EQUIVALENT POWER-FORM REPRESENTATION OF THE FRACTAL TODA OSCILLATOR
Alex Elı́as-Zúñiga, Luis Manuel Palacios-Pineda, Isaac H. Jiménez-Cedeño, Óscar Martínez-Romero, Daniel Olvera-Trejo
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 [Formula: see text], the frequency of the Toda oscillator increases.
Topics & Concepts
FractalExponentRepresentation (politics)MathematicsFractal dimensionToda latticeDimension (graph theory)Power (physics)Mathematical analysisTransient (computer programming)Pure mathematicsStatistical physicsPhysicsQuantum mechanicsComputer scienceIntegrable systemPhilosophyLinguisticsPolitical sciencePoliticsLawOperating systemAdvanced Fiber Laser TechnologiesSemiconductor Lasers and Optical DevicesOptical Polarization and Ellipsometry