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 …

We use recent advances in the machine learning area known as “reservoir computing” to
formulate a method for model-free estimation from data of the Lyapunov exponents of a …

Introduction; 1. Turbulence and dynamical systems; 2. Phenomenology of turbulence; 3.
Reduced models for hydrodynamic turbulence; 4. Turbulence and coupled map lattices; 5 …

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

Chaos: from simple models to complex systems aims to guide science and engineering
students through chaos and nonlinear dynamics from classical examples to the most recent …

Understanding the phenomenon of rogue wave formation, often called extreme waves, in
diverse branches of nonlinear science has become one of the most attractive domains …

Nonlinear transport phenomena are an increasingly important aspect of modern
semiconductor research. This volume deals with complex nonlinear dynamics, pattern …

We explore the high-dimensional chaotic dynamics of the Lorenz-96 model by computing
the variation of the fractal dimension with system parameters. The Lorenz-96 model is a …

The dynamical phases of the Hindmarsh-Rose neuronal model are analyzed in detail by
varying the external current I⁠. For increasing current values, the model exhibits a peculiar …

After a brief introduction to the complex Ginzburgh-Landau equation, some of its important
features in two space dimensions are reviewed. A comprehensive study of the various …