Two-dimensional Product-Cubic Systems, Vol. IV
Crossing-quadratic Vector Fields
Springer International Publishing
ISBN 978-3-031-57104-6
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Bibliografische Daten
eBook. PDF
2024
X, 256 p. 42 illus., 41 illus. in color..
In englischer Sprache
Umfang: 256 S.
Verlag: Springer International Publishing
ISBN: 978-3-031-57104-6
Produktbeschreibung
This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink). The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include:
- Parabola-source (sink) infinite-equilibriums,
- Inflection-source (sink) infinite-equilibriums,
- Hyperbolic (circular) sink-to source infinite-equilibriums,
- Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums.
- Develops a theory of cubic dynamical systems having a product-cubic vector field and a crossing-quadratic vector field;
- Shows equilibriums and paralleled hyperbolic and hyperbolic-secant flows with switching though infinite-equilibriums;
- Presents CCW and CW centers separated by a paralleled hyperbolic flow and positive and negative saddles.
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