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全新非线离散系统中的分岔与稳定(美)罗朝俊9787040552287
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1 Local Stability and Bifurcations1.1 Discrete Systems1.2 Fixed—Points and Stability1.3 Stability Switching1.3.1 Monotonic and Oscillatory Stability1.3.2 Spiral Stability1.4 Local Bifurcations1.4.1 Monotonic Bifurcations1.4.2 One—Step Oscillatory Bifurcations1.4.3 Two—Step Oscillatory Bifurcations1.4.4 Neimark BifurcationsReferences2 LOW-Dimensional Discrete Systems2.1 One—Dimensional Discrete Systems2.2 Monotonic and Oscillatory Stability. Bifurcations..1 Monotonic Bifurcations..2 neStep 0scillatory Bifurcations.. Two.Step Oscillatory Bifurcations2.4 Sample Bifurcation Analysis2.4.1 Saddle—Node Appearing Bifurcations2.4.2 Saddle—Node Switching Bifurcations2.4 -3 Third.Order Monotonic Sink Pitchfork Bifurcations2.4.4 Third一0rder Monotonic Source Pitchfork Bifurcations2.5 TwO—Dimensional Discrete Systems2.5.1 Stability and Singularity2.5.2 An ExampleReferences3 Global Stability of 1.D Discrete Systems3.1 Discrete System Classifications3.2 Fixed—Point Global StabilitV3-3 One Fixed—Point Systems3-3.1 Monotonic Stability3-3.2 Oscillatory Stability3.4 Two.Fixed.Point Systems3.4.1 Monotonic Two—Fixed.Point Systems3.4.2 Oscillatory Two—Fixed—Point Systems3.5 Thtee—Fixed—Point Systems3.5.1 Monotonic Three—Fixed.Point Systems3.5.2 Oscillatory Three—Fixed—Point SystemsReferences4 Forward and Backward Discrete Systems4.1 Yin—Yang Theory Of Discrete Systems4.2 Forward Discrete Systems4.3 Backward Discrete SystemsReference5 Infinite-Fixed-Point Discrete Systems5.1 Fixed.Point Computations5.2 Normal Forms of Discrete Systems5.3 Infnite—Fixed—Point Systems5.3.1 0ne—Infinite—Fixed.Point Systems5.3.2 TWInfinite—Fixed.Point Systems5.3.3 Higher—Order Infinite—Fixed.Point Systems5.4 Infinite.Fixed—Point—Network Systems5.4.1 An Infinite—Fixed—Point.Network System5.4.2 A Spiral Infinite.Fixed.Point System5.4.3 A Linear Infinite—Fixed.Point System5.4.4 A Hyperbolic Infinite—Fixed.Point SystemReferencesTndex
罗朝俊教授系靠前非线动力学及力学知名专家,目前为美国南伊利诺伊大学爱德华分校突出贡献研究型讲席教授。
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