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Record Nr. |
UNINA9910908380403321 |
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Autore |
Luo Albert C. J |
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Titolo |
Two-dimensional Self and Product Cubic Systems, Vol. I : Self-linear and Crossing-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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9783031570964 |
9783031570957 |
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Edizione |
[1st ed. 2024.] |
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Descrizione fisica |
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1 online resource (239 pages) |
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Disciplina |
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Soggetti |
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Dynamics |
Nonlinear theories |
Engineering mathematics |
Engineering - Data processing |
Algebra, Universal |
Multibody systems |
Vibration |
Mechanics, Applied |
Plasma waves |
Applied Dynamical Systems |
Mathematical and Computational Engineering Applications |
General Algebraic Systems |
Multibody Systems and Mechanical Vibrations |
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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Nota di contenuto |
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Crossing and Product cubic Systems -- Double-inflection Saddles and Parabola-saddles -- Three Parabola-saddle Series and Switching Dynamics -- Parabola-saddles, (1:1) and (1:3)-Saddles and Centers -- Equilibrium Networks and Switching with Hyperbolic Flows. |
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Sommario/riassunto |
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Back cover Materials Albert C J Luo Two-dimensional Self and Product Cubic Systems, Vol. I Self-linear and crossing-quadratic product vector field This book is the twelfth of 15 related monographs on Cubic |
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Systems, discusses self and product cubic systems with a self-linear and crossing-quadratic product vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed. The volume explains how the equilibrium series with connected hyperbolic and hyperbolic-secant flows exist in such cubic systems, and that the corresponding switching bifurcations are obtained through the inflection-source and sink infinite-equilibriums. Finally, the author illustrates how, in such cubic systems, the appearing bifurcations include saddle-source (sink) for equilibriums and inflection-source and sink flows for the connected hyperbolic flows, and the third-order saddle, sink and source are the appearing and switching bifurcations for saddle-source (sink) with saddles, source and sink, and also for saddle, sink and source. · Develops a theory of self and product cubic systems with a self-linear and crossing-quadratic product vector field; · Presents equilibrium series with flow singularity and connected hyperbolic and hyperbolic-secant flows; · Shows equilibrium series switching bifurcations through a range of sources and saddles on the infinite-equilibriums. |
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