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Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol VI

Name: Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol VI
Brand: Springer, Berlin
SKU: 9783031571152
Price: 3654 CZK
Availability: InStock

Autor: Albert C. J. Luo

Jazyk:

Vazba: Pevná

Vydavatel: Springer, Berlin

Dostupnost: Skladem u dodavatele

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This book, the sixth of 15 related monographs, discusses singularity and networks of equilibriums an...

Informace o knize

Autor

Albert C. J. Luo

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2024

Stránek

304

EAN

9783031571152

Enbook ID

45117053

Vydavatel

Springer, Berlin

Hmotnost

622

Rozměry

155 x 235

Kompletní popis

This book, the sixth of 15 related monographs, discusses singularity and networks of equilibriums and 1-diemsnional flows in product quadratic and cubic systems. The author explains how, in the networks, equilibriums have source, sink and saddles with counter-clockwise and clockwise centers and positive and negative saddles, and the 1-dimensional flows includes source and sink flows, parabola flows with hyperbolic and hyperbolic-secant flows. He further describes how the singular equilibriums are saddle-source (sink) and parabola-saddles for the appearing bifurcations, and the 1-dimensional singular flows are the hyperbolic-to-hyperbolic-secant flows and inflection source (sink) flows for 1-dimensional flow appearing bifurcations, and the switching bifurcations are based on the infinite-equilibriums, including inflection-source (sink), parabola-source (sink), up-down and down-up upper-saddle (lower-saddle), up-down (down-up) sink-to-source and source-to-sink, hyperbolic and hyperbolic-secant saddles. The diagonal-inflection upper-saddle and lower-saddle infinite-equilibriums are for the double switching bifurcations. The networks of hyperbolic flows with connected saddle, source and center are presented, and the networks of the hyperbolic flows with paralleled saddle and center are also illustrated. Readers will learn new concepts, theory, phenomena, and analysis techniques. Product-quadratic and product cubic systemsSelf-linear and crossing-quadratic product vector fields Self-quadratic and crossing-linear product vector fields Hybrid networks of equilibriums and 1-dimensional flows Up-down and down-up saddle infinite-equilibriums Up-down and down-up sink-to-source infinite-equilibriums Inflection-source (sink) Infinite-equilibriums Diagonal inflection saddle infinite-equilibriums Infinite-equilibrium switching bifurcations

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Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol VI

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