Two-dimensional Crossing and Product Cubic Systems, Vol. II

Two-dimensional Crossing and Product Cubic Systems, Vol. II

by Albert C. J. Luo
Epub (Kobo), Epub (Adobe)
Publication Date: 30/03/2025

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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).

ISBN:
9783031571008
9783031571008
Category:
Cybernetics & systems theory
Format:
Epub (Kobo), Epub (Adobe)
Publication Date:
30-03-2025
Language:
English
Publisher:
Springer Nature Switzerland

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