Proof of Theorem 1.1

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

Chapter Chapter 2 in Two-Dimensional Constant and Product Polynomial Systems, 2025, pp 39-94 from Springer

Abstract: Abstract In this chapter, the proof of the Theorem 1.1 is completed in detail. The sink and source switch and lower-saddle and upper-saddle switch are proved first. The results of singular hyperbolic flows, inflection-sink, source, and saddle flows, hyperbolic to hyperbolic-secant flows are proved, and the properties of networks of hyperbolic flows, inflection-sink, source, and saddle flows, hyperbolic-to-hyperbolic-secant flows are determined.

Date: 2025
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DOI: 10.1007/978-981-96-5515-1_2

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