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Record Nr. |
UNINA9910896525603321 |
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Autore |
Luo Albert C. J |
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Titolo |
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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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 (292 pages) |
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Disciplina |
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Soggetti |
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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 |
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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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Sommario/riassunto |
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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- |
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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. |
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