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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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Autore: Luo Albert C. J Visualizza persona
Titolo: Two-dimensional Crossing and Product Cubic Systems, Vol. I : Self-linear and Crossing-quadratic Product Vector Field / / by Albert C. J. Luo Visualizza cluster
Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025
Edizione: 1st ed. 2025.
Descrizione fisica: 1 online resource (X, 239 p. 1 illus.)
Disciplina: 515.39
Soggetto topico: 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
Nota di contenuto: 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.
Sommario/riassunto: 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 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.
Titolo autorizzato: Two-dimensional Crossing and Product Cubic Systems, Vol. I  Visualizza cluster
ISBN: 9783031595820
3031595823
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910983326903321
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