Measure synchronization in interacting Hamiltonian systems: A brief review
arXiv:2304.06404 · doi:10.1016/j.chaos.2023.114237
Abstract
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.
arXiv comment23 pages, 11 figures
References in corpus (27)
- Synchronization in complex networks
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Chimera States for Coupled Oscillators
- Quantum Communication Through an Unmodulated Spin Chain
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- Perfect state transfer in quantum spin networks
- Spontaneous synchrony in power-grid networks
- Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
- Heat conduction in one dimensional nonintegrable systems
- Entanglement dynamics and quantum state transport in spin chains
- Fermi, Pasta, Ulam and a mysterious lady
- Experimental Observations of Group Synchrony in a System of Chaotic Optoelectronic Oscillators
- Localized coherence in two interacting populations of social agents
- Quantum Entanglement Manifestation of Transition to Nonlinear Self-trapping for Bose-Einstein Condensates in a Symmetric Double-Well
- Macroscopic self trapping in BECs: analysis of a dynamical quantum phase transition
- Synchronization dynamics of two nanomechanical membranes within a Fabry-Perot cavity
- Measure synchronization in quantum many-body systems
- Measure synchronization in a two-species bosonic Josephson junction
- Understanding transient uncoupling induced synchronization through modified dynamic coupling
- Hybrid synchronization in coupled ultracold atomic gases
- Occasional coupling enhances amplitude death in delay-coupled oscillators
- Quantum counterpart of Measure synchronization: A study on a pair of Harper systems
- Dynamical analysis of bounded and unbounded orbits in a generalized Hénon-Heiles system
- Occasional uncoupling overcomes measure desynchronization
- Comprehending deterministic and stochastic occasional uncoupling induced synchronizations through each other
- The Partition Function and Level Density for Yang-Mills-Higgs Quantum Mechanics
- Early detection of synchrony in coupled oscillator model