Group synchronization of coupled harmonic oscillators without velocity measurements

2018 ◽  
Vol 91 (4) ◽  
pp. 2773-2788 ◽  
Author(s):  
Hua Zhang ◽  
Jinchen Ji
Keyword(s):  
Harmonic Oscillators ◽  
Velocity Measurements ◽  
Coupled Harmonic Oscillators ◽  
Group Synchronization

scholarly journals Group synchronization of diffusively coupled harmonic oscillators

Kybernetika ◽  
2016 ◽  
pp. 629-647 ◽  
Author(s):  
Liyun Zhao ◽  
Jun Liu ◽  
Lan Xiang ◽  
Jin Zhou
Keyword(s):  
Harmonic Oscillators ◽  
Coupled Harmonic Oscillators ◽  
Group Synchronization

Resonant interval action transfer between coupled harmonic oscillators

1988 ◽  
Vol 29 (10) ◽  
pp. 2202-2204 ◽  
Author(s):  
R. O. Dendy
Keyword(s):  
Harmonic Oscillators ◽  
Coupled Harmonic Oscillators

Adaptive cluster synchronisation of coupled harmonic oscillators with multiple leaders

2013 ◽  
Vol 7 (5) ◽  
pp. 765-772 ◽  
Author(s):  
Housheng Su ◽  
Hongwei Wang ◽  
Michael Z. Q. Chen ◽  
Najl V. Valeyev ◽  
Xiaofan Wang
Keyword(s):  
Harmonic Oscillators ◽  
Coupled Harmonic Oscillators ◽  
Multiple Leaders

Coupled Harmonic Oscillators: Indistinguishable Particles

2012 ◽  
pp. 170-184
Author(s):  
Siegmund Brandt ◽  
Hans Dieter Dahmen
Keyword(s):  
Harmonic Oscillators ◽  
Coupled Harmonic Oscillators

Poincaré Cycles, Ergodicity, and Irreversibility in Assemblies of Coupled Harmonic Oscillators

1960 ◽  
Vol 1 (1) ◽  
pp. 70-84 ◽  
Author(s):  
Peter Mazur ◽  
Elliott Montroll
Keyword(s):  
Harmonic Oscillators ◽  
Coupled Harmonic Oscillators

Quantum solutions of identical linearly coupled harmonic oscillators using oblique coordinates

2019 ◽  
Vol 52 (5) ◽  
pp. 055101 ◽  
Author(s):  
José Zúñiga ◽  
Adolfo Bastida ◽  
Alberto Requena
Keyword(s):  
Harmonic Oscillators ◽  
Coupled Harmonic Oscillators

Time-dependent coupled harmonic oscillators: Classical and quantum solutions

2014 ◽  
Vol 23 (09) ◽  
pp. 1450048 ◽  
Author(s):  
D. X. Macedo ◽  
I. Guedes
Keyword(s):  
Canonical Transformation ◽  
Unitary Transformation ◽  
Coupling Parameter ◽  
Wave Functions ◽  
Harmonic Oscillators ◽  
Time Dependent ◽  
Classical Solutions ◽  
Arbitrary System ◽  
Coupled Harmonic Oscillators ◽  
The Masses

In this work we present the classical and quantum solutions for an arbitrary system of time-dependent coupled harmonic oscillators, where the masses (m), frequencies (ω) and coupling parameter (k) are functions of time. To obtain the classical solutions, we use a coordinate and momentum transformations along with a canonical transformation to write the original Hamiltonian as the sum of two Hamiltonians of uncoupled harmonic oscillators with modified time-dependent frequencies and unitary masses. To obtain the exact quantum solutions we use a unitary transformation and the Lewis and Riesenfeld (LR) invariant method. The exact wave functions are obtained by solving the respective Milne–Pinney (MP) equation for each system. We obtain the solutions for the system with m1 = m2 = m0eγt, ω1 = ω01e-γt/2, ω2 = ω02e-γt/2 and k = k0.

A Two-Particle System: Coupled Harmonic Oscillators

2010 ◽  
pp. 122-137
Author(s):  
Siegmund Brandt ◽  
Hans Dieter Dahmen ◽  
Tilo Stroh
Keyword(s):  
Particle System ◽  
Harmonic Oscillators ◽  
Coupled Harmonic Oscillators
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