Coupled biological and chemical systems, neural networks, social interacting species, the
Internet and the World Wide Web, are only a few examples of systems composed by a large …

Publisher Summary This chapter presents the case of two coupled identical systems. The
chapter describes the first historical studies on complete synchronization (CS) phenomena …

Large populations of interacting active elements, periodic or chaotic, can undergo
spontaneous transitions to dynamically ordered states. These collective states are …

By developing the concepts of strength of incoherence and discontinuity measure, we show
that a distinct quantitative characterization of chimera and multichimera states which occur in …

Existing methods of complexity research are capable of describing certain specifics of bio
systems over a given narrow range of parameters but often they cannot account for the initial …

A Ginzburg-Landau-type equation with nonlocal coupling is derived systematically as a
reduced form of a universal class of reaction-diffusion systems near the Hopf bifurcation …

We identify the mechanism behind the existence of intensity-induced chimera states in
globally coupled oscillators. We find that the effect of intensity in the system is to cause …

We explore the aging transition in a network of globally coupled Stuart-Landau oscillators
under a discrete time-dependent coupling. In this coupling, the connections among the …

In networks of excitatory and inhibitory neurons with mutual synaptic coupling, specific drive
to sub-ensembles of cells often leads to gamma-frequency (25–100 Hz) oscillations. When …

We obtain exact analytical results for lattices of maps with couplings that decay with distance
as r− α. We analyze the effect of the coupling range on the system dynamics through the …