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 …

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 …

This paper develops the theory and computation of Lagrangian Coherent Structures (LCS),
which are defined as ridges of Finite-Time Lyapunov Exponent (FTLE) fields. These ridges …

This survey paper contains a review of the past and recent developments in system
identification of nonlinear dynamical structures. The objective is to present some of the …

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 …

This book comprises seven chapters, an appendix, a bibliographical section 98 references,
and an index. Exercises are provided at the end of each chapter. The stated goal of the book …

In the past ten years, there has been much progress in understanding the global dynamics
of systems with several degrees-of-freedom. An important tool in these studies has been the …

The luminescent efficiency of rare earth ions is usually drastically lowered when defects are
present in the host lattice. Persistent luminescence is the most recent rare earth application …

Dynamical systems and their linear stability; 2. Topological chaos; 3. Liouvillian dynamics; 4.
Probabalistic chaos; 5. Chaotic scattering; 6. Scattering theory of transport; 7. Hydrodynamic …