03537nam a22006135i 4500 978-3-031-59559-2 DE-He213 20251030113136.0 cr nn 008mamaa 241011s2024 sz | s |||| 0|eng d 9783031595592 978-3-031-59559-2 10.1007/978-3-031-59559-2 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 Two Product Cubic Systems, Vol. III [electronic resource] : Self-linear and Crossing Quadratic Product Vector Fields / by Albert C. J. Luo. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. X, 284 p. 72 illus., 71 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing bifurcations of saddle and center. The inflection-source and sink flows are the appearing bifurcations for connected hyperbolic and hyperbolic-secant flows. Networks of higher-order equilibriums and flows are presented. For the network switching, the inflection-sink and source infinite-equilibriums exist, and parabola-source and sink infinite-equilibriums are obtained. The equilibrium networks with connected hyperbolic and hyperbolic-secant flows are discussed. The inflection-source and sink infinite-equilibriums are for the switching bifurcation of two equilibrium networks. Develops a theory of nonlinear dynamics and singularity of crossing-linear and self-quadratic product systems; Presents networks of singular, simple center and saddle with hyperbolic flows in same structure product-cubic systems; Reveals s network switching bifurcations through hyperbolic, parabola, circle sink and other parabola-saddles. Dynamics. 65524 Nonlinear theories. 65525 Mechanics, Applied. Multibody systems. 66046 Vibration. 66047 Universal algebra. 75551 Plasma waves. 69749 Applied Dynamical Systems. 65530 Engineering Mechanics. Multibody Systems and Mechanical Vibrations. 66048 General Algebraic Systems. 75552 Waves, instabilities and nonlinear plasma dynamics. 69750 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031595585 Printed edition: 9783031595608 Printed edition: 9783031595615 https://doi.org/10.1007/978-3-031-59559-2 ZDB-2-ENG ZDB-2-SXE 64115 64115