03450nam a22005175i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001500172072001700187072002300204072001600227100008600243245011900329250001800448264006900466300006300535336002600598337002600624338003600650347002400686505016700710520145900877650002502336650002102361650003102382650002402413650003002437650002202467650006302489650003802552650002702590650005602617710003402673773002602707776003602733776003602769776003602805856004602841912001402887912001402901999001702915978-3-031-57112-1DE-He21320251030113302.0cr nn 008mamaa241108s2024    sz |    s    |||| 0|eng d  a97830315711219978-3-031-57112-17 a10.1007/978-3-031-57112-12doi 4aQC718.5.W3 7aPHFP2bicssc 7aSCI0550002bisacsh 7aPHFP2thema1 aLuo, Albert C. J.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut98124110aTwo-dimensional Self-independent Variable Cubic Nonlinear Systemsh[electronic resource] /cby Albert C. J. Luo.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aX, 275 p. 33 illus., 32 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aConstant and Self-Cubic Vector fields -- Self-linear and Self-cubic vector fields -- Self-quadratic and self-cubic vector fields  -- Two self-cubic vector fields.  aThis book is the third of 15 related monographs, presents systematically a theory of self-cubic nonlinear systems. Here, at least one vector field is self-cubic, the other vector fields can be constant, self-linear, self-quadratic, and self-cubic. For constant vector fields in this book, the dynamical systems possess 1-dimensional flows, such as source, sink and saddle flows, plus third-order source and sink flows. For self-linear and self-cubic systems, the dynamical systems possess source, sink, and saddle equilibriums, saddle-source and saddle-sink equilibriums, third-order source and sink (i.e., ( 3rdSO:SO)-source, ( 3rdSI:SI)-sink) and third-order saddle (i.e., (3rdSO:SI)-saddle, 3rdSI:SO)-saddle). For self-quadratic and self-cubic systems, in addition to the first and third-order source, sink, saddles plus saddle-source, saddle-sink, there are (3,2)-saddle-sink, (3,2)-saddle-source and double-saddles, and for the two self-cubic systems, double third-order source, sink and saddles exist. Finally, the authors describes thar the homoclinic orbits without cen-ters can be formed, and the corresponding homoclinic networks of source, sink and saddles exist. • Develops equilibrium singularity and bifurcations in 2-dimensional self-cubic systems; • Presents (1,3) and (3,3)-sink, source, and saddles; (1,2) and (3,2)-saddle-sink and saddle-source; (2,2)-double-saddles; • Develops homoclinic networks of source, sink and saddles. . 0aPlasma waves.969749 0aDynamics.965524 0aNonlinear theories.965525 0aMechanics, Applied. 0aMultibody systems.966046 0aVibration.96604714aWaves, instabilities and nonlinear plasma dynamics.96975024aApplied Dynamical Systems.96553024aEngineering Mechanics.24aMultibody Systems and Mechanical Vibrations.9660482 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303157111408iPrinted edition:z978303157113808iPrinted edition:z978303157114540uhttps://doi.org/10.1007/978-3-031-57112-1  aZDB-2-PHA  aZDB-2-SXP  c64779d64779