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Two-dimensional crossing and product polynomial systems Albert C.J. Luo
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2026 English International Available online
View online- Format:
- Book
- Author/Creator:
- Luo, Albert C. J., author.
- Series:
- Oregon State monographs. Mathematics and statistics series
- Mathematics and Statistics Series
- Language:
- English
- Subjects (All):
- Polynomials.
- Physical Description:
- 1 online resource
- Edition:
- 1st ed.
- Place of Publication:
- Singapore Springer [China] Higher Education Press Limited Company [2026]
- Summary:
- This book is about hybrid networks of singular and non-singular, one-dimensional flows and equilibriums in crossing and product polynomial systems. The singular equilibriums and one-dimensional flows with infinite-equilibriums in product polynomial systems are presented in the theorem. The singular equilibriums are singular saddles and centers, parabola-saddles, and double-inflection-saddles. The singular one-dimensional flows are singular hyperbolic-flows, hyperbolic-to-hyperbolic-secant flows, inflection-source and sink flows, and inflection-saddle flows. The higher-order singular one-dimensional flows and singular equilibriums are for the appearing bifurcations of lower-order singular and non-singular one-dimensional flows and equilibriums. The infinite-equilibriums are the switching bifurcations for two associated networks of singular and non-singular, one-dimensional flows and equilibriums. The corresponding mathematical conditions are presented, and the theory for nonlinear dynamics of crossing and product polynomial systems is presented through a theorem. The mathematical proof is completed through the local analysis and the first integral manifolds. The illustrations of singular one-dimensional flows and equilibriums are completed, and the sampled networks of non-singular one-dimensional flows and equilibriums are presented in this book.
- Contents:
- Constant and Product Polynomial Systems
- Proof of Theorem
- Singular flows bifurcaions and networks
- Notes:
- Includes index
- Online resource; title from PDF title page (SpringerLink, viewed May 26, 2026)
- ISBN:
- 9789819657155
- 9819657156
- OCLC:
- 1592877762
- Access Restriction:
- Restricted for use by site license
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