Abstract
Let ẋ= f (x) be a fundamental system and let ẋ = f ⅅ(x) be its Poincaré compactification. In this chapter we describe all the global phase portraits of the compactified system ẋ = fⅅ (x) and we study how they vary with the parameters (D, T, d, t). Using the topological equivalence relation, we present the bifurcation set in the fundamental parameter space ℝ4.
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© 2014 Springer Basel
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Llibre, J., Teruel, A.E. (2014). Phase Portraits. In: Introduction to the Qualitative Theory of Differential Systems. Birkhäuser Advanced Texts Basler Lehrbücher. Springer, Basel. https://doi.org/10.1007/978-3-0348-0657-2_5
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DOI: https://doi.org/10.1007/978-3-0348-0657-2_5
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Publisher Name: Springer, Basel
Print ISBN: 978-3-0348-0656-5
Online ISBN: 978-3-0348-0657-2
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