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动态域上的不连续动力学系统：英文版PDF|Epub|txt|kindle电子书版本网盘下载
- 罗朝俊著 著
- 出版社： 北京：高等教育出版社
- ISBN：9787040257595
- 出版时间：2009
- 标注页数：222页
- 文件大小：28MB
- 文件页数：232页
- 主题词：系统动力学－研究－英文
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图书目录
1 Introduction1
1.1 Discontinuous systems1
1.2 Book layout5
References6
2 Flow Switchability9
2.1 Discontinuous dynamic systems9
2.2 G-functions11
2.3 Passable flows15
2.4 Non-passable flows19
2.5 Tangential flows28
2.6 Switching bifurcations39
References52
3 Transversality and Sliding Phenomena55
3.1 A controlled system55
3.2 Transversality conditions57
3.3 Mappings and predictions60
3.4 Periodic and chaotic motions67
References75
4 A Frictional Oscillator on Time-varying Belt77
4.1 Mechanical model77
4.2 Analytical conditions80
4.2.1 Equations of motion80
4.2.2 Passable flows to boundary83
4.2.3 Sliding flows on boundary85
4.24 Grazing flows to boundary89
4.3 Generic mappings and force product criteria91
4.3.1 Generic mappings91
4.3.2 Sliding flows and fragmentation93
4.3.3 Grazing flows96
4.4 Periodic motions98
4.4.1 Mapping structures98
4.4.2 Illustrations100
4.5 Numerical simulations112
References113
5 Two Oscillators with Impacts and Stick115
5.1 Physical problem115
5.1.1 Introduction to problem115
5.1.2 Equations of motion117
5.2 Domains and vector fields119
5.2.1 Absolute motion description119
5.2.2 Relative motion description125
5.3 Mechanism of stick and grazing127
5.3.1 Analytical conditions128
5.3.2 Physical interpretation133
5.4 Mapping structures and motions134
5.4.1 Switching sets and basic mappings134
5.4.2 Mapping equations137
5.4.3 Mapping structures141
5.4.4 Bifurcation scenario144
5.5 Periodic motion prediction144
5.5.1 Approach145
5.5.2 Impacting chatter147
5.5.3 Impacting chatter with stick150
5.5.4 Parameter maps152
5.6 Numerical illustrations153
5.6.1 Impacting chatter153
5.6.2 Impacting chatter with stick155
5.6.3 Further illustrations158
References160
6 Dynamical Systems with Frictions161
6.1 Problem statement161
6.2 Switching and stick motions164
6.2.1 Equations of motion164
6.2.2 Analytical conditions166
6.3 Periodic motions172
6.3.1 Switching planes and mappings172
6.3.2 Mapping structures and motions175
6.3.3 Bifurcation scenario178
6.4 Numerical illustrations181
6.4.1 Periodic motion without stick181
6.4.2 Periodic motion with stick184
6.4.3 Periodic motion with stick only189
References189
7 Principles for System Interactions191
7.1 Two dynamical systems191
7.1.1 Dynamical systems with interactions191
7.1.2 Discontinuous description195
7.1.3 Resultant dynamical systems196
7.2 Fundamental interactions199
7.3 Interactions with singularity206
7.4 Interactions with corner singularity210
References215
Appendix217
A.1 Basic solution217
A.2 Stability and bifurcation219
Index221