By Bruno Cordani
This unique monograph goals to discover the dynamics within the specific yet vitally important and demanding case of quasi-integrable Hamiltonian structures, or integrable platforms just a little perturbed by way of different forces. With either analytic and numerical tools, the booklet experiences a number of of those systems—including for instance the hydrogen atom or the sunlight process, with the linked Arnold web—through sleek instruments reminiscent of the frequency transformed fourier remodel, wavelets, and the frequency modulation indicator. in the meantime, it attracts seriously at the extra common KAM and Nekhoroshev theorems.
Geography of Order and Chaos in Mechanics should be a precious source for pro researchers and likely complex undergraduate scholars in arithmetic and physics, yet quite often could be a good reference for Ph.D. scholars with an curiosity in perturbation theory.
Read Online or Download Geography of Order and Chaos in Mechanics: Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools: 64 (Progress in Mathematical Physics) PDF
Similar chaos & systems books
Striving to discover the topic in as uncomplicated a fashion as attainable, this ebook is helping readers comprehend the elusive proposal of entropy. leading edge elements of the booklet comprise the development of statistical entropy from wanted houses, the derivation of the entropy of classical platforms from simply classical assumptions, and a statistical thermodynamics method of the appropriate Fermi and excellent Bose gases.
This ebook describes approach dynamics with discontinuity as a result of approach interactions and offers the idea of move singularity and switchability on the boundary in discontinuous dynamical platforms. in keeping with one of these idea, the authors deal with dynamics and movement mechanism of engineering discontinuous platforms because of interplay.
This based publication offers a rigorous advent to the speculation of nonlinear mechanics and chaos. It seems that many straightforward mechanical structures be afflicted by a weird illness. they're deterministic within the experience that their movement should be defined with partial differential equations, yet those equations don't have any right options and the habit they describe might be wildly unpredictable.
This publication specializes in modelling and simulation, regulate and optimization, sign processing, and forecasting in chosen nonlinear dynamical structures, proposing either literature reports and novel concepts. It develops analytical or numerical techniques, that are basic to take advantage of, strong, good, versatile and universally acceptable to the research of advanced nonlinear dynamical structures.
- Direct and Large-Eddy Simulation (De Gruyter Series in Computational Science and Engineering)
- Chaos, CNN, Memristors and Beyond:A Festschrift for Leon ChuaWith DVD-ROM, composed by Eleonora Bilotta
- A Philosophical Analysis of Chaos Theory (New Directions in the Philosophy of Science)
- Nature's Longest Threads:New Frontiers in the Mathematics and Physics of Information in Biology
- La haine de la parole (LIENS QUI LIBER) (French Edition)
Extra info for Geography of Order and Chaos in Mechanics: Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools: 64 (Progress in Mathematical Physics)
Geography of Order and Chaos in Mechanics: Investigations of Quasi-Integrable Systems with Analytical, Numerical, and Graphical Tools: 64 (Progress in Mathematical Physics) by Bruno Cordani