LEADER 02532nam 2200505 450 001 996418447403316 005 20210319141647.0 010 $a981-15-5208-8 024 7 $a10.1007/978-981-15-5208-3 035 $a(CKB)4100000011568977 035 $a(DE-He213)978-981-15-5208-3 035 $a(MiAaPQ)EBC6387623 035 $a(PPN)252504283 035 $a(EXLCZ)994100000011568977 100 $a20210319d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBifurcation dynamics in polynomial discrete systems /$fAlbert C. J. Luo 205 $a1st ed. 2020. 210 1$aSingapore :$cSpringer,$d[2020] 210 4$dİ2020 215 $a1 online resource (XI, 430 p. 68 illus., 66 illus. in color.) 225 1 $aNonlinear physical science 311 $a981-15-5207-X 327 $aQuadratic Nonlinear Discrete Systems -- Cubic Nonlinear Discrete Systems -- Quartic Nonlinear Discrete Systems -- (2m)th-degree Polynomial Discrete Systems -- (2m+1)th-degree polynomial discrete systems -- Subject index. . 330 $aThis is the first book focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems. It comprehensively discusses the general mathematical conditions of bifurcations in polynomial nonlinear discrete systems, as well as appearing and switching bifurcations for simple and higher-order singularity period-1 fixed-points in the 1-dimensional polynomial discrete systems. Further, it analyzes the bifurcation trees of period-1 to chaos generated by period-doubling, and monotonic saddle-node bifurcations. Lastly, the book presents methods for period-2 and period-doubling renormalization for polynomial discrete systems, and describes the appearing mechanism and period-doublization of period-n fixed-points on bifurcation trees for the first time, offering readers fascinating insights into recent research results in nonlinear discrete systems. 410 0$aNonlinear physical science. 606 $aComputational complexity 606 $aDynamics 606 $aErgodic theory 615 0$aComputational complexity. 615 0$aDynamics. 615 0$aErgodic theory. 676 $a511.3 700 $aLuo$b Albert C. J.$0720985 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418447403316 996 $aBifurcation dynamics in polynomial discrete systems$92255332 997 $aUNISA