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Stability Analysis and Inverse Matrix Projective Anti-synchronization of Chaotic Systems. / Мокаев, Тимур Назирович; Shukla, Vijay; Pandey, Arun.

в: Journal of Vibration Testing and System Dynamics, Том 10, № 3, 01.09.2026, стр. 247-258.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Мокаев, ТН, Shukla, V & Pandey, A 2026, 'Stability Analysis and Inverse Matrix Projective Anti-synchronization of Chaotic Systems', Journal of Vibration Testing and System Dynamics, Том. 10, № 3, стр. 247-258. https://doi.org/10.5890/JVTSD.2026.09.003

APA

Мокаев, Т. Н., Shukla, V., & Pandey, A. (Принято в печать). Stability Analysis and Inverse Matrix Projective Anti-synchronization of Chaotic Systems. Journal of Vibration Testing and System Dynamics, 10(3), 247-258. https://doi.org/10.5890/JVTSD.2026.09.003

Vancouver

Мокаев ТН, Shukla V, Pandey A. Stability Analysis and Inverse Matrix Projective Anti-synchronization of Chaotic Systems. Journal of Vibration Testing and System Dynamics. 2026 Сент. 1;10(3):247-258. https://doi.org/10.5890/JVTSD.2026.09.003

Author

Мокаев, Тимур Назирович ; Shukla, Vijay ; Pandey, Arun. / Stability Analysis and Inverse Matrix Projective Anti-synchronization of Chaotic Systems. в: Journal of Vibration Testing and System Dynamics. 2026 ; Том 10, № 3. стр. 247-258.

BibTeX

@article{5db8aab86b9f4e73b701683701b16311,
title = "Stability Analysis and Inverse Matrix Projective Anti-synchronization of Chaotic Systems",
abstract = "This paper investigates the stability and synchronization of Li system by combining Jacobi stability analysis within the Kosambi-Cartan-Chern (KCC) framework and inverse matrix projective anti-synchronization (IMPAS) scheme. First, we extend Jacobi stability criteria to a broad class of nonlinear dynamical systems and derive general conditions that complement conventional Lyapunov analysis. Second, we propose an IMPAS controller that simplifies the synchronization of chaotic systems through an arbitrary scaling matrix. Numerical simulations confirm the theoretical predictions and illustrate the practical effectiveness of the method. The results deepen our geometric understanding of stability and broaden the tool for controlling real-world nonlinear systems.",
keywords = "Anti-synchronization, Inverse matrix projective, Jacobi stability analysis, KCC theory",
author = "Мокаев, {Тимур Назирович} and Vijay Shukla and Arun Pandey",
year = "2025",
month = oct,
day = "21",
doi = "10.5890/JVTSD.2026.09.003",
language = "English",
volume = "10",
pages = "247--258",
journal = "Journal of Vibration Testing and System Dynamics",
issn = "2475-4811",
publisher = "L & H Scientific Publishing, LLC",
number = "3",

}

RIS

TY - JOUR

T1 - Stability Analysis and Inverse Matrix Projective Anti-synchronization of Chaotic Systems

AU - Мокаев, Тимур Назирович

AU - Shukla, Vijay

AU - Pandey, Arun

PY - 2025/10/21

Y1 - 2025/10/21

N2 - This paper investigates the stability and synchronization of Li system by combining Jacobi stability analysis within the Kosambi-Cartan-Chern (KCC) framework and inverse matrix projective anti-synchronization (IMPAS) scheme. First, we extend Jacobi stability criteria to a broad class of nonlinear dynamical systems and derive general conditions that complement conventional Lyapunov analysis. Second, we propose an IMPAS controller that simplifies the synchronization of chaotic systems through an arbitrary scaling matrix. Numerical simulations confirm the theoretical predictions and illustrate the practical effectiveness of the method. The results deepen our geometric understanding of stability and broaden the tool for controlling real-world nonlinear systems.

AB - This paper investigates the stability and synchronization of Li system by combining Jacobi stability analysis within the Kosambi-Cartan-Chern (KCC) framework and inverse matrix projective anti-synchronization (IMPAS) scheme. First, we extend Jacobi stability criteria to a broad class of nonlinear dynamical systems and derive general conditions that complement conventional Lyapunov analysis. Second, we propose an IMPAS controller that simplifies the synchronization of chaotic systems through an arbitrary scaling matrix. Numerical simulations confirm the theoretical predictions and illustrate the practical effectiveness of the method. The results deepen our geometric understanding of stability and broaden the tool for controlling real-world nonlinear systems.

KW - Anti-synchronization

KW - Inverse matrix projective

KW - Jacobi stability analysis

KW - KCC theory

UR - https://www.mendeley.com/catalogue/52c5f109-d3cb-3ee2-ae76-8af23f7b05f0/

U2 - 10.5890/JVTSD.2026.09.003

DO - 10.5890/JVTSD.2026.09.003

M3 - Article

VL - 10

SP - 247

EP - 258

JO - Journal of Vibration Testing and System Dynamics

JF - Journal of Vibration Testing and System Dynamics

SN - 2475-4811

IS - 3

ER -

ID: 150474245