000946152 000__ 02725cam\a2200493M\\4500 000946152 001__ 946152 000946152 005__ 20230306152534.0 000946152 006__ m\\\\\o\\d\\\\\\\\ 000946152 007__ cr\un\nnnunnun 000946152 008__ 201112s2020\\\\xx\\\\\\o\\\\\000\0\eng\d 000946152 019__ $$a1225563157$$a1227332521 000946152 020__ $$a9789811552083$$q(electronic book) 000946152 020__ $$a9811552088$$q(electronic book) 000946152 020__ $$z981155207X 000946152 020__ $$z9789811552076 000946152 0247_ $$a10.1007/978-981-15-5208-3$$2doi 000946152 035__ $$aSP(OCoLC)on1205607008 000946152 035__ $$aSP(OCoLC)1205607008$$z(OCoLC)1225563157$$z(OCoLC)1227332521 000946152 040__ $$aYDX$$beng$$cYDX$$dSFB$$dUAB 000946152 049__ $$aISEA 000946152 050_4 $$aQA267.7 000946152 08204 $$a620$$223 000946152 1001_ $$aLUO, ALBERT C. J. 000946152 24510 $$aBifurcation dynamics in polynomial discrete systems. 000946152 260__ $$a[Place of publication not identified]$$bSPRINGER Verlag, SINGAPOR,$$c2020. 000946152 300__ $$a1 online resource 000946152 336__ $$atext$$btxt$$2rdacontent 000946152 337__ $$acomputer$$bc$$2rdamedia 000946152 338__ $$aonline resource$$bcr$$2rdacarrier 000946152 4901_ $$aNonlinear Physical Science,$$x1867-8440 000946152 5050_ $$aQuadratic Nonlinear Discrete Systems -- Cubic Nonlinear Discrete Systems -- Quartic Nonlinear Discrete Systems -- (2m)th-degree Polynomial Discrete Systems -- (2m+1)th-degree polynomial discrete systems -- Subject index. . 000946152 506__ $$aAccess limited to authorized users. 000946152 520__ $$aThis is the first book focusing on bifurcation dynamics in 1-dimensional polynomial nonlinear discrete systems. It comprehensively discusses the general mathematical conditions of bifurcations in polynomial nonlinear discrete systems, as well as appearing and switching bifurcations for simple and higher-order singularity period-1 fixed-points in the 1-dimensional polynomial discrete systems. Further, it analyzes the bifurcation trees of period-1 to chaos generated by period-doubling, and monotonic saddle-node bifurcations. Lastly, the book presents methods for period-2 and period-doubling renormalization for polynomial discrete systems, and describes the appearing mechanism and period-doublization of period-n fixed-points on bifurcation trees for the first time, offering readers fascinating insights into recent research results in nonlinear discrete systems. 000946152 650_0 $$aComputational complexity. 000946152 650_0 $$aDynamics. 000946152 650_0 $$aErgodic theory. 000946152 650_0 $$aVibration. 000946152 650_0 $$aAutomatic control. 000946152 77608 $$iPrint version: $$z981155207X$$z9789811552076$$w(OCoLC)1148907973 000946152 830_0 $$aNonlinear physical science,$$x1867-8440 000946152 852__ $$bebk 000946152 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-981-15-5208-3$$zOnline Access$$91397441.1 000946152 909CO $$ooai:library.usi.edu:946152$$pGLOBAL_SET 000946152 980__ $$aEBOOK 000946152 980__ $$aBIB 000946152 982__ $$aEbook 000946152 983__ $$aOnline 000946152 994__ $$a92$$bISE