We present analytical and numerical studies of phase-coherent dynamics of intrinsically localized excitations (breathers) in a system of two weakly coupled nonlinear oscillator chains.
We find by means of an analytical derivation, supplemented by a numerical calculation, the conditions for the persistence of the population in the compound system of weakly connected patches.
Then, the global existence of solutions and the stability of equilibrium points to the system of weakly coupled reaction-diffusion type are discussed.
Here, we consider the approximate solution for coupled system of weakly singular integral algebraic equations which consist of both the first and the second kind Volterra integral equations.
In this paper, a system of linear edge filter demodulation based on weakly tilted fiber Bragg gratings in fiber sensor was proposed.
Recently, we documented a striking example of evolutionary change in the electrosensory systems of weakly electric fish (Carlson et al., 2011).
Second, and more subtly, dense deployment of Wi-Fi networks leads to large systems of weakly interacting networks.
Examples and applications are provided for systems of weakly coupled parabolic equations and for the measurement of the level sets of finite sums of root functions of A.
Numerical methods for solving nonlinear systems of weakly singular Volterra integral equations (VIEs) possessing weakly singular solutions appear almost nonexistent in the literature, except for a few treatments of single first kind Abel equations.
