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  • 离散和切换动力系统(英文版)[精装]
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  • 作者:罗朝俊(作者)
  • 出版社:高等教育出版社;第1版(2012年5月1日)
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  • ISBN:9787040348217

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    《离散和切换动力系统(英文版)》用一种清晰简明、独特的观点讨论非线性离散动力系统稳定性和分又理论,并分析了离散动力系统中稳定性及其切换的复杂性。《离散和切换动力系统(英文版)》可作为应用数学、物理、工程学、经济动力学和金融专业大学生的教材或参考书,也可供这些领域的教授和研究人员参考。

    目录

    Preface
    Chapter 1 Linear Discrete Systems and Stability
    1.1 Basic iterative solutions
    1.2 Linear discrete systems with distinct eigenvalues
    1.3 Linear discrete systems with repeated eigenvalues
    1.4 Stability and boundary
    1.5 Lower-dimensional discrete systems
    1.5.1 One-dimensional systems
    1.5.2 Planar discrete linear systems
    1.5.3 Three-dimensional discrete systems
    Reference
    Chapter 2 Stability, Bifurcation and Routes to Chaos
    2.1 Discrete dynamical systems
    2.2 Fixed points and stability
    2.3 Bifurcation and stability switching
    2.3.1 Stability and switching
    2.3.2 Bifurcations
    2.4 Routes to chaos
    2.4.1 One-dimensional maps
    2.4.2 Two-dimensional maps
    References
    Chapter 3 Fractality and Complete Dynamics
    3.1 Multifractals in 1-D iterative maps
    3.1.1 Similar structures in period doubling
    3.1.2 Fractality of chaos via period doubling bifurcations.
    3.1.3 An example
    3.2 Bouncing ball dynamics
    3.2.1 Periodic motions
    3.2.2 Stability and bifurcations
    3.2.3 Numerical illustrations
    3.3 Positive and negative dynamics of discrete systems
    3.4 Complete dynamics of Henon map
    References
    Chapter 4 Switching Systems with Transports
    4.1 Continuous subsystems
    4.2 Switching systems
    4.3 Measuring functions and stability
    4.4 Mappings and periodic flows
    4.5 Linear switching systems
    4.5.1 Vibrations with piecewise forces
    4.5.2 Vector fields switching
    References
    Chapter 5 Mapping Dynamics and Fragmentation
    5.1 Discontinuous dynamical systems
    5.2 G-functions to boundaries
    5.3 Mapping dynamics
    5.4 A semi-active suspension system
    5.4.1 Analytical dynamics
    5.4.2 Illustrations
    5.5 Grazing singular sets and fragmentation
    5.6 Fragmentized strange attractors
    References
    Index

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