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Stochasticity thresholds for systems of coupled oscillators

Стохастические пороги для систем связанных осцилляторов

  • Published:
Il Nuovo Cimento B (1971-1996)

a Carlo Cercignani, Luciana Savignano e Antonio Scotti

Summary

We give a numerical estimate for the critical energy as a function of frequency, which describes the border of stochasticity for a system of coupled oscillators. The results are given for the model of a chain of particles with nearest-neighbour Lennard-Jones interaction.

Riassunto

Si dà una stima numerica per l'energia critica in funzione della frequenza, descrivente il bordo di stocasticità per un sistema di oscillatori accoppiati. Si danno i risultati per una catena di particelle con interazione di Lennard-Jones a primi vicini.

Резюме

Мы приводим численную оценку для критической энергии, как функции частоты, которая описывает границу стохастичности для системы связанных осцилляторов. Приводястя результаты для модели цепочки частиц с взаимодействием Леннарда-Джонса между ближайшими соседями.

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References

  1. L. Galgani andA. Scotti:Riv. Nuovo Cimento,2, 189 (1972);L. Galgani:Scientia,110, 483 (1975).

    Article  MathSciNet  Google Scholar 

  2. E. Fermi, J. Pasta andS. Ulam, inE. Fermi:Collected Papers (Chicago, Ill., 1965), p. 978.

  3. P. Bocchieri, A. Scotti, B. Bearzi andA. Loinger:Phys. Rev. A,2, 2013 (1970).

    Article  ADS  Google Scholar 

  4. E. Diana, L. Galgani, M. Casartelli, G. Casati andA. Scotti:Teor. Mat. Fis.,29, 213 (1976), in Russian (English translation:Theor. Math. Phys.,29, 1022 (1977)).

    Google Scholar 

  5. M. C. Carotta, C. Ferrario, G. LoVecchio andL. Galgani:Phys. Rev. A,17 786 (1978).

    Article  ADS  Google Scholar 

  6. F. M. Izrailev andB. V. Chirikov:Sov. Phys. Dokl.,11, 30 (1966).

    ADS  Google Scholar 

  7. B. V. Chirikov, F. M. Izrailev andV. A. Tayurski:Comp. Phys. Comm.,5, 11 (1973).

    Article  ADS  Google Scholar 

  8. C. Cercignani, L. Galgani andA. Scotti:Phys. Lett.,38 A, 403 (1972).

    Article  ADS  Google Scholar 

  9. W. Nernst:Ver. D. Phys. Ges.,4, 83 (1916).

    Google Scholar 

  10. G. Benettin, L. Galgani andJ.-M. Strelcyn:Phys. Rev. A,14, 2338 (1976).

    Article  ADS  Google Scholar 

  11. G. Benettin, L. Galgani, A. Giorgilli andJ.-M. Strelcyn:Compt. Rend.,286 A, 431 (1978).

    MathSciNet  ADS  Google Scholar 

  12. G. Benettin, L. Galgani, A. Giorgilli andJ.-M. Strelcyn:All Lyapunov characteristic numbers are effectively computable, preprint.

  13. G. Contopoulos, L. Galgani andA. Giorgilli:Phys. Rev. A,18, 1183 (1978).

    Article  ADS  Google Scholar 

  14. G. Benettin, G. Lo Vecchio andA. Tenenbaum: in preparation.

  15. B. Callegari, M. C. Carotta, C. Ferrario, G. Lo Vecchio andL. Galgani: in preparation.

  16. L. Galgani, A. Giorgilli andH. Sabata: in preparation.

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Galgani, L., Lo Vecchio, G. Stochasticity thresholds for systems of coupled oscillators. Nuov Cim B 52, 1–14 (1979). https://doi.org/10.1007/BF02743565

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  • DOI: https://doi.org/10.1007/BF02743565

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