04047nam a22006495i 4500 978-3-031-57096-4 DE-He213 20251030113314.0 cr nn 008mamaa 241116s2024 sz | s |||| 0|eng d 9783031570964 978-3-031-57096-4 10.1007/978-3-031-57096-4 doi TA352-356 QC20.7.N6 TBJ bicssc GPFC bicssc SCI064000 bisacsh TBJ thema GPFC thema Luo, Albert C. J. author. aut http://id.loc.gov/vocabulary/relators/aut 81241 Two-dimensional Self and Product Cubic Systems, Vol. I [electronic resource] : Self-linear and Crossing-quadratic Product Vector Field / by Albert C. J. Luo. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. X, 232 p. 43 illus., 42 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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. 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. Dynamics. 65524 Nonlinear theories. 65525 Engineering mathematics. 64145 Engineering Data processing. Universal algebra. 75551 Multibody systems. 66046 Vibration. 66047 Mechanics, Applied. Plasma waves. 69749 Applied Dynamical Systems. 65530 Mathematical and Computational Engineering Applications. General Algebraic Systems. 75552 Multibody Systems and Mechanical Vibrations. 66048 Waves, instabilities and nonlinear plasma dynamics. 69750 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031570957 Printed edition: 9783031570971 Printed edition: 9783031570988 https://doi.org/10.1007/978-3-031-57096-4 ZDB-2-ENG ZDB-2-SXE 64977 64977