Two-dimensional Two Product Cubic Systems, Vol. III
Self-linear and Crossing Quadratic Product Vector Fields
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Beschreibung
This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing bifurcations of saddle and center. The inflection-source and sink flows are the appearing bifurcations for connected hyperbolic and hyperbolic-secant flows. Networks of higher-order equilibriums and flows are presented. For the network switching, the inflection-sink and source infinite-equilibriums exist, and parabola-source and sink infinite-equilibriums are obtained. The equilibrium networks with connected hyperbolic and hyperbolic-secant flows are discussed. The inflection-source and sink infinite-equilibriums are for the switching bifurcation of two equilibrium networks.
- Develops a theory of nonlinear dynamics and singularity of crossing-linear and self-quadratic product systems;
- Presents networks of singular, simple center and saddle with hyperbolic flows in same structure product-cubic systems;
- Reveals s network switching bifurcations through hyperbolic, parabola, circle sink and other parabola-saddles.
This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing bifurcations of saddle and center. The inflection-source and sink flows are the appearing bifurcations for connected hyperbolic and hyperbolic-secant flows. Networks of higher-order equilibriums and flows are presented. For the network switching, the inflection-sink and source infinite-equilibriums exist, and parabola-source and sink infinite-equilibriums are obtained. The equilibrium networks with connected hyperbolic and hyperbolic-secant flows are discussed. The inflection-source and sink infinite-equilibriums are for the switching bifurcation of two equilibrium networks.
Develops a theory of nonlinear dynamics and singularity of crossing-linear and self-quadratic product systems Presents networks of singular, simple center and saddle with hyperbolic flows in same structure product-cubic systems Reveals s network switching bifurcations through hyperbolic, parabola, circle sink and other parabola-saddles
Autor*in
Albert C. J. Luo
Themen in »Two-dimensional Two Product Cubic Systems, Vol. III«
Self-linear and Crossing-quadratic Product Systems Self-linear and crossing-quadratic product vector fields Constant and product-cubic systems Linear-univariate and product-cubic systems Hyperbolic and hyperbolic-secant flows Connected hyperbolic and hyperbolic-secant flows Separated hyperbolic and hyperbolic-secant flows Inflection-source (sink) Infinite-equilibriums I Infinite-equilibrium switching bifurcations Inflection-sinks and sources Parabola-saddle bifurcations Saddle-source (sink) bifurcations