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Bifurcation and stability in nonlinear discrete systems =: 非线性离散系统中的分岔与稳定性 / |
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ISBN/ISSN:
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9787040552287 |
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中图分类法
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O231 |
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著者:
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Luo, Albert C. J. (罗朝俊) |
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题名:
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Bifurcation and stability in nonlinear discrete systems = [非线性离散系统中的分岔与稳定性 ] |
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其它题名:
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非线性离散系统中的分岔与稳定性 |
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载体形态:
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313 pages : illustrations ; 24 cm. |
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内容提要:
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This 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 |
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主题词:
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Bifurcation theory. |
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HEA| |02204nam a2200301 i 4500 001| |022021000268 003| |CAL 005| |20210615090629.6 008| |210615s2021 cc a b 001 0 eng d 020| |▼a9787040552287 040| |▼aBUA▼beng▼cBUA▼erda 082|04|▼a515/.392▼223 093| |▼aO231▼25 099| |▼aCAL 022021035658 100|1 |▼aLuo, Albert C. J.▼9(罗朝俊) 245|10|▼aBifurcation and stability in- | | nonlinear discrete systems =▼- | |b非线性离散系统中的分岔与稳定性 /▼cAlbert C. - | |J. Luo 246|31|▼a非线性离散系统中的分岔与稳定性 264| 1|▼a北京 :▼bHigher Education Press,▼c[2021] 300| |▼a313 pages :▼billustrations ;▼c24 cm. 336| |▼atext▼btxt▼2rdacontent 337| |▼aunmediated▼bn▼2rdamedia 338| |▼avolume▼bnc▼2rdacarrier 490|0 |▼aNonlinear physical science 504| |▼aIncludes bibliographical ref- | |erences and index 505|0 |▼aLocal Stability and Bifurcat- | |ions －－ Low-dimensional Discre- | |te Systems －－ Global Stability- | | in 1-D discrete systems －－ Fo- | |rward and backward discrete sy- | |stems －－ Infinite-fixed-point - | |Systems －－ Subject index 520| |▼aThis book focuses on bifurca- | |tion and stability in nonlinea- | |r discrete systems, including - | |monotonic and oscillatory stab- | |ility. It presents the local m- | |onotonic and oscillatory stabi- | |lity and bifurcation of period- | |-1 fixed-points on a specific - | |eigenvector direction, and dis- | |cusses the corresponding highe- | |r-order singularity of fixed-p- | |oints. Further, it explores th- | |e global analysis of monotonic- | | and oscillatory stability of - | |fixed-points in 1-dimensional - | |discrete systems through 1-dim- | |ensional polynomial discrete s- | |ystems. Based on the Yin-Yang - | |theory of nonlinear discrete s- | |ystems, the book also addresse- | |s the dynamics of forward and - | |backward nonlinear discrete sy- | |stems, and the existence condi- | |tions of fixed-points in said - | |systems. Lastly, in the contex- | |t of local analysis, it descri- | |bes the normal forms of nonlin- | |ear discrete systems and infin- | |ite-fixed-point discrete syste- | |ms. Examining nonlinear discre- | |te systems from various perspe- | |ctives, the book helps readers- | | gain a better understanding o- | |f the nonlinear dynamics of such systems 650| 0|▼aBifurcation theory. 998| |▼aBUA
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