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Two-dimensional Product Cubic Systems, Vol. VII de Albert C. J. Luo

Two-dimensional Product Cubic Systems, Vol. VII

Autor Albert C. J. Luo
en Limba Engleză Hardback – 22 oct 2024
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.
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Specificații

ISBN-13: 9783031484827
ISBN-10: 3031484827
Pagini: 244
Ilustrații: Approx. 235 p. 45 illus. in color.
Dimensiuni: 160 x 241 x 18 mm
Greutate: 0.58 kg
Ediția:2024
Editura: Springer
Locul publicării:Cham, Switzerland

Cuprins

Chapter 1: Self-quadratic and product-cubic Systems.- Chapter 2: Saddle-node singularity and bifurcation dynamics.- Chapter 3: Double-saddles and switching bifurcations.

Notă biografică

Prof. Albert C. J. Luo is a distinguished research professor at the Department of Mechanical Engineering at Southern Illinois University Edwardsville, USA. He received his Ph.D. degree from the University of Manitoba, Canada, in 1995. His research focuses on nonlinear dynamics, nonlinear mechanics, and nonlinear differential equations. He has published over 50 monographs, 20 edited books and more than 400 journal articles and conference papers in these fields. He received the Paul Simon Outstanding Scholar Award in 2008 and an ASME fellowship in 2007. He was an editor for Communications in Nonlinear Science and Numerical Simulation for 14 years, and an associate editor for ASME Journal of Computational and Nonlinear Dynamics, and International Journal of Bifurcation and Chaos. He now serves as a co-editor of the Journal of Applied Nonlinear Dynamics and editor of various book series, including "Nonlinear Systems and Complexity" and "Nonlinear Physical Science".

Textul de pe ultima copertă

This book, 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.
 
  • Develops a theory of cubic dynamical systems possessing a product-cubic vector field and a self-quadratic vector field;
  • Finds series/networks of equilibriums, 1-dimenional hyperbolic/hyperbolic-secant flows, finite-equilibrium switching;
  • Presents sink and source separated by a connected hyperbolic-secant flow, and the (SO,SI) and (SI,SO)-saddles.