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- W2034615008 abstract "One of the simplest topological variations of the phase space of a one-parameter family of differential equations (vector fields, flows) is the creation of periodic orbits from equilibria as the parameter crosses a critical value. The study of such topological variations about an equilibrium was initiated and developed by Poincare perhaps 90 years ago and belongs today to the classical theory of periodic solutions. It was Hopf [23] who presented the bifurcation theorem in 1942 and it is now commonly known as the Hopf bifurcation theorem. Specifically, consider a one-parameter family of ODE (ordinary differential equations)" @default.
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- W2034615008 date "1977-10-01" @default.
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- W2034615008 title "Integral averaging and bifurcation" @default.
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- W2034615008 doi "https://doi.org/10.1016/0022-0396(77)90101-2" @default.
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