Coherent Structures Generated by Inhomogeneities in Oscillatory Media
نویسندگان
چکیده
منابع مشابه
Coherent Structures Generated by Inhomogeneities in Oscillatory Media
We investigate the effect of spatially localized inhomogeneities on a spatially homogeneous oscillation in a reaction-diffusion system. In dimension up to 2, we find sources and contact defects, that is, the inhomogeneity may either send out phase waves or act as a weak sink. We show that small inhomogeneities cannot act as sources in more than 2 space dimensions. We also derive asymptotics for...
متن کاملCoherent structures near the boundary between excitable and oscillatory media
We investigate reaction-diffusion systems near parameter values that mark the transition from an excitable to an oscillatory medium. We analyze existence and stability of traveling waves near a steep pulse that arises as the limit of excitation pulses when parameters cross into the oscillatory regime. Traveling waves near this limiting profile are obtained by analyzing a codimension-two homocli...
متن کاملWaves spontaneously generated by heterogeneity in oscillatory media
Wave propagation is an important characteristic for pattern formation and pattern dynamics. To date, various waves in homogeneous media have been investigated extensively and have been understood to a great extent. However, the wave behaviors in heterogeneous media have been studied and understood much less. In this work, we investigate waves that are spontaneously generated in one-dimensional ...
متن کاملComputing microscopic structures of inhomogeneities in superconductors
We present an efficient computational method to solve selfconsistently the Bogoliubov–de Gennes equations of weak coupling superconductivity. As a function of system size, the scaling of the CPU time required by the scheme is shown to be preferable compared to the methods commonly used. Also, the scheme allows taking into account nonlocal pairing interactions without additional computational co...
متن کاملModified Structure Function Model Based on Coherent Structures
In the present study, a modified Structure Function was introduced. In this modified Structure Function model, the coefficient of model was computed dynamically base on the coherent structure in the flow field. The ability of this Modified Structure Function was investigated for complex flow over a square cylinder in free stream and a low aspect ratio cylinder confined in a channel. The Results...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Applied Dynamical Systems
سال: 2007
ISSN: 1536-0040
DOI: 10.1137/060666950