Two-dimensional self and product polynomial systems Albert C.J. Luo

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 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

Contents:

Self and Product Polynomial Systems

Proof of Theorem 1.1

Singular Equilibria and Flows, and Simple Networks

Notes:

Includes index

Online resource; title from PDF title page (SpringerLink, viewed May 12, 2026)

ISBN:

9789819654833

9819654831

OCLC:

1591226238

Access Restriction:

Restricted for use by site license