On the impulse stabilization of the Lorenz system

The concepts of chaotic systems and systems of differential equations with impulsive action are formulated. A method for stabilizing the zero solution of the chaotic Lorenz system by means of impulsive actions that occur on a certain set of the phase space is proposed.

Authors

Alexander O. Ignatyev (ORCID: https://orcid.org/0000-0002-6459-2565)

Institutions

Institute of Applied Mathematics and Mechanics (UA)

Publication Details

Journal: Izvestiya Vysshikh Uchebnykh Zavedenii Matematika
Published: 2025-05-24
DOI: https://doi.org/10.26907/0021-3446-2025-5-58-67
Primary Topic: Chaos control and synchronization
Type: article
Field-Weighted Citation Impact: 0.00

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article

On the impulse stabilization of the Lorenz system

Alexander O. Ignatyev

May 24, 2025

Izvestiya Vysshikh Uchebnykh Zavedenii Matematika

Chaos control and synchronization

article

On the impulse stabilization of the Lorenz system

Alexander O. Ignatyev

May 24, 2025article en

Abstract

Izvestiya Vysshikh Uchebnykh Zavedenii Matematika(5)

Institute of Applied Mathematics and Mechanics (UA)

Openalex Percentile: Top 91%

Chaos control and synchronization

DOI Open Access PDF OpenAlex

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On the impulse stabilization of the Lorenz system — Alexander O. Ignatyev · Izvestiya Vysshikh Uchebnykh Zavedenii Matematika (2025) | TGRS Research Map | TGRS