Chemical chaos in enzyme kinetics

Abstract

In this paper, the effect of impulsive perturbation on enzyme kinetics is investigated. The impulsive perturbation is affected by introducing periodic constant input. The dynamical behavior of system is simulated and bifurcation diagrams are obtained. The results show that impulsive perturbation can easily give rise to complex dynamics, which includes: quasi-periodic oscillation, periodic doubling cascade, periodic halving cascade, attractor crisis and chaotic bands with periodic windows.