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Two-dimensional Two Product Cubic Systems, Vol. III : Self-linear and Crossing Quadratic Product Vector Fields / / by Albert C. J. Luo



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Autore: Luo Albert C. J Visualizza persona
Titolo: Two-dimensional Two Product Cubic Systems, Vol. III : Self-linear and Crossing Quadratic Product Vector Fields / / by Albert C. J. Luo Visualizza cluster
Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024
Edizione: 1st ed. 2024.
Descrizione fisica: 1 online resource (292 pages)
Disciplina: 515.63
Soggetto topico: Dynamics
Nonlinear theories
Mechanics, Applied
Multibody systems
Vibration
Algebra, Universal
Plasma waves
Applied Dynamical Systems
Engineering Mechanics
Multibody Systems and Mechanical Vibrations
General Algebraic Systems
Waves, instabilities and nonlinear plasma dynamics
Sommario/riassunto: This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing bifurcations of saddle and center. The inflection-source and sink flows are the appearing bifurcations for connected hyperbolic and hyperbolic-secant flows. Networks of higher-order equilibriums and flows are presented. For the network switching, the inflection-sink and source infinite-equilibriums exist, and parabola-source and sink infinite-equilibriums are obtained. The equilibrium networks with connected hyperbolic and hyperbolic-secant flows are discussed. The inflection-source and sink infinite-equilibriums are for the switching bifurcation of two equilibrium networks. Develops a theory of nonlinear dynamics and singularity of crossing-linear and self-quadratic product systems; Presents networks of singular, simple center and saddle with hyperbolic flows in same structure product-cubic systems; Reveals s network switching bifurcations through hyperbolic, parabola, circle sink and other parabola-saddles.
Titolo autorizzato: Two-Dimensional Two Product Cubic Systems, Vol. III  Visualizza cluster
ISBN: 3-031-59559-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910896525603321
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