By Paul H. Rabinowitz,Eduard Zehnder
Organized into 31 chapters, this ebook starts with an outline of a few simple effects of the definition of algebraic whole integrability. this article then derives a illustration theorem for options of the Helmholtz equation. different chapters give some thought to the integrable generalizations of the Volterra approach and clarify the dynamical method within the finite-dimensional case. This e-book discusses to boot the worldwide periodic recommendations for the planar triple pendulum. the ultimate bankruptcy bargains with the matter of deriving the macroscopic conservation legislation, or the Euler equations, in actual model from the microscopic equations of classical mechanics.
This booklet is a important source for mathematicians.
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This ebook is made out of chosen learn articles built from a workshop on Ergodic conception, Probabilistic equipment and functions, held in April 2012 on the Banff overseas learn Station. It comprises contributions from global best specialists in ergodic concept, numerical dynamical platforms, molecular dynamics and ocean/atmosphere dynamics, nonequilibrium statistical mechanics.
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