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Abstract: We study the phenomenon of cluster synchrony that occurs in ensembles of coupled phase oscillators when higher-order modes dominate the coupling between oscillators. For the first time, we d...
The problem of existence or non-existence of singular cycles (or komoclinic loops and keteroclinic cydes as being termed in the modern literature of nonlinear dyndric systems) is one of the most impor...
In this paper we consider a class of fractional order evolution equations which interpolates the heat equation and wave equation. By Mittag-Lefflers functions[1] and functions transform the representa...
Let X_i, Y_j, i, j = 2…, n, be independent nonnegative r.v.'s with X_i~ F_i(t) = 1-exp(-R_i(t)) and Y_j~ G_j(t) = 1- exp(-R(t)), j=1,…, n. Two kinds of models are considered, and the monotone coupling...

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