On the Poisson Stability to Study a Fourth-Order Dynamical System with Quadratic Nonlinearities
Dynamical Systems
2022-01-03 v1 Numerical Analysis
Numerical Analysis
Chaotic Dynamics
Computational Physics
Abstract
This article discusses the search procedure for the Poincar\'e recurrences to classify solutions on an attractor of a fourth-order nonlinear dynamical system using a previously developed high-precision numerical method. For the resulting limiting solution, the Lyapunov exponents are calculated using the modified Benettin's algorithm to study the stability of the found regime and confirm the type of attractor.
Cite
@article{arxiv.2112.14808,
title = {On the Poisson Stability to Study a Fourth-Order Dynamical System with Quadratic Nonlinearities},
author = {Alexander N. Pchelintsev},
journal= {arXiv preprint arXiv:2112.14808},
year = {2022}
}
Comments
Mathematics, 9:17 (2021), 2057