具有扩散项的最简沉积物模型的Turing-Hopf分支OA
Turing-Hopf bifurcation of a minimal sediment model with diffusion
提出了一类带有扩散项的最简沉积物模型.首先研究了模型Turing-Hopf分支现象的存在性;其次给出了模型在Turing-Hopf分支点处的规范型;最后利用数值结果分析了模型的动力学行为.研究结果表明,在Turing-Hopf分支点附近,模型呈现出丰富的时空动力学行为,包括空间齐次周期解、空间非齐次周期解以及空间非齐次平衡态解.
A minimal sediment model with diffusion is proposed.Firstly,the existence of Turing-Hopf bifurcation for the model is investigated;Secondly,the normal form of model at the Turing-Hopf bifurcation point is derived;Finally,the dynamics of model are analyzed by means of numerical results.The research indicates that near the Turing-Hopf bifurcation point,the model exhibits rich spatiotemporal dynamics,including the spatially homogeneous periodic solutions,spatially inhomogeneous periodic solutions and spatially inhomogeneous steady-state solutions.
王晶晶
西安财经大学数学学院,陕西 西安 710100
数理科学
最简沉积物模型Turing-Hopf分支规范型时空动力学
minimal sediment modelTuring-Hopf bifurcationnormal formspatiotemporal dynamics
《中山大学学报（自然科学版）（中英文）》 2026 (5)
159-167,9
国家自然科学基金(12461097)
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