Abstract
AbstractThis manuscript puts forward the chaos controlling in the dynamics of the generalized Lotka-Volterra biological system. Firstly, the phase diagrams and Lyapunov exponents are presented to illustrate the chaotic behaviour of generalized Lotka-Volterra system. Secondly, a parameter identification method has been investigated for chaos control in the given system using hybrid projective difference combination synchronization technique. The discussed approach derives the global asymptotical stability condition using Lyapunov stability theory. Numerical simulation is performed via MATLAB environment to depict the efficacy of the discussed control function design. Remarkably, both our theoretical and computational results are in complete agreement.KeywordsChaotic systemCombination synchronizationDifference synchronizationParameter identification methodHybrid projective synchronizationGeneralized Lotka-Volterra system
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