Discretization, bifurcation analysis and chaos control for Schnakenberg model
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Publication:2201023
DOI10.1007/s10910-020-01154-xzbMath1447.39008OpenAlexW3037728914MaRDI QIDQ2201023
Publication date: 24 September 2020
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-020-01154-x
stabilitychaos controlNeimark-Sacker bifurcationSchnakenberg modelperiod-doubling bifurcationnonstandard finite difference scheme
Medical applications (general) (92C50) General biology and biomathematics (92B05) Applications of difference equations (39A60) Bifurcation theory for difference equations (39A28)
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Cites Work
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- The bifurcation analysis of Turing pattern formation induced by delay and diffusion in the Schnakenberg system
- Application of discontinuous Galerkin methods for reaction-diffusion systems in developmental biology
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Applications of centre manifold theory
- Diffusion driven instability in an inhomogeneous domain
- Hybrid control of period-doubling bifurcation and chaos in discrete nonlinear dynamical systems
- A novel chaos control strategy for discrete-time Brusselator models
- Bifurcation analysis and chaos control in discrete-time system of three competing species
- Existence and stability of one-peak symmetric stationary solutions for the Schnakenberg model with heterogeneity
- Bifurcation analysis and chaos control in discrete-time glycolysis models
- Stability analysis of Turing patterns generated by the Schnakenberg model
- Uniqueness and global attractivity of glycolytic oscillations suggested by Selkov's model
- Complexity and chaos control in a discrete-time prey-predator model
- Bifurcation, invariant curve and hybrid control in a discrete-time predator-prey system
- Transient behaviour in RDA systems of the Schnakenberg type
- Pattern formation of a coupled two-cell Schnakenberg model
- Organization of the periodicity in the parameter-space of a glycolysis discrete-time mathematical model
- Bifurcation analysis of reaction-diffusion Schnakenberg model
- Analysis of a Model for Complex Skin Patterns
- Computation of the Stability Condition for the Hopf Bifurcation of Diffeomorphisms on $\mathbb{R}^2 $
- Controlling chaos
- Concentration fluctuations in a mesoscopic oscillating chemical reaction system
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- On the Poincaré–Hill cycle map of rotational random walk: locating the stochastic limit cycle in a reversible Schnakenberg model
- Neimark-Sacker bifurcation and chaos control in Hassell-Varley model
- Controlling chaotic dynamical systems
