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Two-dimensional Self and Product Cubic Systems, Vol. I

Self-linear and Crossing-quadratic Product Vector Field

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Focusing on self and product cubic systems, this volume explores complex interactions within a self-linear and crossing-quadratic product vector field. It presents equilibrium series characterized by flow singularities and examines the resulting switching bifurcations. Key concepts include the existence of hyperbolic and hyperbolic-secant flows, as well as the role of inflection-source and sink infinite-equilibriums in these dynamics. The author details various bifurcations, including saddle-source and third-order transitions, emphasizing their significance in understanding cubic systems.

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Two-dimensional Self and Product Cubic Systems, Vol. I, Albert C.J. Luo

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Released
2024
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Title
Two-dimensional Self and Product Cubic Systems, Vol. I
Subtitle
Self-linear and Crossing-quadratic Product Vector Field
Language
English
Released
2024
Format
Hardcover
Pages
240
ISBN13
9783031595813
Series
Description
Focusing on self and product cubic systems, this volume explores complex interactions within a self-linear and crossing-quadratic product vector field. It presents equilibrium series characterized by flow singularities and examines the resulting switching bifurcations. Key concepts include the existence of hyperbolic and hyperbolic-secant flows, as well as the role of inflection-source and sink infinite-equilibriums in these dynamics. The author details various bifurcations, including saddle-source and third-order transitions, emphasizing their significance in understanding cubic systems.