The application of methods drawn from nonlinear and stochastic dynamics to the analysis of
cardiovascular time series is reviewed, with particular reference to the identification of …

The complex Ginzburg–Landau equation (CGLE), probably the most celebrated nonlinear
equation in physics, describes generically the dynamics of oscillating, spatially extended …

The phase oscillator model with global coupling is extended to the case of finite-range
nonlocal coupling. Under suitable conditions, peculiar patterns emerge in which a quasi …

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 …

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 …

An overview is given on two representative methods of dynamical reduction known as centre-
manifold reduction and phase reduction. These theories are presented in a somewhat more …

Multi-scale systems, involving complex interacting processes that occur over a range of
temporal and spatial scales, are present in a broad range of disciplines. Several …

We analyze the consequences of symmetry breaking in the coupling in a network of globally
coupled identical Stuart-Landau oscillators. We observe that symmetry breaking leads to …

Fairy circles consist of isolated or randomly distributed circular areas devoid of any
vegetation. They are observed in vast territories in southern Angola, Namibia and South …