03861nam a22006015i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172050001400186072001600200072001700216072002300233072001500256072001600271100008600287245016500373250001800538264006900556300006300625336002600688337002600714338003600740347002400776505026200800520142901062650002102491650003102512650003602543650003402579650003002613650003002643650002202673650002402695650002502719650003802744650006102782650003802843650005602881650006302937710003403000773002603034776003603060776003603096776003603132856004603168912001403214912001403228999001703242978-3-031-57096-4DE-He21320251030113314.0cr nn 008mamaa241116s2024    sz |    s    |||| 0|eng d  a97830315709649978-3-031-57096-47 a10.1007/978-3-031-57096-42doi 4aTA352-356 4aQC20.7.N6 7aTBJ2bicssc 7aGPFC2bicssc 7aSCI0640002bisacsh 7aTBJ2thema 7aGPFC2thema1 aLuo, Albert C. J.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut98124110aTwo-dimensional Self and Product Cubic Systems, Vol. Ih[electronic resource] :bSelf-linear and Crossing-quadratic Product Vector Field /cby Albert C. J. Luo.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aX, 232 p. 43 illus., 42 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aCrossing 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.  aBack 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. 0aDynamics.965524 0aNonlinear theories.965525 0aEngineering mathematics.964145 0aEngineeringxData processing. 0aUniversal algebra.975551 0aMultibody systems.966046 0aVibration.966047 0aMechanics, Applied. 0aPlasma waves.96974914aApplied Dynamical Systems.96553024aMathematical and Computational Engineering Applications.24aGeneral Algebraic Systems.97555224aMultibody Systems and Mechanical Vibrations.96604824aWaves, instabilities and nonlinear plasma dynamics.9697502 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303157095708iPrinted edition:z978303157097108iPrinted edition:z978303157098840uhttps://doi.org/10.1007/978-3-031-57096-4  aZDB-2-ENG  aZDB-2-SXE  c64977d64977