03668nam a22006255i 4500 978-3-031-59574-5 DE-He213 20251030113232.0 cr nn 008mamaa 241018s2024 sz | s |||| 0|eng d 9783031595745 978-3-031-59574-5 10.1007/978-3-031-59574-5 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. II [electronic resource] : Crossing-linear and Self-quadratic Product Vector Field / by Albert C. J. Luo. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. X, 238 p. 46 illus., 45 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Self and Product Cubic Systems -- Double-saddles, Third-order Saddle nodes -- Vertical Saddle-node Series and Switching Dynamics -- Saddle-nodes and third-order Saddles Source and Sink -- Simple equilibrium networks and switching dynamics. This book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are: saddle-source (sink) hyperbolic-to-hyperbolic-secant flows double-saddle third-order saddle, sink and source third-order saddle-source (sink) Develops a theory of self and product cubic systems with a crossing-linear and self-quadratic products vector field; Presents equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows with switching by up-down saddles; Shows equilibrium appearing bifurcations of various saddles, sinks, and flows. Dynamics. 65524 Nonlinear theories. 65525 Engineering mathematics. 64145 Engineering Data processing. Multibody systems. 66046 Vibration. 66047 Mechanics, Applied. Universal algebra. 75551 Applied Dynamical Systems. 65530 Mathematical and Computational Engineering Applications. Multibody Systems and Mechanical Vibrations. 66048 General Algebraic Systems. 75552 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031595738 Printed edition: 9783031595752 Printed edition: 9783031595769 https://doi.org/10.1007/978-3-031-59574-5 ZDB-2-ENG ZDB-2-SXE 64287 64287