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 …

In this book we will study equations of the following form x= f (x, t; µ),(0.0. 1) and x↦→ g (x;
µ),(0.0. 2) with x∈ U⊂ Rn, t∈ R1, and µ∈ V⊂ Rp where U and V are open sets in Rn and …

We introduce a Lagrangian definition for the boundaries of coherent structures in two-
dimensional turbulence. The boundaries are defined as material lines that are linearly stable …

Chaotic transport in a laminar fluid flow in a rotating annulus is studied experimentally by
tracking large numbers of tracer particles for long times. Sticking and unsticking of particles …

The dynamics of quasi-geostrophic flow with uniform potential vorticity reduces to the
evolution of buoyancy, or potential temperature, on horizontal boundaries. There is a formal …

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

Provides a new and more realistic framework for describing the dynamics of non-linear
systems. A number of issues arising in applied dynamical systems from the viewpoint of …

Transport and mixing properties of Rossby waves in shear flow are studied using tools from
Hamiltonian chaos theory. The destruction of barriers to transport is studied analytically, by …

The motion of fluid parcels in a two-dimensional kinematic model of a meandering jet is
investigated using Melnikov's method. The study is motivated by a recent analysis of float …

We present a model of one-dimensional symmetric and asymmetric random walks. The
model is applied to an experiment studying fluid transport in a rapidly rotating annulus. In the …