The Fermi-Pasta-Ulam problem: paradox turns discovery
J Ford - Physics Reports, 1992 - Elsevier
This pedagogical review is written as a personal retrospective which seeks to place the
celebrated Fermi, Pasta, and Ulam paradox into historical perspective. After stating the …
celebrated Fermi, Pasta, and Ulam paradox into historical perspective. After stating the …
The Fermi–Pasta–Ulam problem: fifty years of progress
GP Berman, FM Izrailev - Chaos: An Interdisciplinary Journal of …, 2005 - pubs.aip.org
A brief review of the Fermi–Pasta–Ulam (FPU) paradox is given, together with its suggested
resolutions and its relation to other physical problems. We focus on the ideas and concepts …
resolutions and its relation to other physical problems. We focus on the ideas and concepts …
[LIBRO][B] Critical phenomena in natural sciences: chaos, fractals, selforganization and disorder: concepts and tools
D Sornette - 2006 - books.google.com
Concepts, methods and techniques of statistical physics in the study of correlated, as well as
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …
[LIBRO][B] Chaos: from simple models to complex systems
A Vulpiani - 2010 - books.google.com
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 …
students through chaos and nonlinear dynamics from classical examples to the most recent …
Secular chaos and the production of hot Jupiters
Y Wu, Y Lithwick - The Astrophysical Journal, 2011 - iopscience.iop.org
In a planetary system with two or more well-spaced, eccentric, inclined planets, secular
interactions may lead to chaos. The innermost planet may gradually become very eccentric …
interactions may lead to chaos. The innermost planet may gradually become very eccentric …
[LIBRO][B] Encyclopedia of nonlinear science
A Scott - 2006 - taylorfrancis.com
In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …
mathematical background for nonlinear science, as well as its applications to key problems …
[LIBRO][B] Products of random matrices: in Statistical Physics
A Crisanti, G Paladin, A Vulpiani - 2012 - books.google.com
At the present moment, after the success of the renormalization group in providing a
conceptual framework for studying second-order phase tran sitions, we have a nearly …
conceptual framework for studying second-order phase tran sitions, we have a nearly …
[LIBRO][B] Geometry and topology in Hamiltonian dynamics and statistical mechanics
M Pettini - 2007 - Springer
Phase transitions are among the most impressive phenomena occurring in nature. They are
an example of emergent behavior, ie, of collective properties having no direct counterpart in …
an example of emergent behavior, ie, of collective properties having no direct counterpart in …
Route to thermalization in the α-Fermi–Pasta–Ulam system
We study the original α-Fermi–Pasta–Ulam (FPU) system with N= 16, 32, and 64 masses
connected by a nonlinear quadratic spring. Our approach is based on resonant wave–wave …
connected by a nonlinear quadratic spring. Our approach is based on resonant wave–wave …
Localization and equipartition of energy in the β-FPU chain: Chaotic breathers
The evolution towards equipartition in the β-FPU chain is studied considering as initial
condition the highest frequency mode. Above an analytically derived energy threshold, this …
condition the highest frequency mode. Above an analytically derived energy threshold, this …