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Die Reihenfolge beginnt mit dem "Two-Dimensional Self and Product Polynomial Systems". sollte mit diesem Band von Albert C. J. Luo beginnen. Die Reihe endet vorerst mit diesem Titel.
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- Start der Reihe: 02.09.2024
- Neueste Folge: 24.12.2025
- Autor: Luo, Albert C. J.
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- Medium: Digital
- Veröffentlicht: 26.12.2025
- Genre: Sonstiges
Two-Dimensional Self and Product Polynomial Systems
This book is a monograph about hybrid networks of singular and non-singular, 1-dimensional flows and equilibriums in self and product polynomial systems. The higher-order singular 1-dimensional flows and singular equilibriums are for the appearing bifurcations of lower-order singular and non-singular 1-dimesnional flows and equilibriums. The infinite-equilibriums are the switching bifurcations for two associated networks of singular and non-singular, 1-dimensional flows and equilibriums. The corresponding mathematical conditions are presented, and the theory for nonlinear dynamics of self 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 1-diemsnional flows and equilibriums are completed, and the sampled networks of non-singular 1-dimensional flows and equilibriums are presented.