Geography Of Order And Chaos In Mechanics: Investigations Of Quasi-integrable Systems With Analytical, Numerical, And Graphical Tools (progress In Mathematical Physics)
by Bruno Cordani /
2012 / English / PDF
19.4 MB Download
This original monograph aims to explore the dynamics in the
particular but very important and significant case of
quasi-integrable Hamiltonian systems, or integrable systems
slightly perturbed by other forces. With both analytic and
numerical methods, the book studies several of these
systems—including for example the hydrogen atom or the solar
system, with the associated Arnold web—through modern tools such
as the frequency modified fourier transform, wavelets, and the
frequency modulation indicator. Meanwhile, it draws heavily on
the more standard KAM and Nekhoroshev theorems.
This original monograph aims to explore the dynamics in the
particular but very important and significant case of
quasi-integrable Hamiltonian systems, or integrable systems
slightly perturbed by other forces. With both analytic and
numerical methods, the book studies several of these
systems—including for example the hydrogen atom or the solar
system, with the associated Arnold web—through modern tools such
as the frequency modified fourier transform, wavelets, and the
frequency modulation indicator. Meanwhile, it draws heavily on
the more standard KAM and Nekhoroshev theorems.Geography of Order and Chaos in Mechanics
Geography of Order and Chaos in Mechanics will be a
valuable resource for professional researchers and certain
advanced undergraduate students in mathematics and physics, but
mostly will be an exceptional reference for Ph.D. students with
an interest in perturbation theory.
will be a
valuable resource for professional researchers and certain
advanced undergraduate students in mathematics and physics, but
mostly will be an exceptional reference for Ph.D. students with
an interest in perturbation theory.