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

Albert C. J. Luo

ISBN 10: 3031484932 / ISBN 13: 9783031484933

Verlag: Springer-Verlag Gmbh Jul 2025, 2025

Beschreibung

Neuware - This book is the tenth of 15 related monographs, discusses product-cubic nonlinear systems with two crossing-linear and self-quadratic products vector fields and the dynamic behaviors and singularity are presented through the first integral manifolds. The equilibrium and flow singularity and bifurcations discussed in this volume are for the appearing and switching bifurcations. The double-saddle equilibriums described are the appearing bifurcations for saddle source and saddle-sink, and for a network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations are also presented, specifically: Inflection-saddle infinite-equilibriums, Hyperbolic (hyperbolic-secant)-sink and source infinite-equilibriums Up-down and down-up saddle infinite-equilibriums, Inflection-source (sink) infinite-equilibriums.

Bestandsnummer des Verkäufers 9783031484933

Bibliografische Details

• Titel: Two-dimensional Two-product Cubic Systems Vol.II : Crossing-linear and Self-quadratic Product Vector Fields
• Verlag: Springer-Verlag Gmbh Jul 2025
• Erscheinungsjahr: 2025
• Sprache: Englisch
• ISBN-10: 3031484932
• ISBN-13: 9783031484933
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 19 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 19 mm
• Gewicht: 511 Gramm

Über diesen Titel

Inhaltsangabe

This book is the tenth of 15 related monographs, discusses product-cubic nonlinear systems with two crossing-linear and self-quadratic products vector fields and the dynamic behaviors and singularity are presented through the first integral manifolds. The equilibrium and flow singularity and bifurcations discussed in this volume are for the appearing and switching bifurcations. The double-saddle equilibriums described are the appearing bifurcations for saddle source and saddle-sink, and for a network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations are also presented, specifically:

· Inflection-saddle infinite-equilibriums,

· Hyperbolic (hyperbolic-secant)-sink and source infinite-equilibriums

· Up-down and down-up saddle infinite-equilibriums,

· Inflection-source (sink) infinite-equilibriums.

 

 

 

Über die Autorin bzw. den Autor

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.