02532nam 2200505 450 99641844740331620210319141647.0981-15-5208-810.1007/978-981-15-5208-3(CKB)4100000011568977(DE-He213)978-981-15-5208-3(MiAaPQ)EBC6387623(PPN)252504283(EXLCZ)99410000001156897720210319d2020 uy 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierBifurcation dynamics in polynomial discrete systems /Albert C. J. Luo1st ed. 2020.Singapore :Springer,[2020]©20201 online resource (XI, 430 p. 68 illus., 66 illus. in color.) Nonlinear physical science981-15-5207-X Quadratic 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. .This 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.Nonlinear physical science.Computational complexityDynamicsErgodic theoryComputational complexity.Dynamics.Ergodic theory.511.3Luo Albert C. J.720985MiAaPQMiAaPQMiAaPQBOOK996418447403316Bifurcation dynamics in polynomial discrete systems2255332UNISA