03800nam a22006495i 4500 978-3-031-48491-9 DE-He213 20251030112648.0 cr nn 008mamaa 240725s2024 sz | s |||| 0|eng d 9783031484919 978-3-031-48491-9 10.1007/978-3-031-48491-9 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.II [electronic resource] : Crossing-linear and Self-quadratic Product Vector Fields / by Albert C. J. Luo. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. X, 322 p. 98 illus., 97 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Preface -- Crossing-linear and Self-quadratic Product Systems -- Double-saddles and switching dynamics -- Vertically Paralleled Saddle-source and Saddle-sink -- Horizontally Paralleled Saddle-source and Saddle-sink -- Simple Equilibrium Networks and Switching Dynamics. This book, the tenth of 15 related monographs, discusses product-cubic nonlinear systems with two crossing-linear and self-quadratic products vector fields and the dynamic behaviors and singularity are presented through the first integral manifolds. The equilibrium and flow singularity and bifurcations discussed in this volume are for the appearing and switching bifurcations. The double-saddle equilibriums described are the appearing bifurcations for saddle source and saddle-sink, and for a network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations are also presented, specifically: · Inflection-saddle infinite-equilibriums, · Hyperbolic (hyperbolic-secant)-sink and source infinite-equilibriums · Up-down and down-up saddle infinite-equilibriums, · Inflection-source (sink) infinite-equilibriums. Develops a theory of nonlinear dynamics and singularity of crossing-linear and self-quadratic product dynamical systems; Shows hybrid networks of singular/simple equilibriums and hyperbolic flows in two same structure product-cubic systems; Presents network switching bifurcations through infinite-equilibriums of inflection-saddles hyperbolic-sink and source. Dynamics. 65524 Nonlinear theories. 65525 System theory. 66519 Multibody systems. 66046 Vibration. 66047 Mechanics, Applied. Universal algebra. 75551 Engineering mathematics. 64145 Engineering Data processing. Applied Dynamical Systems. 65530 Complex Systems. 66520 Multibody Systems and Mechanical Vibrations. 66048 General Algebraic Systems. 75552 Mathematical and Computational Engineering Applications. SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031484902 Printed edition: 9783031484926 Printed edition: 9783031484933 https://doi.org/10.1007/978-3-031-48491-9 ZDB-2-ENG ZDB-2-SXE 61896 61896