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A01=Albert C. J. Luo
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Two-dimensional Self and Product Cubic Systems, Vol. II

English

By (author): Albert C. J. Luo

This book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through the hyperbolic upper-to-lower saddles and parabola-saddles and circular and hyperbolic upper-to-lower saddles infinite-equilibriums. Series of simple equilibrium and paralleled hyperbolic flows are also discussed, which are switched through inflection-source (sink) and parabola-saddle infinite-equilibriums. Nonlinear dynamics and singularity for such crossing and product cubic systems are presented. In such cubic systems, the appearing bifurcations are: parabola-saddles, hyperbolic-to-hyperbolic-secant flows, third-order saddles (centers) and parabola-saddles (saddle-center). 

 

 

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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 29 Jan 2025

Product Details
  • Dimensions: 155 x 235mm
  • Publication Date: 29 Jan 2025
  • Publisher: Springer International Publishing AG
  • Publication City/Country: Switzerland
  • Language: English
  • ISBN13: 9783031570995

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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