期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 321, 期 3, 页码 803-815出版社
SPRINGER
DOI: 10.1007/s00220-013-1728-8
关键词
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资金
- Fonds National Suisse [200020-126638]
- Swiss National Science Foundation (SNF) [200020_126638] Funding Source: Swiss National Science Foundation (SNF)
We consider multiscale Hamiltonian systems in which harmonic oscillators with several high frequencies are coupled to a slow system. It is shown that the oscillatory energy is nearly preserved over long times epsilon(-N) for arbitrary N > 1, where epsilon(-1) is the size of the smallest high frequency. The result is uniform in the frequencies and does not require non-resonance conditions.
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