Oscillatory Motions of Multiple Spikes in Three-Component Reaction–Diffusion Systems-Reference-Cited by-同舟云学术

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Oscillatory Motions of Multiple Spikes in Three-Component Reaction–Diffusion Systems

Published:2024-06-28 Issue:4 Volume:34 Page:
ISSN:0938-8974
Container-title:Journal of Nonlinear Science
language:en
Short-container-title:J Nonlinear Sci

Author:

Xie Shuangquan,Yang Wen,Zhang Jiaojiao

Funder

Science and Technology Bureau, Changsha

Science and Technology Bureau of Hunan Province

National Key Research and Development Program of China

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s00332-024-10058-y.pdf

Reference37 articles.

1. Al Saadi, F., Gai, C., Nelson, M.: Localized pattern formation: semi-strong interaction asymptotic analysis for three components model. Proc. R. Soc. A 480(2281), 20230591 (2024)

2. Bastiaansen, R., Doelman, A.: The dynamics of disappearing pulses in a singularly perturbed reaction-diffusion system with parameters that vary in time and space. Phys. D Nonlinear Phenom. 388, 45–72 (2019)

3. Chen, W., Ward, M.J.: Oscillatory instabilities and dynamics of multi-spike patterns for the one-dimensional Gray-Scott model. Eur. J. Appl. Math. 20(2), 187–214 (2009)

4. Chen, W., Ward, M.J.: The stability and dynamics of localized spot patterns in the two-dimensional Gray-Scott model. SIAM J. Appl. Dyn. Syst. 10(2), 582–666 (2011)

5. Chirilus-Bruckner, M., van Heijster, P., Ikeda, H., Rademacher, J.D.: Unfolding symmetric bogdanov-takens bifurcations for front dynamics in a reaction-diffusion system. J. Nonlinear Sci. 29, 2911–2953 (2019)

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