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A01=Albert C. J. Luo
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Two-dimensional Self and Product Cubic Systems, Vol. I: Self-linear and Crossing-quadratic Product Vector Field

English

By (author): Albert C. J. Luo

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).

 

 

 

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A01=Albert C. J. LuoAge Group_UncategorizedAuthor_Albert C. J. Luoautomatic-updateCategory1=Non-FictionCategory=GPFCCategory=PBFCategory=PHFPCategory=TBJCategory=TGMDCOP=SwitzerlandDelivery_Pre-orderLanguage_EnglishPA=Not yet availablePrice_€100 and abovePS=Forthcomingsoftlaunch

Will deliver when available. Publication date 02 Dec 2024

Product Details
  • Dimensions: 155 x 235mm
  • Publication Date: 02 Dec 2024
  • Publisher: Springer International Publishing AG
  • Publication City/Country: Switzerland
  • Language: English
  • ISBN13: 9783031570957

About Albert C. J. Luo

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. 

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