scholarly journals Dynamical transition for a class of integrable models coupled to a bath

2020 ◽  
Vol 102 (23) ◽  
Author(s):  
Madhumita Sarkar ◽  
K. Sengupta
Keyword(s):  
Integrable Models ◽  
Dynamical Transition

scholarly journals Revealing the Dynamical Transition of Anisotropy behind the HOST by Koopman Analysis

2020 ◽  
Author(s):  
Licheng Li ◽  
Hongchao ZUO ◽  
Bolong Chen ◽  
Yang Guo ◽  
Mengmeng Ma ◽  
...  
Keyword(s):  
Dynamical Transition

scholarly journals Bifurcation Analysis of Gene Propagation Model Governed by Reaction-Diffusion Equations

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Guichen Lu
Keyword(s):  
Reaction Diffusion ◽  
Complete Characterization ◽  
Propagation Model ◽  
Transition Theory ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Biological Parameters ◽  
Dynamical Transition ◽  
Attractor Bifurcation

We present a theoretical analysis of the attractor bifurcation for gene propagation model governed by reaction-diffusion equations. We investigate the dynamical transition problems of the model under the homogeneous boundary conditions. By using the dynamical transition theory, we give a complete characterization of the bifurcated objects in terms of the biological parameters of the problem.

INTEGRABLE MODELS OF FIELD THEORY AND SCATTERING ON QUANTUM HYPERBOLOIDS

1992 ◽  
Vol 07 (05) ◽  
pp. 441-446 ◽  
Author(s):  
A. ZABRODIN
Keyword(s):  
Field Theory ◽  
Symmetric Space ◽  
Quantum Group ◽  
Wave Scattering ◽  
Scattering Problem ◽  
Free Particle ◽  
Compact Quantum Group ◽  
Integrable Models ◽  
S Wave

We consider the scattering of two dressed excitations in the antiferromagnetic XXZ spin-1/2 chain and show that it is equivalent to the S-wave scattering problem for a free particle on the certain quantum symmetric space “quantum hyperboloid” related to the non-compact quantum group SU q (1, 1).

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