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Introduction to Bifurcation Theory

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A Short Course in Ordinary Differential Equations

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Abstract

One-dimensional bifurcations are discussed for scalar equations and planar systems. Results on Hopf bifurcations for planar systems are derived using the Lyapunov function method and the Friedrich method.

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Kong, Q. (2014). Introduction to Bifurcation Theory. In: A Short Course in Ordinary Differential Equations. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-11239-8_5

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