Two-Dimensional Self and Product Cubic Systems: Crossing-Linear and Self-Quadratic Product Vector Field (1) - Couverture rigide

Luo, Albert C. J.

 
9783031570957: Two-Dimensional Self and Product Cubic Systems: Crossing-Linear and Self-Quadratic Product Vector Field (1)
Couverture rigide
ISBN 10 : 3031570952 ISBN 13 : 9783031570957
Editeur : Springer International Publishing AG, 2024

Synopsis

This book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are:

  • double-inflection saddles,
  • inflection-source (sink) flows,
  • parabola-saddles (saddle-center),
  • third-order parabola-saddles,
  • third-order saddles (centers),
  • third-order saddle-source (sink).

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Dr. Albert C. J. Luo is a Distinguished Research Professor at the Southern Illinois University Edwardsville, in Edwardsville, IL, USA. Dr. Luo worked on Nonlinear Mechanics, Nonlinear Dynamics, and Applied Mathematics. He proposed and systematically developed: (i) the discontinuous dynamical system theory, (ii) analytical solutions for periodic motions in nonlinear dynamical systems, (iii) the theory of dynamical system synchronization, (iv) the accurate theory of nonlinear deformable-body dynamics, (v) new theories for stability and bifurcations of nonlinear dynamical systems. He discovered new phenomena in nonlinear dynamical systems. His methods and theories can help understanding and solving the Hilbert sixteenth problems and other nonlinear physics problems. The main results were scattered in 45 monographs in Springer, Wiley, Elsevier, and World Scientific, over 200 prestigious journal papers, and over 150 peer-reviewed conference papers.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer International Publishing AG
Date d'édition
2024
Langue
anglais
ISBN 10 
3031570952
ISBN 13 
9783031570957
Reliure
Relié
Nombre de pages
242
Coordonnées du fabricant
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783031570988: Two-dimensional Self and Product Cubic Systems, Vol. I: Self-linear and Crossing-quadratic Product Vector Field

Edition présentée

ISBN 10 :  3031570987 ISBN 13 :  9783031570988
Editeur : Springer, 2025
Couverture souple