001463452 000__ 04440cam\a22006377i\4500
001463452 001__ 1463452
001463452 003__ OCoLC
001463452 005__ 20230601003321.0
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001463452 008__ 230425s2023\\\\si\a\\\\ob\\\\001\0\eng\d
001463452 019__ $$a1376914444$$a1379530919
001463452 020__ $$a9789811678738$$qelectronic book
001463452 020__ $$a9811678731$$qelectronic book
001463452 020__ $$z9789811678721
001463452 020__ $$z9811678723
001463452 0247_ $$a10.1007/978-981-16-7873-8$$2doi
001463452 035__ $$aSP(OCoLC)1377309634
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001463452 049__ $$aISEA
001463452 050_4 $$aQA402$$b.L86 2023
001463452 08204 $$a003/.75$$223/eng/20230425
001463452 1001_ $$aLuo, Albert C. J.,$$eauthor.$$1https://isni.org/isni/000000012209080X
001463452 24510 $$aTwo-dimensional quadratic nonlinear systems.$$nVolume I,$$pUnivariate vector fields /$$cAlbert C.J. Luo.
001463452 24630 $$aUnivariate vector fields
001463452 264_1 $$aSingapore :$$bSpringer,$$c2023.
001463452 300__ $$a1 online resource (1 volume) :$$billustrations (black and white, and color).
001463452 336__ $$atext$$btxt$$2rdacontent
001463452 337__ $$acomputer$$bc$$2rdamedia
001463452 338__ $$aonline resource$$bcr$$2rdacarrier
001463452 4901_ $$aNonlinear physical science
001463452 504__ $$aIncludes bibliographical references and index.
001463452 5050_ $$aChapter 1 Two-dimensional Linear Dynamical Systems -- Chapter 2 Single-variable Quadratic Systems with a Self-univariate Quadratic Vector Field -- Chapter 3 Single-variable Quadratic Systems with a Non-self-univariate Quadratic Vector Field -- Chapter 4 Variable-independent quadratic systems -- Chapter 5 Variable-crossing univariate quadratic systems -- Chapter 6 Two-univariate product quadratic systems -- Chapter 7 Product-bivariate Quadratic Systems with Self-univariate Vector Fields -- Chapter 8 Product-bivariate Quadratic Systems with Non-self-univariate Vector Fields.
001463452 506__ $$aAccess limited to authorized users.
001463452 520__ $$aThis book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems. Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibriums and flows in such two-dimensional quadratic systems help us understand other nonlinear dynamical systems, which is also a crucial step toward solving the Hilberts sixteenth problem. Possible singular dynamics of the two-dimensional quadratic systems are discussed in detail. The dynamics of equilibriums and one-dimensional flows in two-dimensional systems are presented. Saddle-sink and saddle-source bifurcations are discussed, and saddle-center bifurcations are presented. The infinite-equilibrium states are switching bifurcations for nonlinear systems. From the first integral manifolds, the saddle-center networks are developed, and the networks of saddles, source, and sink are also presented. This book serves as a reference book on dynamical systems and control for researchers, students, and engineering in mathematics, mechanical, and electrical engineering.
001463452 588__ $$aDescription based on print version record.
001463452 650_0 $$aNonlinear systems.
001463452 650_0 $$aVector fields.
001463452 650_0 $$aComputational complexity.
001463452 655_0 $$aElectronic books.
001463452 77608 $$iPrint version:$$aLuo, Albert C. J.$$tTwo-dimensional quadratic nonlinear systems. Volume I, Univariate vector fields.$$dSingapore : Springer, 2022$$z9789811678721$$w(OCoLC)1295101562
001463452 830_0 $$aNonlinear physical science.
001463452 852__ $$bebk
001463452 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-16-7873-8$$zOnline Access$$91397441.1
001463452 909CO $$ooai:library.usi.edu:1463452$$pGLOBAL_SET
001463452 980__ $$aBIB
001463452 980__ $$aEBOOK
001463452 982__ $$aEbook
001463452 983__ $$aOnline
001463452 994__ $$a92$$bISE