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000924914 020__ $$a9783030229108$$q(electronic book)
000924914 020__ $$a3030229106$$q(electronic book)
000924914 020__ $$z3030229092
000924914 020__ $$z9783030229092
000924914 035__ $$aSP(OCoLC)on1139151768
000924914 035__ $$aSP(OCoLC)1139151768
000924914 040__ $$aYDX$$beng$$erda$$cYDX$$dYDXIT$$dGW5XE
000924914 049__ $$aISEA
000924914 050_4 $$aQA372$$b.L86 2019
000924914 08204 $$a515.352$$223
000924914 1001_ $$aLuo, Albert C. J.,$$eauthor.
000924914 24510 $$aBifurcation and stability in nonlinear dynamical systems /$$cAlbert C.J. Luo.
000924914 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2019]
000924914 300__ $$a1 online resource.
000924914 336__ $$atext$$btxt$$2rdacontent
000924914 337__ $$acomputer$$bc$$2rdamedia
000924914 338__ $$aonline resource$$bcr$$2rdacarrier
000924914 4901_ $$aNonlinear systems and complexity ;$$vvolume 28
000924914 504__ $$aIncludes bibliographical references and index.
000924914 506__ $$aAccess limited to authorized users.
000924914 520__ $$aThis book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems. Until now, one does not have any efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums. For instance, infinite-equilibrium dynamical systems have higher-order singularity, which dramatically changes dynamical behaviors and possesses the similar characteristics of discontinuous dynamical systems. The stability and bifurcation of equilibriums on the specific eigenvector are presented, and the spiral stability and Hopf bifurcation of equilibriums in nonlinear systems are presented through the Fourier series transformation. The bifurcation and stability of higher-order singularity equilibriums are presented through the (2m)th and (2m+1)th -degree polynomial systems. From local analysis, dynamics of infinite-equilibrium systems is discussed. The research on infinite-equilibrium systems will bring us to the new era of dynamical systems and control.
000924914 588__ $$aDescription based on online resource; title from digital title page (viewed on February 17, 2020).
000924914 650_0 $$aDifferential equations, Nonlinear$$xNumerical solutions.
000924914 77608 $$iPrint version: $$z3030229092$$z9783030229092$$w(OCoLC)1101984764
000924914 830_0 $$aNonlinear systems and complexity ;$$vv. 28.
000924914 852__ $$bebk
000924914 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-22910-8$$zOnline Access$$91397441.1
000924914 909CO $$ooai:library.usi.edu:924914$$pGLOBAL_SET
000924914 980__ $$aEBOOK
000924914 980__ $$aBIB
000924914 982__ $$aEbook
000924914 983__ $$aOnline
000924914 994__ $$a92$$bISE