Crossref Citations
This article has been cited by the following publications. This list is generated based on data provided by
Crossref.
Kolokolnikov, Theodore
Ward, Michael J.
and
Wei, Juncheng
2005.
The existence and stability of spike equilibria in the one-dimensional Gray–Scott model: The pulse-splitting regime.
Physica D: Nonlinear Phenomena,
Vol. 202,
Issue. 3-4,
p.
258.
Kolokolnikov, Theodore
Sun, Wentao
Ward, Michael
and
Wei, Juncheng
2006.
The Stability of a Stripe for the Gierer--Meinhardt Model and the Effect of Saturation.
SIAM Journal on Applied Dynamical Systems,
Vol. 5,
Issue. 2,
p.
313.
Jing, Long
and
Jianfu, Yang
2010.
Positive solutions for weakly coupled nonlinear elliptic systems.
Acta Mathematica Scientia,
Vol. 30,
Issue. 5,
p.
1577.
You, Yuncheng
2011.
Dynamics of two-compartment Gray–Scott equations.
Nonlinear Analysis: Theory, Methods & Applications,
Vol. 74,
Issue. 5,
p.
1969.
Kolokolnikov, Theodore
and
Ren, Xiaofeng
2011.
Smoke-Ring Solutions of Gierer–Meinhardt System in $\mathbb{R}^{3}$.
SIAM Journal on Applied Dynamical Systems,
Vol. 10,
Issue. 1,
p.
251.
You, Yuncheng
2011.
Asymptotic dynamics of reversible cubic autocatalytic reaction-diffusion systems.
Communications on Pure & Applied Analysis,
Vol. 10,
Issue. 5,
p.
1415.
Lo, Wing-Cheong
Chen, Long
Wang, Ming
and
Nie, Qing
2012.
A robust and efficient method for steady state patterns in reaction–diffusion systems.
Journal of Computational Physics,
Vol. 231,
Issue. 15,
p.
5062.
You, Yuncheng
2012.
Robustness of Global Attractors for Reversible Gray–Scott Systems.
Journal of Dynamics and Differential Equations,
Vol. 24,
Issue. 3,
p.
495.
You, Yuncheng
2012.
Global dynamics and robustness of reversible autocatalytic reaction–diffusion systems.
Nonlinear Analysis: Theory, Methods & Applications,
Vol. 75,
Issue. 6,
p.
3049.
You, Yuncheng
2014.
Random attractors and robustness for stochastic reversible reaction-diffusion systems.
Discrete & Continuous Dynamical Systems - A,
Vol. 34,
Issue. 1,
p.
301.
Block, M. R.
Destaing, O.
Petropoulos, C.
Planus, E.
Albigès-Rizo, C.
and
Fourcade, B.
2015.
Integrin-mediated adhesion as self-sustained waves of enzymatic activation.
Physical Review E,
Vol. 92,
Issue. 4,
Moyles, Iain R.
and
Ward, Michael J.
2017.
Existence, Stability, and Dynamics of Ring and Near-Ring Solutions to the Saturated Gierer--Meinhardt Model in the Semistrong Regime.
SIAM Journal on Applied Dynamical Systems,
Vol. 16,
Issue. 1,
p.
597.
Castelli, Roberto
2017.
Rigorous Computation of Non-uniform Patterns for the 2-Dimensional Gray-Scott Reaction-Diffusion Equation.
Acta Applicandae Mathematicae,
Vol. 151,
Issue. 1,
p.
27.
Fourcade, B.
2020.
Nonequilibrium biochemical structures in two space dimensions with local activation and regulation.
Physical Review E,
Vol. 101,
Issue. 1,
Feketa, Petro
Schaum, Alexander
and
Meurer, Thomas
2021.
Distributed Parameter State Estimation for the Gray–Scott Reaction-Diffusion Model.
Systems,
Vol. 9,
Issue. 4,
p.
71.
Liang, Jiangyan
Jiang, Ning
Liu, Chun
Wang, Yiwei
and
Zhang, Teng-Fei
2022.
On a reversible Gray-Scott type system from energetic variational approach and its irreversible limit.
Journal of Differential Equations,
Vol. 309,
Issue. ,
p.
427.
Cappanera, Loic
Jaramillo, Gabriela
and
Ward, Cory
2024.
Analysis and Simulation of a Nonlocal Gray–Scott Model.
SIAM Journal on Applied Mathematics,
Vol. 84,
Issue. 3,
p.
856.