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- W2317885733 abstract "We performed an investigation of the stability of fixed points in the complex Swift- Hohenberg equation using a variational formulation. The analysis is based on fixed points Euler-Lagrange equations and analytically showed that the Jacobian eigenvalues touched the imaginary axis and in general, Hopf bifurcation arises. The eigenvalues undergo a stability criterion in order to have Hopf's stability. Trial functions and linear loss dispersion parameter ε are responsible for the existence of stable pulse solutions in this system. We study behavior of the stable soliton-like solutions as we vary a bifurcation ε." @default.
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- W2317885733 date "2016-02-01" @default.
- W2317885733 modified "2023-10-16" @default.
- W2317885733 title "Stability of the fixed points of the complex Swift-Hohenberg equation" @default.
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- W2317885733 doi "https://doi.org/10.1088/1742-6596/693/1/012003" @default.
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