Using exact numerical diagonalization, we investigate localization in two classes of random matrices corresponding to random graphs. The first class comprises the adjacency matrices of Erdős-Rényi (ER) random graphs. The second one corresponds to random cubic graphs, with Gaussian random...

In this paper we have studied the relaxation of the incoherent state to the coherent state of coupled phase oscillators with time delay in terms of lifetime of the incoherent state both in the presence and absence of noise. To make the present study general we have considered both Gaussian and...

This paper presents an adaptive lag synchronization based method for simultaneous identification of topology and parameters of uncertain general complex dynamical networks with and without time delays. Based on Lyapunov stability theorem and LaSalle’s invariance principle, an adaptive...

We present computational evidence of the possibility of fast, supersonic or subsonic, nearly loss-free transport of electrons bound to lattice solitons along crystallographic axes in two-dimensional anharmonic crystal lattices. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

We explore the evolution of cooperation in the framework of the evolutionary game theory using the prisoner’s dilemma as metaphor of the problem. We present a minimal model taking into account the growing process of the systems and individuals with imitation capacity. We consider the...