Spatiotemporal complexity in a diffusive Brusselator model

Fu, Xiaoxue; Wu, Ranchao; Chen, Mengxin; Liu, Hongxia

doi:10.1007/s10910-021-01291-x

Cited by 5 publications

(1 citation statement)

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“…Ma [13] has studied the stochastic hopf bifurcation of a Brusselator system. Fu et al [14] have investigated bifurcation in a diffusive Brusselator model. On the other hand, due to their efficient computing results and rich dynamical behavior, discrete models governed by difference equations are more appropriate than continuous models [15].…”

Section: Review Of Literature and Statement Of The Problemmentioning

confidence: 99%

Stability, Chaos, and Bifurcation Analysis of a Discrete Chemical System

2022

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The local dynamics, chaos, and bifurcations of a discrete Brusselator system are investigated. It is shown that a discrete Brusselator system has an interior fixed point P 1 , r if r > 0 . Then, by linear stability theory, local dynamical characteristics are explored at interior fixed point P 1 , r . Furthermore, for the discrete Brusselator system, the existence of periodic points is investigated. The existence of bifurcations around an interior fixed point is also investigated and proved that the discrete Brusselator model undergoes hopf and flip bifurcations if r , h ∈ ℋℬ | P 1 , r = r , h , h = 2 − r and r , h ∈ ℱℬ | P 1 , r = r , h , h = 4 / 2 − r − r 2 − 4 r , respectively. The next feedback control method is utilized to stabilize the chaos that exists in the discrete Brusselator system. Finally, obtained results are verified numerically.

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Section: Review Of Literature and Statement Of The Problemmentioning

confidence: 99%