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

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) i...

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Bibliográfalaš dieđut
Váldodahkki: Luo, Albert C. J. (Dahkki)
Searvvušdahkki: SpringerLink (Online service)
Materiálatiipa: Elektrovnnalaš E-girji
Giella:eaŋgalasgiella
Almmustuhtton: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Preanttus:1st ed. 2024.
Fáttát:
Multibody systems.
Vibration.
Mechanics, Applied.
Dynamics.
Nonlinear theories.
Stochastic analysis.
Multibody Systems and Mechanical Vibrations.
Applied Dynamical Systems.
Engineering Mechanics.
Stochastic Analysis.
Liŋkkat:https://doi.org/10.1007/978-3-031-48483-4
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Govvádus
Čoahkkáigeassu: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. .
Olgguldas hápmi:1 online resource (X, 232 p. 47 illus.). 46 illus. in color.
ISBN:9783031484834
DOI:10.1007/978-3-031-48483-4

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