Two-dimensional Product Cubic Systems, Vol. VII : Self- Quadratic Vector Fields

Albert C. J. Luo

ISBN 10: 3031484827 / ISBN 13: 9783031484827

Published by Springer Nature Switzerland, Springer Nature Switzerland, 2024

About this Item

Druck auf Anfrage Neuware - Printed after ordering - This book is the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vector field and a self-univariate quadratic vector field. The equilibrium singularity and bifurcation dynamics are discussed. The saddle-source (sink) is the appearing bifurcations for saddle and source (sink). The double-saddle equilibriums are the appearing bifurcations of the saddle-source and saddle-sink, and also the appearing bifurcations of the network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations include:- inflection-saddle infinite-equilibriums,- hyperbolic-source (sink) infinite-equilibriums,- up-down (down-up) saddle infinite-equilibriums,- inflection-source (sink) infinite-equilibriums.

Seller Inventory # 9783031484827

Bibliographic Details

• Title: Two-dimensional Product Cubic Systems, Vol. VII : Self- Quadratic Vector Fields
• Publisher: Springer Nature Switzerland, Springer Nature Switzerland
• Publication Date: 2024
• Language: English
• ISBN 10: 3031484827
• ISBN 13: 9783031484827
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 18D millimeters 241 millimeters width by 160 millimeters height by 18 millimeters depth
• Weight: 580 grams

About this title

Synopsis

This book is the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vector field and a self-univariate quadratic vector field. The equilibrium singularity and bifurcation dynamics are discussed. The saddle-source (sink) is the appearing bifurcations for saddle and source (sink). The double-saddle equilibriums are the appearing bifurcations of the saddle-source and saddle-sink, and also the appearing bifurcations of the network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations include:

• inflection-saddle infinite-equilibriums,

• hyperbolic-source (sink) infinite-equilibriums,

• up-down (down-up) saddle infinite-equilibriums,

• inflection-source (sink) infinite-equilibriums.

About the Author

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.