
Title:
Two-dimensional Crossing and Product Cubic Systems, Vol. II Crossing-linear and Self-quadratic Product Vector Field
Author:
Luo, Albert C. J. author.
ISBN:
9783031571008
Edition:
1st ed. 2025.
Physical Description:
X, 259 p. 83 illus., 82 illus. in color. online resource.
Abstract:
This book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through the hyperbolic upper-to-lower saddles and parabola-saddles and circular and hyperbolic upper-to-lower saddles infinite-equilibriums. Series of simple equilibrium and paralleled hyperbolic flows are also discussed, which are switched through inflection-source (sink) and parabola-saddle infinite-equilibriums. Nonlinear dynamics and singularity for such crossing and product cubic systems are presented. In such cubic systems, the appearing bifurcations are: parabola-saddles, hyperbolic-to-hyperbolic-secant flows, third-order saddles (centers) and parabola-saddles (saddle-center). Develops a theory of crossing and product cubic systems with a crossing-linear and self-quadratic product vector field; Presents equilibrium series with hyperbolic-to-hyperbolic-scant flows and with paralleled hyperbolic flows; Shows equilibrium series switching bifurcations by up-down hyperbolic upper-to-lower saddles, parabola-saddles, et al.
Subject Term:
Added Corporate Author:
Electronic Access:
https://doi.org/10.1007/978-3-031-57100-8Copies:
Available:*
Library | Material Type | Item Barcode | Shelf Number | Status | Item Holds |
|---|---|---|---|---|---|
Searching... | E-Book | 607850-1001 | ONLINE | Searching... | Searching... |
