EQUIVALENT POWER-FORM REPRESENTATION OF THE FRACTAL TODA OSCILLATOR

ELà AS-ZÚÑIGA Alex, Luis Manuel Palacios-Pineda, Isaac H. Jimã‰nez-Cedeã‘o (), Oscar Martã Nez-Romero () and Daniel Olvera Trejo ()
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ELà AS-ZÚÑIGA Alex: 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. Jimã‰nez-Cedeã‘o: 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

FRACTALS (fractals), 2021, vol. 29, issue 02, 1-10

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.

Keywords: Fractal Toda Equation; Two-Scale Transform; Chebyshev Polynomials of the First Kind; Equivalent Power-Form Weighted Approach (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:02:n:s0218348x21500341

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DOI: 10.1142/S0218348X21500341

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