{"product_id":"9783031571145","title":"Two-dimensional Self-independent Variable Cubic Nonlinear Systems","description":"\u003ch1\u003eTwo-dimensional Self-independent Variable Cubic Nonlinear Systems\u003c\/h1\u003e\u003ch2\u003e\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003eContributors:\u003c\/strong\u003e Luo, Albert C. J.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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.   \u003c\/p\u003e\n\n\u003cp\u003eReaders will learn new concepts, theory, phenomena, and analytic techniques, including\u003cbr\u003e\nConstant and crossing-cubic systems\u003cbr\u003e\nCrossing-linear and crossing-cubic systems\u003cbr\u003e\nCrossing-quadratic and crossing-cubic systems\u003cbr\u003e\nCrossing-cubic and crossing-cubic systems\u003cbr\u003e\nAppearing and switching bifurcations\u003cbr\u003e\nThird-order centers and saddles\u003cbr\u003e\nParabola-saddles and inflection-saddles\u003cbr\u003e\nHomoclinic-orbit network with centers\u003cbr\u003e\nAppearing bifurcations\u003c\/p\u003e\u003ch3\u003eBook Details\u003c\/h3\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublisher:\u003c\/strong\u003e Springer\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e 2025-11-09\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eFormat:\u003c\/strong\u003e Paperback\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eISBN-13:\u003c\/strong\u003e 9783031571145\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePages:\u003c\/strong\u003e 275\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":45169222189196,"sku":"9783031571145","price":152.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031571145.jpg?v=1768937386","url":"https:\/\/lateknightbooks.com\/products\/9783031571145","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}