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Titlebook: Two-dimensional Product-cubic Systems, Vol.II; Product-quadratic Ve Albert C. J. Luo Book 2024 The Editor(s) (if applicable) and The Author

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书目名称Two-dimensional Product-cubic Systems, Vol.II
副标题Product-quadratic Ve
编辑Albert C. J. Luo
视频video
概述Develops singularity and networks of equilibriums and 1-diemsnional flows in product-quadratic and cubic systems.Provides dynamics of product-quadratic/ product-cubic systems through equilibrium netwo
图书封面Titlebook: Two-dimensional Product-cubic Systems, Vol.II; Product-quadratic Ve Albert C. J. Luo Book 2024 The Editor(s) (if applicable) and The Author
描述.This book, the sixth of 15 related monographs, discusses singularity and networks of equilibriums and 1-diemsnional flows in product quadratic and cubic systems. The author explains how, in the networks, equilibriums have source, sink and saddles with counter-clockwise and clockwise centers and positive and negative saddles, and the 1-dimensional flows includes source and sink flows, parabola flows with hyperbolic and hyperbolic-secant flows. He further describes how the singular equilibriums are saddle-source (sink) and parabola-saddles for the appearing bifurcations, and the 1-dimensional singular flows are the hyperbolic-to-hyperbolic-secant flows and inflection source (sink) flows for 1-dimensional flow appearing bifurcations, and the switching bifurcations are based on the infinite-equilibriums, including inflection-source (sink), parabola-source (sink), up-down and down-up upper-saddle (lower-saddle), up-down (down-up) sink-to-source and source-to-sink, hyperbolic and hyperbolic-secant saddles. The diagonal-inflection upper-saddle and lower-saddle infinite-equilibriums are for the double switching bifurcations. The networks of hyperbolic flows with connected saddle, source a
出版日期Book 2024
关键词Constant and crossing-cubic systems; Self-linear and crossing-cubic systems; Self-quadratic and crossi
版次1
doihttps://doi.org/10.1007/978-3-031-57116-9
isbn_softcover978-3-031-57118-3
isbn_ebook978-3-031-57116-9
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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