Scaling Laws and Convergence Dynamics in a Dissipative Kicked Rotator
Chaotic Dynamics
2024-11-06 v1
Abstract
The kicked rotator model is an essential paradigm in nonlinear dynamics, helping us understand the emergence of chaos and bifurcations in dynamical systems. In this study, we analyze a two-dimensional kicked rotator model considering a homogeneous and generalized function approach to describe the convergence dynamics towards a stationary state. By examining the behavior of critical exponents and scaling laws, we demonstrate the universal nature of convergence dynamics. Specifically, we highlight the significance of the period-doubling bifurcation, showing that the critical exponents governing the convergence dynamics are consistent with those seen in other models.
Keywords
Cite
@article{arxiv.2411.02659,
title = {Scaling Laws and Convergence Dynamics in a Dissipative Kicked Rotator},
author = {Danilo S. Rando and Edson D. Leonel and Diego F. M. Oliveira},
journal= {arXiv preprint arXiv:2411.02659},
year = {2024}
}