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- W2972226649 abstract "We study spiral waves in a mathematical model of a nonlinear optical system with a feedback loop. Starting from a delayed scalar diffusion equation in a thin annulus with oblique derivative boundary conditions, we shrink the annulus and derive the limiting equation on a circle. Based on the explicitly constructed normal form of the Hopf bifurcation for the one-dimensional delayed scalar diffusion equation, we make predictions about the existence and stability of two-dimensional spirals that we verify in direct numerical simulations, observing pulsating and rotating spiral waves." @default.
- W2972226649 created "2019-09-12" @default.
- W2972226649 creator A5014714056 @default.
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- W2972226649 date "2019-09-06" @default.
- W2972226649 modified "2023-09-27" @default.
- W2972226649 title "Pulsating and rotating spirals in a delayed feedback diffractive nonlinear optical system" @default.
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