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[null,"1.","Record Nr.",null,"UNINA9910908362503321"]
[null,null,"Autore",null,"Luo Albert C. J"]
[null,null,"Titolo",null,"Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II : A Crossing-variable Cubic Vector Field / / by Albert C. J. Luo"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024"]
[null,null,"ISBN",null,"9783031571084"]
[null,null,"Edizione",null,"[1st ed. 2024.]"]
[null,null,"Descrizione fisica",null,"1 online resource (246 pages)"]
[null,null,"Collana",null,"Engineering Series"]
[null,null,"Disciplina",null,"515.39"]
[null,null,"Soggetti",null,"Dynamics"]
[{"$nulls":4},"Nonlinear theories"]
[{"$nulls":4},"Engineering mathematics"]
[{"$nulls":4},"Engineering - Data processing"]
[{"$nulls":4},"Functions of complex variables"]
[{"$nulls":4},"Plasma waves"]
[{"$nulls":4},"Applied Dynamical Systems"]
[{"$nulls":4},"Mathematical and Computational Engineering Applications"]
[{"$nulls":4},"Several Complex Variables and Analytic Spaces"]
[{"$nulls":4},"Dynamical Systems"]
[{"$nulls":4},"Waves, instabilities and nonlinear plasma dynamics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Constant and Self-Cubic Vector fields -- Self-linear and Self-cubic vector fields -- Self-quadratic and self-cubic vector fields  -- Two self-cubic vector fields."]
[null,null,null,"Sommario/riassunto","This book, the second of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of crossing-variables, which are discussed as the second part. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-diemnsional cubic systems are for the first time to be presented. Third-order parabola flows are presented, and the upper and lower saddle flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order parabola flows, and inflection flows with the first source and sink flows, and the upper and lower-saddle flows. The appearing bifurcations in such cubic systems "]
[{"$nulls":4},"includes inflection flows and third-order parabola flows, upper and lower-saddle flows. Readers will learn new concepts, theory, phenomena, and analytic techniques, including Constant and crossing-cubic systems Crossing-linear and crossing-cubic systems Crossing-quadratic and crossing-cubic systems Crossing-cubic and crossing-cubic systems Appearing and switching bifurcations Third-order centers and saddles Parabola-saddles and inflection-saddles Homoclinic-orbit network with centers Appearing bifurcations Presents saddle flows plus third-order parabola flows and inflection flows as appearing flow bifurcations; Presents saddle flows plus third-order parabola flows and inflection flows as appearing flow bifurcations; Explains infinite-equilibriums for the switching of the first-order sink and source flows. ."]