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

A Crossing-variable Cubic Vector Field

Medium: Buch
ISBN: 978-3-031-57107-7
Verlag: Springer Nature Switzerland
Erscheinungstermin: 20.11.2024
Lieferfrist: bis zu 10 Tage

This book, the second of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of crossing-variables, which are discussed as the second part. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-diemnsional cubic systems are for the first time to be presented. Third-order parabola flows are presented, and the upper and lower saddle flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order parabola flows, and inflection flows with the first source and sink flows, and the upper and lower-saddle flows.  The appearing bifurcations in such cubic systems includes inflection flows and third-order parabola flows, upper and lower-saddle flows. 

Readers will learn new concepts, theory, phenomena, and analytic techniques, including
Constant and crossing-cubic systems
Crossing-linear and crossing-cubic systems
Crossing-quadratic and crossing-cubic systems
Crossing-cubic and crossing-cubic systems
Appearing and switching bifurcations
Third-order centers and saddles
Parabola-saddles and inflection-saddles
Homoclinic-orbit network with centers
Appearing bifurcations


Produkteigenschaften


  • Artikelnummer: 9783031571077
  • Medium: Buch
  • ISBN: 978-3-031-57107-7
  • Verlag: Springer Nature Switzerland
  • Erscheinungstermin: 20.11.2024
  • Sprache(n): Englisch
  • Auflage: 2024
  • Produktform: Gebunden
  • Gewicht: 591 g
  • Seiten: 240
  • Format (B x H x T): 160 x 241 x 19 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

Constant and Self-Cubic Vector fields.- Self-linear and Self-cubic vector fields.- Self-quadratic and self-cubic vector fields .- Two self-cubic vector fields.