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: Russian Mathematics
Published: 2025-05-01
DOI: https://doi.org/10.3103/s1066369x25700392
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 1, 2025

Russian Mathematics

Chaos control and synchronization

article

On the Impulse Stabilization of the Lorenz System

Alexander O. Ignatyev

May 1, 2025article en

Abstract

Russian MathematicsVol. 69(5)

Institute of Applied Mathematics and Mechanics (UA)

Affordable and clean energy

Openalex Percentile: Top 86%

Chaos control and synchronization

DOI Source OpenAlex

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On the Impulse Stabilization of the Lorenz System — Alexander O. Ignatyev · Russian Mathematics (2025) | TGRS Research Map | TGRS