Rhythmic behavior represents one of the most striking and ubiquitous manifestations of
functional evolution for a wide class of natural and man-made systems. The emergence of …

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 …

A modern introduction to synchronization phenomena, this text presents recent discoveries
and the current state of research in the field, from low-dimensional systems to complex …

Recurrence is a fundamental property of dynamical systems, which can be exploited to
characterise the system's behaviour in phase space. A powerful tool for their visualisation …

Synchronization processes in populations of locally interacting elements are the focus of
intense research in physical, biological, chemical, technological and social systems. The …

Synchronization of chaos refers to a process wherein two (or many) chaotic systems (either
equivalent or nonequivalent) adjust a given property of their motion to a common behavior …

Individual-based models are an exciting and widely used new tool for ecology. These
computational models allow scientists to explore the mechanisms through which population …

Seasonal variations in temperature, rainfall and resource availability are ubiquitous and can
exert strong pressures on population dynamics. Infectious diseases provide some of the best …

The knowledge of transitions between regular, laminar or chaotic behaviors is essential to
understand the underlying mechanisms behind complex systems. While several linear …

Reservoir computing systems, a class of recurrent neural networks, have recently been
exploited for model-free, data-based prediction of the state evolution of a variety of chaotic …