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.

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