000940669 000__ 02774cam\a2200457Ia\4500 000940669 001__ 940669 000940669 005__ 20230306152156.0 000940669 006__ m\\\\\o\\d\\\\\\\\ 000940669 007__ cr\un\nnnunnun 000940669 008__ 200819s2020\\\\si\\\\\\ob\\\\001\0\eng\d 000940669 019__ $$a1191082141$$a1193112204 000940669 020__ $$a9789811552120$$q(electronic book) 000940669 020__ $$a9811552126$$q(electronic book) 000940669 020__ $$z9811552118 000940669 020__ $$z9789811552113 000940669 0247_ $$a10.1007/978-981-15-5 000940669 035__ $$aSP(OCoLC)on1184056429 000940669 035__ $$aSP(OCoLC)1184056429$$z(OCoLC)1191082141$$z(OCoLC)1193112204 000940669 040__ $$aYDX$$beng$$cYDX$$dGW5XE$$dLQU$$dORU$$dEBLCP 000940669 049__ $$aISEA 000940669 050_4 $$aQA380 000940669 08204 $$a515/.392$$223 000940669 1001_ $$aLuo, Albert C. J. 000940669 24510 $$aBifurcation and stability in nonlinear discrete systems /$$cAlbert C. J. Luo. 000940669 260__ $$aSingapore :$$bSpringer,$$c2020. 000940669 300__ $$a1 online resource 000940669 336__ $$atext$$btxt$$2rdacontent 000940669 337__ $$acomputer$$bc$$2rdamedia 000940669 338__ $$aonline resource$$2rdacarrier 000940669 4901_ $$aNonlinear physical science,$$x1867-8440 000940669 504__ $$aIncludes bibliographical references and index. 000940669 5050_ $$aLocal Stability and Bifurcations -- Low-dimensional Discrete Systems -- Global Stability in 1-D discrete systems -- Forward and backward discrete systems -- Infinite-fixed-point Systems -- Subject index. 000940669 506__ $$aAccess limited to authorized users. 000940669 520__ $$aThis book focuses on bifurcation and stability in nonlinear discrete systems, including monotonic and oscillatory stability. It presents the local monotonic and oscillatory stability and bifurcation of period-1 fixed-points on a specific eigenvector direction, and discusses the corresponding higher-order singularity of fixed-points. Further, it explores the global analysis of monotonic and oscillatory stability of fixed-points in 1-dimensional discrete systems through 1-dimensional polynomial discrete systems. Based on the Yin-Yang theory of nonlinear discrete systems, the book also addresses the dynamics of forward and backward nonlinear discrete systems, and the existence conditions of fixed-points in said systems. Lastly, in the context of local analysis, it describes the normal forms of nonlinear discrete systems and infinite-fixed-point discrete systems. Examining nonlinear discrete systems from various perspectives, the book helps readers gain a better understanding of the nonlinear dynamics of such systems. 000940669 650_0 $$aBifurcation theory. 000940669 77608 $$iPrint version:$$z9811552118$$z9789811552113$$w(OCoLC)1148870369 000940669 830_0 $$aNonlinear physical science. 000940669 852__ $$bebk 000940669 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-981-15-5212-0$$zOnline Access$$91397441.1 000940669 909CO $$ooai:library.usi.edu:940669$$pGLOBAL_SET 000940669 980__ $$aEBOOK 000940669 980__ $$aBIB 000940669 982__ $$aEbook 000940669 983__ $$aOnline 000940669 994__ $$a92$$bISE