Lagrangian analysis is a powerful way to analyse the output of ocean circulation models and
other ocean velocity data such as from altimetry. In the Lagrangian approach, large sets of …

Typical fluid particle trajectories are sensitive to changes in their initial conditions. This
makes the assessment of flow models and observations from individual tracer samples …

Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of
complex dynamics. Utilising a pragmatic, physical approach, this self-contained book …

In 1980 and 1981, two pioneering papers laid the foundation for what became known as
nonlinear time-series analysis: the analysis of observed data—typically univariate—via …

Coherent Lagrangian (material) structures are ubiquitous in unsteady fluid flows, often
observable indirectly from tracer patterns they create, for example, in the atmosphere and …

Chaotic dynamics can be considered as a physical phenomenon that bridges the regular
evolution of systems with the random one. These two alternative states of physical …

The dynamics of realistic Hamiltonian systems has unusual microscopic features that are
direct consequences of its fractional space-time structure and its phase space topology. The …

Forecasts of ecological dynamics in changing environments are increasingly important, and
are available for a plethora of variables, such as species abundance and distribution …

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 …

We review statistical analyses of Lagrangian data from the ocean. These can be grouped
into studies involving single particles and those with pairs or groups of particles. Single …