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[null,"1.","Record Nr.",null,"UNINA9910906292803321"]
[null,null,"Autore",null,"Luo Albert C. J"]
[null,null,"Titolo",null,"Two-dimensional Self-independent Variable Cubic Nonlinear Systems / / by Albert C. J. Luo"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024"]
[null,null,"ISBN",null,"9783031571121"]
[{"$nulls":4},"9783031571114"]
[null,null,"Edizione",null,"[1st ed. 2024.]"]
[null,null,"Descrizione fisica",null,"1 online resource (282 pages)"]
[null,null,"Disciplina",null,"530.44"]
[null,null,"Soggetti",null,"Plasma waves"]
[{"$nulls":4},"Dynamics"]
[{"$nulls":4},"Nonlinear theories"]
[{"$nulls":4},"Mechanics, Applied"]
[{"$nulls":4},"Multibody systems"]
[{"$nulls":4},"Vibration"]
[{"$nulls":4},"Waves, instabilities and nonlinear plasma dynamics"]
[{"$nulls":4},"Applied Dynamical Systems"]
[{"$nulls":4},"Engineering Mechanics"]
[{"$nulls":4},"Multibody Systems and Mechanical Vibrations"]
[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 is the third of 15 related monographs, presents systematically a theory of self-cubic nonlinear systems. Here, at least one vector field is self-cubic, the other vector fields can be constant, self-linear, self-quadratic, and 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, the dynamical systems possess source, sink, and saddle equilibriums, saddle-source and saddle-sink equilibriums, third-order source and sink (i.e., ( 3rdSO:SO)-source, ( 3rdSI:SI)-sink) and third-order saddle (i.e., (3rdSO:SI)-saddle, 3rdSI:SO)-saddle). For self-quadratic and self-cubic systems, in addition to the first and third-order source, sink, saddles plus saddle-source, saddle-"]
[{"$nulls":4},"sink, there are (3,2)-saddle-sink, (3,2)-saddle-source and double-saddles, and for the two self-cubic systems, double third-order source, sink and saddles exist. Finally, the authors describes thar the homoclinic orbits without cen-ters can be formed, and the corresponding homoclinic networks of source, sink and saddles exist. • 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-saddles; • Develops homoclinic networks of source, sink and saddles. ."]