Localized structures in nonlinear lattices with diffusive coupling and external driving

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Symmetry breaking, coupling management, and localized modes in dual-core discrete nonlinear-Schrödinger lattices

We introduce a system of two linearly coupled discrete nonlinear Schrödinger equations (DNLSEs), with the coupling constant subject to a rapid temporal modulation. The model can be realized in bimodal Bose–Einstein condensates (BEC). Using an averaging procedure based on the multiscale method, we derive a system of averaged (autonomous) equations, which take the form of coupled DNLSEs with addi...

متن کامل

Localized Oscillations in Nonlinear Lattices : Existence and Stability

Numerical methods using homoclinic orbits are applied to study the existence and stability of spatially localized and time-periodic oscillations of 1-dimensional (1D) nonlinear lattices, with linear interaction between nearest neighbors and a quartic on – site potential 4 2 4 1 2 1 ) ( u Ku u V ± = where the ( + ) sign corresponds to “hard spring” and ( ) to “soft spring” models. These localize...

متن کامل

Compactification tuning for nonlinear localized modes in sawtooth lattices.

We discuss the properties of nonlinear localized modes in sawtooth lattices, in the framework of a discrete nonlinear Schrödinger model with general on-site nonlinearity. Analytic conditions for existence of exact compact three-site solutions are obtained, and explicitly illustrated for the cases of power-law (cubic) and saturable nonlinearities. These nonlinear compact modes appear as continua...

متن کامل

Existence of localized excitations in nonlinear Hamiltonian lattices.

We consider time-periodic nonlinear localized excitations (NLEs) on one-dimensional translationally invariant Hamiltonian lattices with arbitrary finite interaction range and arbitrary finite number of degrees of freedom per unit cell. We analyse a mapping of the Fourier coefficients of the NLE solution. NLEs correspond to homoclinic points in the phase space of this map. Using dimensionality p...

متن کامل

Nonlinear localized modes in two-dimensional electrical lattices.

We report the observation of spontaneous localization of energy in two spatial dimensions in the context of nonlinear electrical lattices. Both stationary and moving self-localized modes were generated experimentally and theoretically in a family of two-dimensional square as well as honeycomb lattices composed of 6 × 6 elements. Specifically, we find regions in driver voltage and frequency wher...

متن کامل

ذخیره 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: Physical Review E

سال: 2000

ISSN: 1063-651X,1095-3787

DOI: 10.1103/physreve.61.1106