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1. |
Record Nr. |
UNINA9910983326903321 |
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Autore |
Luo Albert C. J |
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Titolo |
Two-dimensional Crossing 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, , 2025 |
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ISBN |
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Edizione |
[1st ed. 2025.] |
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Descrizione fisica |
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1 online resource (X, 239 p. 1 illus.) |
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Disciplina |
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Soggetti |
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Dynamics |
Nonlinear theories |
Engineering mathematics |
Engineering - Data processing |
Algebra, Universal |
Plasma waves |
Applied Dynamical Systems |
Mathematical and Computational Engineering Applications |
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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Nota di contenuto |
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Self and product cubic systems -- Second and third order equibriliums -- Equilibrium series and switching dynamics -- Saddle nodes and hyperbolic flow series -- Simple equilibrium series and switching dynamics. |
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Sommario/riassunto |
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This book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and |
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parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are: - double-inflection saddles, - inflection-source (sink) flows, - parabola-saddles (saddle-center), - third-order parabola-saddles, - third-order saddles and centers. · Develops a theory of crossing and product cubic systems with a self-linear and crossing-quadratic product vector field; · Presents singular equilibrium series with inflection-source (sink) flows and networks of simple equilibriums; · Shows equilibrium appearing bifurcations of (2,2)-double-inflection saddles and inflection-source (sink) flows. |
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