Hopf bifurcations of traveling wave solutions for time-dependent Ginzburg–Landau equation for atomic Fermi gases near the BCS-BEC crossover

Autor:	Fang Shao-mei, Wang Xia, Guan Jinlan, Guo Changhong
Rok vydání:	2013
Předmět:	Condensed Matter::Quantum Gases Hopf bifurcation Numerical Analysis Range (particle radiation) Applied Mathematics Crossover Diagram Ginzburg landau equation symbols.namesake Modeling and Simulation Quantum mechanics Traveling wave symbols Mathematics Phase diagram Fermi Gamma-ray Space Telescope
Zdroj:	Communications in Nonlinear Science and Numerical Simulation. 18:124-135
ISSN:	1007-5704
DOI:	10.1016/j.cnsns.2012.05.008
Popis:	This paper studied the traveling wave solutions for the time-dependent Ginzburg–Landau equation for atomic Fermi gases near the BCS-BEC crossover, and proposed the parameter conditions that appear the Hopf bifurcations when g = 0 and g ≠ 0 . Under these parameter conditions, by numerical simulations, we gained the diagram of the periodic traveling wave solutions and their phase diagram, and we can know the velocity’s range that appear Hopf bifurcation is 1.97 ⩽ e ⩽ 9.31 .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7b1b655784d95f2b990d653d14ab6b89 https://doi.org/10.1016/j.cnsns.2012.05.008 Zobrazit plný text záznamu Full Text from ScienceDirect