Measure synchronization in interacting Hamiltonian systems: A brief review

0579704 - ÚI 2024 RIV GB eng J - Journal Article
Ghosh, Anupam
Measure synchronization in interacting Hamiltonian systems: A brief review.
Chaos Solitons & Fractals. Roč. 177, December 2023 (2023), č. článku 114237. ISSN 0960-0779. E-ISSN 1873-2887
Grant - others:AV ČR(CZ) AP1901
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985807
Keywords : Coupled dynamical systems * Hamiltonian systems * Measure synchronization
OECD category: Applied mathematics
Impact factor: 7.8, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.chaos.2023.114237

This paper aims to review the measure synchronization, a weak form of synchronization observed in coupled Hamiltonian systems, briefly. This synchronization is characterized by a Hamiltonian system that displays either quasiperiodic or chaotic dynamics. Each system, in the presence of either linear or nonlinear coupling, shares a phase space domain with an identical invariant measure in the measure synchronized state. It is important to note that while the trajectories are identical in measure, they do not necessarily exhibit complete temporal synchrony. This synchronization has been observed in various physical systems, such as coupled pendulums, Josephson junctions, and lasers.
Permanent Link: https://hdl.handle.net/11104/0348510