Two-Dimensional Crossing and Product Cubic Systems : Self-Linear and Crossing-Quadratic Product Vector Field
Two-Dimensional Crossing and Product Cubic Systems : Self-Linear and Crossing-Quadratic Product Vector Field
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Author(s): Luo, Albert C. J.
ISBN No.: 9783031595813
Pages: x, 239
Year: 202501
Format: Trade Cloth (Hard Cover)
Price: $ 254.72
Dispatch delay: Dispatched between 7 to 15 days
Status: Available

This book, 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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