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Two-dimensional Crossing and Product Cubic Systems, Vol. II Crossing-linear and Self-quadratic Product Vector Field /

This book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through...

Täydet tiedot

Tallennettuna:
Bibliografiset tiedot
Päätekijä: Luo, Albert C. J. (Tekijä)
Yhteisötekijä: SpringerLink (Online service)
Aineistotyyppi: Elektroninen E-kirja
Kieli:englanti
Julkaistu: Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Painos:1st ed. 2025.
Aiheet:
Dynamics.
Nonlinear theories.
Engineering mathematics.
Engineering > Data processing.
Multibody systems.
Vibration.
Mechanics, Applied.
Plasma waves.
Universal algebra.
Applied Dynamical Systems.
Mathematical and Computational Engineering Applications.
Multibody Systems and Mechanical Vibrations.
Waves, instabilities and nonlinear plasma dynamics.
General Algebraic Systems.
Linkit:https://doi.org/10.1007/978-3-031-57100-8
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Yhteenveto:This book, the 15th of 15 related monographs on Cubic Dynamic Systems, discusses crossing and product cubic systems with a crossing-linear and self-quadratic product vector field. The author discusses series of singular equilibriums and hyperbolic-to-hyperbolic-scant flows that are switched through the hyperbolic upper-to-lower saddles and parabola-saddles and circular and hyperbolic upper-to-lower saddles infinite-equilibriums. Series of simple equilibrium and paralleled hyperbolic flows are also discussed, which are switched through inflection-source (sink) and parabola-saddle infinite-equilibriums. Nonlinear dynamics and singularity for such crossing and product cubic systems are presented. In such cubic systems, the appearing bifurcations are: parabola-saddles, hyperbolic-to-hyperbolic-secant flows, third-order saddles (centers) and parabola-saddles (saddle-center). Develops a theory of crossing and product cubic systems with a crossing-linear and self-quadratic product vector field; Presents equilibrium series with hyperbolic-to-hyperbolic-scant flows and with paralleled hyperbolic flows; Shows equilibrium series switching bifurcations by up-down hyperbolic upper-to-lower saddles, parabola-saddles, et al.
Ulkoasu:X, 259 p. 83 illus., 82 illus. in color. online resource.
ISBN:9783031571008
DOI:10.1007/978-3-031-57100-8

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