Two-dimensional Product-Cubic Systems, Vol. IV
Crossing-quadratic Vector Fields
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Beschreibung
This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink). The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include:
- Parabola-source (sink) infinite-equilibriums,
- Inflection-source (sink) infinite-equilibriums,
- Hyperbolic (circular) sink-to source infinite-equilibriums,
- Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums.
- Develops a theory of cubic dynamical systems having a product-cubic vector field and a crossing-quadratic vector field;
- Shows equilibriums and paralleled hyperbolic and hyperbolic-secant flows with switching though infinite-equilibriums;
- Presents CCW and CW centers separated by a paralleled hyperbolic flow and positive and negative saddles.
This book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink). The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include:
- Parabola-source (sink) infinite-equilibriums,
- Inflection-source (sink) infinite-equilibriums,
- Hyperbolic (circular) sink-to source infinite-equilibriums,
- Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums.
Develops a theory of cubic dynamical systems having a product-cubic vector field and a crossing-quadratic vector field Shows equilibriums and paralleled hyperbolic and hyperbolic-secant flows with switching though infinite-equilibriums Presents CCW and CW centers separated by a paralleled hyperbolic flow and positive and negative saddles
Autor*in
Albert C. J. Luo
Themen in »Two-dimensional Product-Cubic Systems, Vol. IV«
Constant and self-cubic systems Infinite-equilibriums Crossing-linear and self-cubic systems Two single-variable cubic systems Appearing bifurcations Inflection sinks, sources and saddles Up-down and down-up saddles Crossing-quadratic and self-cubic systems Third-order sink and source flows and saddle flows Third-order parabola flows and inflection flows Switching bifurcations Parabola sinks, sources and saddles Logarithmic and concave sinks and sources Crossing-Quadratic Vector Fields