku 123134. ISSN 1054-1500. E-ISSN 1089-7682
Grant - others:AV ČR(CZ) AP1901
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985807
Keywords : FitzHugh-Nagumo model * Coupled oscillators * Chaotic systems * Phase transitions * Network theory * Probability theory * Complex systems theory * Neuron model
OECD category: Meteorology and atmospheric sciences
Impact factor: 2.9, year: 2022
Method of publishing: Limited access
https://doi.org/10.1063/5.0174366

This study investigates the emergence of extreme events in two different coupled systems: the FitzHugh-Nagumo neuron model and the forced Liénard system, both based on time-varying interactions. The time-varying coupling function between the systems determines the duration and frequency of their interaction. Extreme events in the coupled system arise as a result of the influence of time-varying interactions within various parameter regions. We specifically focus on elucidating how the transition point between extreme events and regular events shifts in response to the duration of interaction time between the systems. By selecting the appropriate interaction time, we can effectively mitigate extreme events, which is highly advantageous for controlling undesired fluctuations in engineering applications. Furthermore, we extend our investigation to networks of oscillators, where the interactions among network elements are also time dependent. The proposed approach for coupled systems holds wide applicability to oscillator networks.
Permanent Link: https://hdl.handle.net/11104/0349476