| Citation: |
Xinyu Liu. STATISTICAL ENSEMBLES IN INTEGRABLE HAMILTONIAN SYSTEMS WITH PERIODIC FORCED TERMS[J]. Journal of Applied Analysis & Computation, 2024, 14(2): 1133-1147. doi: 10.11948/20230402
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STATISTICAL ENSEMBLES IN INTEGRABLE HAMILTONIAN SYSTEMS WITH PERIODIC FORCED TERMS
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Abstract
The aim of this study was to explore the statistical ensembles problem of integrable Hamiltonian systems with periodic forced terms. The findings indicated that, over an extended time period, the average value of the system's observations converges to the initial average value within a single cycle, for a given observation function G. This effect weakens the convergence conditions. We also established the weak convergence of a measure induced by a one-parameter flow, considering the time average, and made an inference corresponding to the system discussed in this article.
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Keywords:
- Fourier analysis /
- periodic forced terms /
- statistical ensembles
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References
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Xinyu Liu. STATISTICAL ENSEMBLES IN INTEGRABLE HAMILTONIAN SYSTEMS WITH PERIODIC FORCED TERMS[J]. Journal of Applied Analysis & Computation, 2024, 14(2): 1133-1147. doi: 10.11948/20230402
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