Travelling Waves and Periodic Oscillations in Fermi-Pasta-Ulam Lattices by Alexander Pankov (PDF)

Description

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.

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Editorial Reviews: Review .,.” well-written … reader-friendly and good-organized … highly recommended for experts in ODE, PDE, and nonlinear physics.?

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