Continuous Dynamical Systems=连续动力系统 英文版pdf电子书版本下载

点此进入-本书在线PDF格式电子书下载【推荐-云解压-方便快捷】直接下载PDF格式图书。移动端-PC端通用
种子下载[BT下载速度快] 温馨提示：（请使用BT下载软件FDM进行下载）软件下载地址页 直链下载[便捷但速度慢]   [在线试读本书]   [在线获取解压码]

Continuous Dynamical Systems=连续动力系统 英文版PDF格式电子书版下载

下载的文件为RAR压缩包。需要使用解压软件进行解压得到PDF格式图书。

建议使用BT下载工具Free Download Manager进行下载,简称FDM(免费,没有广告,支持多平台）。本站资源全部打包为BT种子。所以需要使用专业的BT下载软件进行下载。如 BitComet qBittorrent uTorrent等BT下载工具。迅雷目前由于本站不是热门资源。不推荐使用！后期资源热门了。安装了迅雷也可以迅雷进行下载！

（文件页数 要大于 标注页数，上中下等多册电子书除外）

注意：本站所有压缩包均有解压码： 点击下载压缩包解压工具

Chapter 1 Linear Systems and Stability 1

1.1 Linear systems with distinct eigenvalues 1

1.2 Operator exponentials 7

1.3 Linear systems with repeated eigenvalues 8

1.4 Nonhomogeneous linear systems 18

1.5 Linear systems with periodic coefficients 21

1.6 Stability and boundary 22

1.7 Lower-dimensional linear systems 33

1.7.1 One-dimensional linear systems 33

1.7.2 Planar linear systems 35

1.7.3 Three-dimensional linear systems 41

References 53

Chapter 2 Stability Switching and Bifurcation 55

2.1 Continuous dynamical systems 55

2.2 Equilibriums and stability 58

2.3 Bifurcation and stability switching 70

2.3.1 Stability and switching 76

2.3.2 Bifurcations 95

2.3.3 Lyapunov functions and stability 106

References 106

Chapter 3 Analytical Periodic Flows and Chaos 109

3.1 Analytical periodic flows 109

3.1.1 Autonomous nonlinear systems 109

3.1.2 Periodically forced nonlinear systems 117

3.2 Nonlinear vibration systems 121

3.2.1 Free vibration systems 121

3.2.2 Periodically forced vibration systems 131

3.3 A periodically forced Duffing oscillator 135

References 165

Chapter 4 Global Transversality and Chaos 167

4.1 Nonlinear dynamical systems 167

4.2 Local and global flows 171

4.3 Global transversality 176

4.4 Global tangency 184

4.5 Perturbed Hamiltonian systems 192

4.6 Two-dimensional Hamiltonian systems 196

4.7 First integral quantity increment 201

4.8 A damped Duffing oscillator 204

4.8.1 Conditions for global transversality and tangency 206

4.8.2 Poincare mapping and mapping structures 211

4.8.3 Bifurcation scenario 217

4.8.4 Numerical illustrations 223

References 236

Chapter 5 Resonance and Hamiltonian Chaos 237

5.1 Stochastic layers 237

5.1.1 Definitions 237

5.1.2 Approximate criteria 241

5.2 Resonant separatrix layers 250

5.2.1 Layer dynamics 252

5.2.2 Approximate criteria 257

5.3 A periodically forced Duffing oscillator 262

5.3.1 Approximate predictions 262

5.3.2 Numerical illustrations 269

5.4 Concluding remarks 282

References 283

Index 285