Scaling Laws and Convergence Dynamics in a Dissipative Kicked Rotator

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 co...

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Bibliographic Details
Published in:arXiv.org 2024-11
Main Authors: Rando, Danilo S, Leonel, Edson D, Oliveira, Diego F M
Format: Article
Language:English
Subjects:
Bifurcations
Convergence
Dynamical systems
Exponents
Nonlinear dynamics
Nonlinear systems
Scaling laws
Two dimensional analysis
Online Access:Get full text
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Summary: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.
ISSN:2331-8422