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- W4200327712 abstract "The dynamics research of cerebral cortex activity is an important part of neuroscience. A previous work (Proc. Natl. Acad. Sci. USA 115 (2018) E1356-E1365) put forward a cortex dynamics model based on Landau–Ginzburg theory and it generated an oscillation and bistability. However, the full dynamics of cerebral cortex is still ill-defined. In this paper, we rigorously prove that this model can undergo Bogdanov–Takens bifurcation of codimension 2, Bogdanov–Takens bifurcations of codimension 3 with cusp, focus and elliptic types, and doubly degenerate Bogdanov–Takens bifurcation of codimension 4. Our work complements and enriches the results in the field of cerebral cortex activity." @default.
- W4200327712 created "2021-12-31" @default.
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- W4200327712 date "2022-05-01" @default.
- W4200327712 modified "2023-09-24" @default.
- W4200327712 title "Nilpotent singularities and bifurcations structure of the Landau–Ginzburg theory of cortex dynamics" @default.
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- W4200327712 doi "https://doi.org/10.1016/j.aml.2021.107854" @default.
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