Symplectic maps, variational principles, and transport

JD Meiss - Reviews of Modern Physics, 1992 - APS
Symplectic maps are the discrete-time analog of Hamiltonian motion. They arise in many
applications including accelerator, chemical, condensed-matter, plasma, and fluid physics …

Turbulence transition in pipe flow

B Eckhardt, TM Schneider, B Hof… - Annu. Rev. Fluid …, 2007 - annualreviews.org
Pipe flow is a prominent example among the shear flows that undergo transition to
turbulence without mediation by a linear instability of the laminar profile. Experiments on …

[BOOK][B] Nonlinear time series analysis

H Kantz, T Schreiber - 2003 - books.google.com
The paradigm of deterministic chaos has influenced thinking in many fields of science.
Chaotic systems show rich and surprising mathematical structures. In the applied sciences …

[BOOK][B] Deterministic chaos: an introduction

HG Schuster, W Just - 2006 - books.google.com
A new edition of this well-established monograph, this volume provides a comprehensive
overview over the still fascinating field of chaos research. The authors include recent …

[BOOK][B] Statistical mechanics of nonequilbrium liquids

DJ Evans, GP Morriss - 2007 - library.oapen.org
During the 1980's there were many developments regarding the nonequilibrium statistical
mechanics of dense classical atomic fluids. These developments have had a major impact …

[BOOK][B] Thermodynamics of chaotic systems

C Beck, F Schögl - 1995 - ui.adsabs.harvard.edu
Abstract Introduction; Part I. Essentials of Nonlinear Dynamics: 1. Nonlinear map**s; 2.
Probability in the theory of chaotic systems; 3. Symbolic dynamics; Part II. Essentials of …

Extreme events in dynamical systems and random walkers: A review

SN Chowdhury, A Ray, SK Dana, D Ghosh - Physics Reports, 2022 - Elsevier
Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …

Interdisciplinary application of nonlinear time series methods

T Schreiber - Physics reports, 1999 - Elsevier
This paper reports on the application to field measurements of time series methods
developed on the basis of the theory of deterministic chaos. The major difficulties are …

Manifestations of classical phase space structures in quantum mechanics

O Bohigas, S Tomsovic, D Ullmo - Physics Reports, 1993 - Elsevier
Using two coupled quartic oscillators for illustration, the quantum mechanics of simple
systems whose classical analogs have varying degrees of non-integrability is investigated …

[BOOK][B] Stretch, twist, fold: the fast dynamo

S Childress, AD Gilbert - 2008 - books.google.com
The study of the magnetic fields of the Earth and Sun, as well as those of other planets, stars,
and galaxies, has a long history and a rich and varied literature, including in recent years a …