Self-linear and Crossing-quadratic Product Vector Field Luo, Albert C. J. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

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access X, 232 p. 43 illus., 42 illus. in color. online resource. Back cover Materials Albert C J Luo Two-dimensional Self and Product Cubic Systems, Vol. I Self-linear and crossing-quadratic product vector field This book is the twelfth of 15 related monographs on Cubic Systems, discusses self and product cubic systems with a self-linear and crossing-quadratic product vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed. The volume explains how the equilibrium series with connected hyperbolic and hyperbolic-secant flows exist in such cubic systems, and that the corresponding switching bifurcations are obtained through the inflection-source and sink infinite-equilibriums. Finally, the author illustrates how, in such cubic systems, the appearing bifurcations include saddle-source (sink) for equilibriums and inflection-source and sink flows for the connected hyperbolic flows, and the third-order saddle, sink and source are the appearing and switching bifurcations for saddle-source (sink) with saddles, source and sink, and also for saddle, sink and source. · Develops a theory of self and product cubic systems with a self-linear and crossing-quadratic product vector field; · Presents equilibrium series with flow singularity and connected hyperbolic and hyperbolic-secant flows; · Shows equilibrium series switching bifurcations through a range of sources and saddles on the infinite-equilibriums. 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. by Albert C. J. Luo. Dynamics Nonlinear theories Engineering mathematics Engineering Data processing Universal algebra Multibody systems Vibration Mechanics, Applied Plasma waves Applied Dynamical Systems Mathematical and Computational Engineering Applications General Algebraic Systems Multibody Systems and Mechanical Vibrations Waves, instabilities and nonlinear plasma dynamics TA352-356 QC20.7.N6 9783031570964 https://doi.org/10.1007/978-3-031-57096-4 https://doi.org/10.1007/978-3-031-57096-4 241116 20251030113314.0 978-3-031-57096-4