Lyapunov-Based Generalized Function Projective Synchronization of Discrete-Time Chaotic Systems with Different Dimensions

Authors: Ghanshyam Prasad, Lokesh Kumar

DOI: https://doi.org/10.37082/IJIRMPS.v12.i1.233036

Short DOI: https://doi.org/hbvqph

Country: India

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Abstract: This paper develops a novel framework for generalized function projective synchronization (GFPS) in discrete-time chaotic systems with mismatched dimensions. By constructing appropriate nonlinear controllers and employing Lyapunov stability theory, sufficient conditions for global asymptotic synchronization are derived in the form of tractable algebraic criteria. Unlike existing approaches that primarily address continuous-time systems or identical-dimensional models, the proposed method extends GFPS to heterogeneous discrete systems. Numerical simulations using 3D Hénon-like and Fold maps validate the theoretical results and demonstrate rapid convergence of synchronization errors. The proposed scheme is simple, robust, and suitable for practical applications in secure communication and nonlinear signal processing.

Keywords: generalized function projective synchronization, discrete-time chaotic systems, Lyapunov stability, chaos synchronization

Paper Id: 233036

Published On: 2024-01-11

Published In: Volume 12, Issue 1, January-February 2024

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