Measure Synchronization and Phase Coherence in a High Dimensional Hamiltonian System

2019 ◽  
Vol 74 (8) ◽  
pp. 764-770
Author(s):  
Jing Tian ◽  
Bo Li ◽  
Haibo Qiu
Keyword(s):  
Hamiltonian System ◽  
Phase Coherence ◽  
High Dimensional ◽  
Measure Synchronization

MEASURE SYNCHRONIZATION IN A COUPLED HAMILTONIAN SYSTEM ASSOCIATED WITH NONLINEAR SCHRÖDINGER EQUATION

2005 ◽  
Vol 19 (15) ◽  
pp. 737-742 ◽  
Author(s):  
U. E. VINCENT ◽  
A. N. NJAH ◽  
O. AKINLADE
Keyword(s):  
Phase Space ◽  
Hamiltonian System ◽  
Invariant Measure ◽  
Schrödinger Equation ◽  
Hamiltonian Systems ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Measure Synchronization

We present preliminary numerical findings concerning measure synchronization in a pair of coupled Nonlinear Hamiltonian Systems (NLHS) derived from a Nonlinear Schrödinger Equation (NLSE). The dynamics of the two coupled NLHS were found to exhibit a transition to coherent invariant measure; their orbits sharing the same phase space as the coupling strength is increased. Transitions from quasiperiodicity (QP) measure desynchronization to QP measure synchronization and QP measure desynchronization to chaotic (CH) measure synchronization were observed.

Data-driven Coarse-grained Modeling of Non-equilibrium Systems

Soft Matter ◽  
2021 ◽  
Author(s):  
Shu Wang ◽  
Zhan Ma ◽  
Wenxiao Pan
Keyword(s):  
Hamiltonian System ◽  
Computational Cost ◽  
Data Driven ◽  
Coarse Grained ◽  
High Dimensional ◽  
Bottom Up ◽  
Reduced Dimensions ◽  
System P ◽  
Non Equilibrium

Modeling a high-dimensional Hamiltonian system in reduced dimensions with respect to coarse-grained (CG) variables can greatly reduce computational cost and enable efficient bottom-up prediction of main features of the system...

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