Extreme fractal dimension at periodicity cascades in parameter spaces
In the parameter spaces of nonlinear dynamical systems, we investigate the boundaries
between periodicity and chaos and unveil the existence of fractal sets characterized by a …
between periodicity and chaos and unveil the existence of fractal sets characterized by a …
Geomagnetic reversals at the edge of regularity
Geomagnetic field reversals remain as one of the most intriguing problems in geophysics
and are regarded as chaotic processes resulting from a dynamo mechanism. In this article …
and are regarded as chaotic processes resulting from a dynamo mechanism. In this article …
Singular fractal dimension at periodicity cascades in parameters spaces
CEP Abreu, JDV Hermes, DR da Costa… - arxiv preprint arxiv …, 2024 - arxiv.org
In the parameter spaces of nonlinear dynamical systems, we investigate the boundaries
between periodicity and chaos and unveil the existence of fractal sets characterized by a …
between periodicity and chaos and unveil the existence of fractal sets characterized by a …
A connection between Lyapunov exponents and sensitive dependence on parameters of chaotic systems
SWS Costiche, CH Coimbra-Araújo… - Available at SSRN …, 2022 - papers.ssrn.com
The sensitive dependence of chaos on parameters is a topic of great interest in the study of
integrability and stability of dynamical systems. Previous work has proposed ways to identify …
integrability and stability of dynamical systems. Previous work has proposed ways to identify …