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A novel conformable fractional approach to the Brusselator system with numerical simulation
In this study, we delve into a comprehensive analysis of the Brusselator system, combining both analytical and numerical approaches. In summary, our...
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Estimation of the Boundary of the Limit Cycle of Brusselator Oscillators by the Renormalization Group Method
In this paper, a method to explore the limit cycle region in the parameter space of a 2 D nonlinear chemical oscillator was provided. Applying the...
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Virtual Element Method for Solving an Inhomogeneous Brusselator Model With and Without Cross-Diffusion in Pattern Formation
The virtual element method (VEM) is a recent technology that can make use of very general polygonal/polyhedral meshes without the need to integrate...
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On Complex Periodic Evolutions of a Periodically Diffused Brusselator
Complex periodic evolutions in a periodically Diffused Brusselator are presented through the generalized harmonic balance method, and the...
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Computational Scheme for the Time-Fractional Reaction–Diffusion Brusselator Model
In this work, we present an adaptation of a new look of the fractional Maclaurin series to study the time-fractional reaction–diffusion Brusselator...
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New conditions for pattern solutions of a Brusselator model
This paper is devoted to establishing a critical value of the concentration of one intermediary reactant which determines whether pattern solutions...
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A Highly Accurate Time–Space Pseudospectral Approximation and Stability Analysis of Two Dimensional Brusselator Model for Chemical Systems
In this paper, the authors investigate the numerical solutions of two-dimensional reaction–diffusion equations with Neumann boundary conditions,...
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Analysis of Spatial Patterns in the Distributed Stochastic Brusselator
Stochastic Brusselator model with the diffusion is studied. We show that in the zone of Turing instability a plethora of heterogeneous wave-like...
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Discontinuous stationary solutions to certain reaction-diffusion systems
Systems consisting of a single ordinary differential equation coupled with one reaction-diffusion equation in a bounded domain and with the Neumann...
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Stochastic bifurcation analysis in Brusselator system with white noise
In this paper, we mainly study the stochastic stability and stochastic bifurcation of Brusselator system with multiplicative white noise. Firstly, by...
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Numerical simulations of reaction–diffusion systems in biological and chemical mechanisms with quartic-trigonometric B-splines
This article concerns with the numerical investigations of the reaction–diffusion systems (RDSs) arising in the study of pattern formation in...
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General conditions for Turing and wave instabilities in reaction -diffusion systems
Necessary and sufficient conditions are provided for a diffusion-driven instability of a stable equilibrium of a reaction–diffusion system with n ...
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Edge of Chaos in Reaction-Diffusion System with Memristor Synapses
In this paper principles of local activity theory will be presented for studying complex behavior of reaction-diffusion systems. For...
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Pattern Formation in a Reaction–Diffusion System with Time-Fractional Derivatives
AbstractIn this paper possible scenarios of pattern formation in nonlinear media with diffusion and differential operators of a noninteger order are...
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A different approach for conformable fractional biochemical reaction—diffusion models
This paper attempts to shed light on three biochemical reaction-diffusion models: conformable fractional Brusselator, conformable fractional...
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Vertex results for the robust analysis of uncertain biochemical systems
We consider the problem of assessing the sensitivity of uncertain biochemical systems in the presence of input perturbations (either constant or...
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An Analytical Studies of the Reaction- Diffusion Systems of Chemical Reactions
Reaction–diffusion systems are seen in not only many fields of science but also social behaviorus. In this work, Schnakenberg, Brusselator and...