On the Poisson Stability to Study a Fourth-Order Dynamical System with Quadratic Nonlinearities

Alexander N. Pchelintsev
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Alexander N. Pchelintsev: Department of Higher Mathematics, Tambov State Technical University, ul. Sovetskaya 106, 392000 Tambov, Russia

Mathematics, 2021, vol. 9, issue 17, 1-18

Abstract: This article discusses the search procedure for Poincaré 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.

Keywords: attractor; Poisson stability; Lyapunov exponents (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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