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Record Nr. |
UNINA9910897991203321 |
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Autore |
Luo Albert C. J. |
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Titolo |
Two-dimensional Self and Product Cubic Systems, Vol. II : Crossing-linear and Self-quadratic Product Vector Field / / by Albert C. J. Luo |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
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ISBN |
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Edizione |
[1st ed. 2024.] |
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Descrizione fisica |
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1 online resource (X, 238 p. 46 illus., 45 illus. in color.) |
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Disciplina |
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Soggetti |
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Dynamics |
Nonlinear theories |
Engineering mathematics |
Engineering - Data processing |
Multibody systems |
Vibration |
Mechanics, Applied |
Algebra, Universal |
Applied Dynamical Systems |
Mathematical and Computational Engineering Applications |
Multibody Systems and Mechanical Vibrations |
General Algebraic Systems |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Self and Product Cubic Systems -- Double-saddles, Third-order Saddle nodes -- Vertical Saddle-node Series and Switching Dynamics -- Saddle-nodes and third-order Saddles Source and Sink -- Simple equilibrium networks and switching dynamics. |
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Sommario/riassunto |
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This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles |
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infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are: saddle-source (sink) hyperbolic-to-hyperbolic-secant flows double-saddle third-order saddle, sink and source third-order saddle-source (sink) Develops a theory of self and product cubic systems with a crossing-linear and self-quadratic products vector field; Presents equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows with switching by up-down saddles; Shows equilibrium appearing bifurcations of various saddles, sinks, and flows. |
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