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 …

The aim of this Book is to give an overview, based on the results of nearly three decades of
intensive research, of transient chaos. One belief that motivates us to write this book is that …

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 …