Journal
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
Volume 29, Issue 2, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218348X21500341
Keywords
Fractal Toda Equation; Two-Scale Transform; Chebyshev Polynomials of the First Kind; Equivalent Power-Form Weighted Approach
Funding
- Tecnologico de Monterrey-Campus Monterrey, through the Research Group in Nanotechnology and Devices Design
- Consejo Nacional de Ciencia y Tecnologia de Mexico (Conacyt) [242269, 255837, 296176]
- National Lab in Additive Manufacturing, 3D Digitizing and Computed Tomography (MADiT) [LN299129]
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This paper investigates the power-form representation and transient fractal response of the Toda oscillator, finding that the oscillator frequency increases with the fractal exponent alpha.
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 alpha, the frequency of the Toda oscillator increases.
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