Two-dimensional Self and Product Cubic Systems, Vol. I (eBook, PDF)
Self-linear and Crossing-quadratic Product Vector Field
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Back cover MaterialsAlbert C J LuoTwo-dimensional Self and Product Cubic Systems, Vol. ISelf-linear and crossing-quadratic product vector fieldThis book is the twelfth of 15 related monographs on Cubic Systems, discusses self and product cubic systems with a self-linear and crossing-quadratic product vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed. The volume explains how the equilibrium series with connected hyperbolic and hyperbolic-secant flows exist in such cubic systems, and that the corresponding switching bi...
Back cover Materials
Albert C J Luo
Two-dimensional Self and Product Cubic Systems, Vol. I
Self-linear and crossing-quadratic product vector field
This book is the twelfth of 15 related monographs on Cubic Systems, discusses self and product cubic systems with a self-linear and crossing-quadratic product vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed. The volume explains how the equilibrium series with connected hyperbolic and hyperbolic-secant flows exist in such cubic systems, and that the corresponding switching bifurcations are obtained through the inflection-source and sink infinite-equilibriums. Finally, the author illustrates how, in such cubic systems, the appearing bifurcations include saddle-source (sink) for equilibriums and inflection-source and sink flows for the connected hyperbolic flows, and the third-order saddle, sink and source are the appearing and switching bifurcations for saddle-source (sink) with saddles, source and sink, and also for saddle, sink and source.
· Develops a theory of self and product cubic systems with a self-linear and crossing-quadratic product vector field;
· Presents equilibrium series with flow singularity and connected hyperbolic and hyperbolic-secant flows;
· Shows equilibrium series switching bifurcations through a range of sources and saddles on the infinite-equilibriums.
Albert C J Luo
Two-dimensional Self and Product Cubic Systems, Vol. I
Self-linear and crossing-quadratic product vector field
This book is the twelfth of 15 related monographs on Cubic Systems, discusses self and product cubic systems with a self-linear and crossing-quadratic product vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed. The volume explains how the equilibrium series with connected hyperbolic and hyperbolic-secant flows exist in such cubic systems, and that the corresponding switching bifurcations are obtained through the inflection-source and sink infinite-equilibriums. Finally, the author illustrates how, in such cubic systems, the appearing bifurcations include saddle-source (sink) for equilibriums and inflection-source and sink flows for the connected hyperbolic flows, and the third-order saddle, sink and source are the appearing and switching bifurcations for saddle-source (sink) with saddles, source and sink, and also for saddle, sink and source.
· Develops a theory of self and product cubic systems with a self-linear and crossing-quadratic product vector field;
· Presents equilibrium series with flow singularity and connected hyperbolic and hyperbolic-secant flows;
· Shows equilibrium series switching bifurcations through a range of sources and saddles on the infinite-equilibriums.
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