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Equivalent Power-Form Representation Of The Fractal Toda Oscillator

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  • ALEX ELà AS-ZÚÑIGA

    (Department of Mechanical Engineering and Advanced Materials, School of Engineering and Science, Tecnologico de Monterrey, Av. E. Garza Sada 2501 Sur, Monterrey, Nuevo León, 64849, México)

  • LUIS MANUEL PALACIOS-PINEDA

    (Department of Mechanical Engineering and Advanced Materials, School of Engineering and Science, Tecnologico de Monterrey, Av. E. Garza Sada 2501 Sur, Monterrey, Nuevo León, 64849, México†Tecnológico Nacional de México/Instituto Tecnológico de Pachuca, Carr. México-Pachuca Km 87.5, Pachuca, Hidalgo, Código Postal 42080, México)

  • ISAAC H. JIMÉNEZ-CEDEÑO

    (Department of Mechanical Engineering and Advanced Materials, School of Engineering and Science, Tecnologico de Monterrey, Av. E. Garza Sada 2501 Sur, Monterrey, Nuevo León, 64849, México)

  • OSCAR MARTÃ NEZ-ROMERO

    (Department of Mechanical Engineering and Advanced Materials, School of Engineering and Science, Tecnologico de Monterrey, Av. E. Garza Sada 2501 Sur, Monterrey, Nuevo León, 64849, México)

  • DANIEL OLVERA TREJO

    (Department of Mechanical Engineering and Advanced Materials, School of Engineering and Science, Tecnologico de Monterrey, Av. E. Garza Sada 2501 Sur, Monterrey, Nuevo León, 64849, México)

Abstract

This paper aims to derive the equivalent power-form representation for the Toda oscillator, which describes the intensity fluctuations of Nd:YAG lasers. A two-scale dimension transform is introduced to study the transient fractal response of Toda oscillator. Numerical simulations indicate that for increasing values of the fractal exponent α, the frequency of the Toda oscillator increases.

Suggested Citation

  • Alex Elã As-Zãšã‘Iga & Luis Manuel Palacios-Pineda & Isaac H. Jimã‰Nez-Cedeã‘O & Oscar Martã Nez-Romero & Daniel Olvera Trejo, 2021. "Equivalent Power-Form Representation Of The Fractal Toda Oscillator," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(02), pages 1-10, March.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:02:n:s0218348x21500341
    DOI: 10.1142/S0218348X21500341
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