Multiscale time averaging, Reloaded

2012/07/04 by Shmuel Fishman, Avy Soffer, Fishman, Shmuel +1
Physics and Astronomy · Computer Science · #Quantum chaos and dynamical systems #Advanced Mathematical Modeling in Engineering #Nonlinear Dynamics and Pattern Formation

paper · pdf · doi:10.48550/arxiv.1207.1125

Abstract

We develop a rigorously controlled multi-time scale averaging technique; the averaging is done on a finite time interval, properly chosen, and then, via iterations and normal form transformations, the time intervals are scaled to arbitrary order. Here, we consider as an example the problem of finite dimensional conservative dynamical system, which is quasiperiodic and dominated by slow frequencies, leading to small divisor problems in perturbative schemes.

Citations

• Resonances, radiation damping and instabilitym in Hamiltonian nonlinear wave equations
• SELECTION OF THE GROUND STATE FOR NONLINEAR SCHRÖDINGER EQUATIONS

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