Weak and Intermediate Coupling Solutions of the Fröhlich Hamiltonian

2018 ◽  
pp. 31-89
Author(s):  
Ashok Chatterjee ◽  
Soma Mukhopadhyay
1971 ◽  
Vol 49 (13) ◽  
pp. 1832-1835 ◽  
Author(s):  
M. Csürös ◽  
J. A. Cameron ◽  
Z. Zàmori

Calculations based on the collective model with intermediate coupling between the surface oscillations of the even–even core 54Fe and 29th neutron have been carried out. Level energies, spectroscopic factors, and electromagnetic properties are obtained in good agreement with experiment.


2007 ◽  
Vol 17 (07) ◽  
pp. 2517-2530 ◽  
Author(s):  
OLEKSANDR V. POPOVYCH ◽  
VALERII KRACHKOVSKYI ◽  
PETER A. TASS

We present a detailed bifurcation analysis of desynchronization transitions in a system of two coupled phase oscillators with delay. The coupling between the oscillators combines a delayed self-feedback of each oscillator with an instantaneous mutual interaction. The delayed self-feedback leads to a rich variety of dynamical regimes, ranging from phase-locked and periodically modulated synchronized states to chaotic phase synchronization and desynchronization. We show that an increase of the coupling strength between oscillators may lead to a loss of synchronization. Intriguingly, the delay has a twofold influence on the oscillations: synchronizing for small and intermediate coupling strength and desynchronizing if the coupling strength exceeds a certain threshold value. We show that the desynchronization transition has the form of a crisis bifurcation of a chaotic attractor of chaotic phase synchronization. This study contributes to a better understanding of the impact of time delay on interacting oscillators.


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