| 书目名称 | Two-dimensional Self-independent Variable Cubic Nonlinear Systems | | 编辑 | Albert C. J. Luo | | 视频video | | | 概述 | Develops equilibrium singularity and bifurcations in 2-dimensional self-cubic systems.Presents (1,3) and (3,3)-sink, source, and saddles; (1,2) and (3,2)-saddle-sink and saddle-source; (2,2)-double-s | | 图书封面 |  | | 描述 | .This book, the third of 15 related monographs, presents systematically a theory of self-independent cubic nonlinear systems. Here, at least one vector field is self-cubic, and the other vector field can be constant, self-linear, self-quadratic, or self-cubic. For constant vector fields in this book, the dynamical systems possess 1-dimensional flows, such as source, sink and saddle flows, plus third-order source and sink flows. For self-linear and self-cubic systems discussed, the dynamical systems possess source, sink and saddle equilibriums, saddle-source and saddle-sink, third-order sink and source (i.e, (3rd SI:SI)-sink and (3rdSO:SO)-source) and third-order source (i.e., (3rd SO:SI)-saddle, (3rd SI, SO)-saddle) . For self-quadratic and self-cubic systems, in addition to the first and third-order sink, source and saddles plus saddle-source and saddle-sink, there are (3:2)-saddle-sink and (3:2) saddle-source and double-saddles. For the two self-cubic systems, (3:3)-source, sink and saddles exist. Finally, the author describes that homoclinic orbits without centers can be formed, and the corresponding homoclinic networks of source, sink and saddles exists. ..Readers will lear | | 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 | | doi | https://doi.org/10.1007/978-3-031-57112-1 | | isbn_softcover | 978-3-031-57114-5 | | isbn_ebook | 978-3-031-57112-1 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 16:12:36
