Localized waves in nonlinear oscillator chains
نویسندگان
چکیده
منابع مشابه
Localized waves in nonlinear oscillator chains.
This paper reviews results about the existence of spatially localized waves in nonlinear chains of coupled oscillators, and provides new results for the Fermi-Pasta-Ulam (FPU) lattice. Localized solutions include solitary waves of permanent form and traveling breathers which appear time periodic in a system of reference moving at constant velocity. For FPU lattices we analyze the case when the ...
متن کاملNonlinear localized modes in inhomogeneous chains
In the framework of a simple model of one-dimensional nonlinear lattices it is demonstrated that a nonlinear impurity mode may be treated as a bound state of an intrinsic localized mode developed by Sievers and Takeno with the impurity. Using an approach based on the soliton phenomenology the effective potential describing the interaction of the intrinsic localized mode with the impuritv is cal...
متن کاملNonlinear localized waves in a periodic medium.
We analyze the existence and stability of nonlinear localized waves in a periodic medium described by the Kronig-Penney model with a nonlinear defect. We demonstrate the existence of a novel type of stable nonlinear band-gap localized state, and also reveal a generic physical mechanism of the oscillatory wave instabilities associated with the band-gap resonances.
متن کاملNonlinear waves in disordered diatomic granular chains.
We investigate the propagation and scattering of highly nonlinear waves in disordered granular chains composed of diatomic (two-mass) units of spheres that interact via Hertzian contact. Using ideas from statistical mechanics, we consider each diatomic unit to be a "spin," so that a granular chain can be viewed as a spin chain composed of units that are each oriented in one of two possible ways...
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: Chaos: An Interdisciplinary Journal of Nonlinear Science
سال: 2005
ISSN: 1054-1500,1089-7682
DOI: 10.1063/1.1836151