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

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  • Engels
  • Hardcover
  • 9783031484827
  • 02 augustus 2024
  • 233 pagina's
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Samenvatting

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.



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.



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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Inhoud

Taal
en
Bindwijze
Hardcover
Oorspronkelijke releasedatum
02 augustus 2024
Aantal pagina's
233

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Hoofdauteur
Albert C. J. Luo

Overige kenmerken

Product breedte
155 mm
Product lengte
235 mm
Verpakking breedte
155 mm
Verpakking lengte
235 mm

EAN

EAN
9783031484827
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Bindwijze : Hardcover

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