By Bruno Cordani
This unique monograph goals to discover the dynamics within the specific yet vitally important and critical case of quasi-integrable Hamiltonian platforms, or integrable platforms somewhat perturbed through different forces. With either analytic and numerical equipment, the booklet reports numerous of those systems—including for instance the hydrogen atom or the sunlight procedure, with the linked Arnold web—through sleek instruments comparable to the frequency changed fourier rework, wavelets, and the frequency modulation indicator. in the meantime, it attracts seriously at the extra regular KAM and Nekhoroshev theorems.
Geography of Order and Chaos in Mechanics can be a worthy source for pro researchers and sure complex undergraduate scholars in arithmetic and physics, yet commonly may be a very 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
Best chaos & systems books
A different, hands-on consultant to interactive modeling and simulation of engineering structures This booklet describes complicated, state-of-the-art recommendations for dynamic procedure simulation utilizing the will modeling/simulation software program package deal. It deals particular counsel on how you can enforce the software program, supplying scientists and engineers with strong instruments for growing simulation eventualities and experiments for such dynamic structures as aerospace autos, regulate platforms, or organic structures.
Examine into social structures is demanding as a result of their advanced nature. conventional tools of study are frequently tough to use successfully as theories evolve through the years. this is often as a result of an absence of applicable information, or an excessive amount of uncertainty. it may well even be the results of difficulties which aren't but understood good sufficient within the basic experience so that it will be categorized, and a suitable resolution fast pointed out.
This e-book makes a speciality of the computational research of nonlinear vibrations of structural contributors (beams, plates, panels, shells), the place the studied dynamical difficulties may be decreased to the glory of 1 spatial variable and time. The aid is performed in accordance with a proper mathematical strategy geared toward decreasing the issues with limitless measurement to finite ones.
This quantity collects the edited and reviewed contribution awarded within the seventh iTi convention in Bertinoro, protecting primary and utilized facets in turbulence. within the spirit of the iTi convention, the amount is produced after the convention in order that the authors had the chance to include reviews and discussions raised through the assembly.
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)