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Effects of multiplicative noise on the Duffing oscillator with variable coefficients and its integral of motion

Author

Listed:
  • E. Urenda-Cázares

    (Departamento de Ciencias Exactas y Tecnología, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, C.P. 47460, Lagos de Moreno, Jalisco, México)

  • A. Gallegos

    (Departamento de Ciencias Exactas y Tecnología, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, C.P. 47460, Lagos de Moreno, Jalisco, México)

  • R. Jaimes-Reátegui

    (Departamento de Ciencias Exactas y Tecnología, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, C.P. 47460, Lagos de Moreno, Jalisco, México)

Abstract

In this work, we implement multiplicative noise to the Duffing oscillator with variable coefficients. The stochastic differential equations are solved using the fourth-order Runge–Kutta method with the Box-Müller algorithm and the corresponding integral of motion is obtained. Some numerical experiments are performed and the results show that the integral of motion is highly unaffected by the multiplicative noise.

Suggested Citation

  • E. Urenda-Cázares & A. Gallegos & R. Jaimes-Reátegui, 2020. "Effects of multiplicative noise on the Duffing oscillator with variable coefficients and its integral of motion," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(07), pages 1-10, July.
    • Handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:07:n:s0129183120500953
    DOI: 10.1142/S0129183120500953
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