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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Research Article

Chaos synchronization of two coupled GLV models using active and adaptive control techniques 

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pp. 1–29Vol. 23Issue 1 & 2November 2025DOI: 10.47974/JDSGT-2021-1001XML
Received:
05 Oct 2021
Published Online:
29 Nov 2025
Article type:
Research Article
Language:
EN
Article no.:
JDSGT-2021-1001
Pages:
1–29

Abstract

This work applies the generalized Lotka Volterra (GLV) model to study complete replacement synchronization in population dynamics. We examine how three functional responses linear and Holling type II and III-affect the system’s overall behaviour. Focusing on the linear functional response, we analyze the model’s analytical and dynamical properties for three parameter sets, demonstrating chaotic oscillations and thus stabilize the unstable fixed points using appropriate controllers. Our results show how chaotic ecological models can help forecast populations of competing species in new habitats when information from a similar system is available. To do this, we construct a drive-response setup by coupling predator populations, where the prey of the drive system acts as the driving variable and predators in the response system feed only on that prey. Using active and adaptive control methods, we achieve synchronization between two coupled GLV models and validate the analytical findings through numerical simulations. 

Keywords

Subject Classifications

34H1037N2537N35

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