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

Albert C. J. Luo

ISBN 10: 3031595734 / ISBN 13: 9783031595738

Edité par Springer Nature Switzerland, Springer International Publishing, 2024

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are:saddle-source (sink)hyperbolic-to-hyperbolic-secant flowsdouble-saddlethird-order saddle, sink and sourcethird-order saddle-source (sink).

N° de réf. du vendeur 9783031595738

Détails bibliographiques

• Titre: Two-dimensional Self and Product Cubic Systems, Vol. II : Crossing-linear and Self-quadratic Product Vector Field
• Éditeur: Springer Nature Switzerland, Springer International Publishing
• Date de parution: 2024
• Langue: anglais
• ISBN à 10 chiffres: 3031595734
• ISBN à 13 chiffres: 9783031595738
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 241 L x 160 H x 19 P (en millimètres) 241 millimètres de largeur par 160 millimètres de hauteur par 19 millimètres de profondeur
• Poids: 586 grammes

A propos de ce titre

Synopsis

This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are:

saddle-source (sink)

hyperbolic-to-hyperbolic-secant flows

double-saddle

third-order saddle, sink and source

third-order saddle-source (sink)

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.