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Two-dimensional Crossing-Variable Cubic Nonlinear Systems - Printable Version +- Softwarez.Info - Software's World! (https://softwarez.info) +-- Forum: Library Zone (https://softwarez.info/Forum-Library-Zone) +--- Forum: E-Books (https://softwarez.info/Forum-E-Books) +--- Thread: Two-dimensional Crossing-Variable Cubic Nonlinear Systems (/Thread-Two-dimensional-Crossing-Variable-Cubic-Nonlinear-Systems) |
Two-dimensional Crossing-Variable Cubic Nonlinear Systems - ebooks1001 - 03-03-2025 ![]() Free Download Two-dimensional Crossing-Variable Cubic Nonlinear Systems English | 2025 | ISBN: 3031628098 | 396 Pages | PDF EPUB (True) | 65 MB This book is the fourth of 15 related monographs presents systematically a theory of crossing-cubic nonlinear systems. In this treatment, at least one vector field is crossing-cubic, and the other vector field can be constant, crossing-linear, crossing-quadratic, and crossing-cubic. For constant vector fields, the dynamical systems possess 1-dimensional flows, such as parabola and inflection flows plus third-order parabola flows. For crossing-linear and crossing-cubic systems, the dynamical systems possess saddle and center equilibriums, parabola-saddles, third-order centers and saddles (i.e, (3rd UP+:UP+)-saddle and (3rdUP-:UP-)-saddle) and third-order centers (i.e., (3rd DP+ P-)-center, (3rd DP-, DP+)-center) . For crossing-quadratic and crossing-cubic systems, in addition to the first and third-order saddles and centers plus parabola-saddles, there are (3:2)parabola-saddle and double-inflection saddles, and for the two crossing-cubic systems, (3:3)-saddles and centers exist. Finally,the homoclinic orbits with centers can be formed, and the corresponding homoclinic networks of centers and saddles exist.Recommend Download Link Hight Speed | Please Say Thanks Keep Topic Live Links are Interchangeable - Single Extraction |