Proof of Theorem 3.1

Albert C. J. Luo ()
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Albert C. J. Luo: Southern Illinois University Edwardsville, Department of Mechanical and Mechatronics Engineering

Chapter Chapter 4 in 1-dimensional Flow Arrays and Bifurcations in Planar Polynomial Systems, 2024, pp 249-336 from Springer

Abstract: Abstract In this chapter, the proof of Theorem 3.1 is completed. In this proof, the 1-diemensional flows are determined, and the bifurcation mechanisms of singular 1-dimensional source, sink and saddle flows with parabola and inflection flows are developed for a better understanding the bifurcation complexity in polynomial systems.

Date: 2024
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DOI: 10.1007/978-981-97-2204-4_4

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