Two-dimensional Self and Product Cubic Systems, Vol. I (1st ed. 2024)
Crossing-linear and Self-quadratic Product Vector Field

By (author) Albert C. J. Luo

ISBN13: 9783031570957

Imprint: Springer International Publishing AG

Publisher: Springer International Publishing AG

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Published: 19/07/2024

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Description
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 (centers),  third-order saddle-source (sink).
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.
  • Maths for engineers
  • Cybernetics & systems theory
  • Professional & Vocational
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List Price: £139.99