Two-dimensional Two-product Cubic Systems Vol. X:Crossing-linear and Self-quadratic Product Vector Fields (Cubic Dynamical Systems, 10)
by: Albert C. J. Luo (Author)
Publisher: Springer
Edition: 2024th
Publication Date: 2024/7/25
Language: English
Print Length: 330 pages
ISBN-10: 3031484908
ISBN-13: 9783031484902
Book Description
This book is the tenth of 15 related monographs, discusses product-cubic nonlinear systems with two crossing-linear and self-quadratic products vector fields and the dynamic behaviors and singularity are presented through the first integral manifolds. The equilibrium and flow singularity and bifurcations discussed in this volume are for the appearing and switching bifurcations. The double-saddle equilibriums described are the appearing bifurcations for saddle source and saddle-sink, and for a network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations are also presented, specifically:· Inflection-saddle infinite-equilibriums,· Hyperbolic (hyperbolic-secant)-sink and source infinite-equilibriums· Up-down and down-up saddle infinite-equilibriums,· Inflection-source (sink) infinite-equilibriums.
About the Author
This book is the tenth of 15 related monographs, discusses product-cubic nonlinear systems with two crossing-linear and self-quadratic products vector fields and the dynamic behaviors and singularity are presented through the first integral manifolds. The equilibrium and flow singularity and bifurcations discussed in this volume are for the appearing and switching bifurcations. The double-saddle equilibriums described are the appearing bifurcations for saddle source and saddle-sink, and for a network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations are also presented, specifically:· Inflection-saddle infinite-equilibriums,· Hyperbolic (hyperbolic-secant)-sink and source infinite-equilibriums· Up-down and down-up saddle infinite-equilibriums,· Inflection-source (sink) infinite-equilibriums.
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