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Poincaré-Andronov-Hopf Bifurcation

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2117)

Abstract

Without parameters, no periodic orbits bifurcate. Depending on the drift condition, two cases appear. Both are discussed in this chapter.

Keywords

  • Periodic Orbit
  • Normal Form
  • Hopf Bifurcation
  • Bifurcation Point
  • Unstable Manifold

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Fig. 5.1
Fig. 5.2

References

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Liebscher, S. (2015). Poincaré-Andronov-Hopf Bifurcation. In: Bifurcation without Parameters. Lecture Notes in Mathematics, vol 2117. Springer, Cham. https://doi.org/10.1007/978-3-319-10777-6_5

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