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Dissipative hydrodynamic oscillators

VII.-The two-component Lorenz model as a Duffing oscillator, and integrability

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Il Nuovo Cimento D

Summary

Suitable transformations are used to convert the two-component Lorenz model for double-diffusion, Soret-driven convection and the laser with saturable absorber into either a Duffing oscillator equation or a system of two coupled Duffing oscillators. Then we discuss the range of parameter values where complete integration is possible.

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Authors and Affiliations

  1. Departmento de Física e Instalaciones, E.T.S. de Arquitectura, Universidad Politécnica de Madrid, 28040, Madrid, Spain

    M. A. F. Sanjuán

  2. Facultad de Ciencias, Universidad Nacional de Educación a Distancia, Apartado 60141, 28080, Madrid, Spain

    J. L. Valero & M. G. Velarde

Authors
  1. M. A. F. Sanjuán
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  2. J. L. Valero
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  3. M. G. Velarde
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Sanjuán, M.A.F., Valero, J.L. & Velarde, M.G. Dissipative hydrodynamic oscillators. Il Nuovo Cimento D 13, 913–918 (1991). https://doi.org/10.1007/BF02457178

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  • DOI: https://doi.org/10.1007/BF02457178

PACS 47.20

PACS 47.25

PACS 42.55

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