TRAVELLING WAVES AND PERIODIC OSCILLATIONS IN FERMI-PASTA-ULAM LATTICES

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by Alexander Pankov (The College of William and Mary, USA)

Table of Contents (51k)
Preface (161k)
Chapter 1: Infinite Lattice Systems (597k)

This is a unique book that presents rigorous mathematical results on Fermi-Pasta-Ulam lattices, a field of great interest in nonlinear analysis, nonlinear science, mathematical physics, etc. It considers travelling waves and time periodic oscillations in infinite Fermi-Pasta-Ulam lattices, which are not necessarily spatially homogenous. Similar systems, infinite chains of linearly coupled nonlinear oscillators, are also discussed. The book is self-contained and includes a number of open problems, making it suitable for use in a course for graduate students.

Contents:

Infinite Lattice Systems
Time Periodic Oscillations
Travelling Waves: Waves with Prescribed Speed
Travelling Waves: Further Results

Readership: Researchers in nonlinear analysis, variational methods, critical point theory, nonlinear science and physics.

“This well-written book is a reader-friendly and good-organized research monograph in the field of nonlinear science. It can be highly recommended for experts in ODE, PDE, and nonlinear physics.”

Zentralblatt MATH

212pp		Pub. date: Mar 2005
ISBN: 978-1-86094-532-8 1-86094-532-5		US$85 / £58

212pp		Pub. date: Mar 2005
ISBN: 978-1-86094-721-6(ebook) 1-86094-721-2(ebook)		US$111

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