动态域上的不连续动力学系统

2009年高等教育出版社出版的图书，作者是罗朝俊。

• 书名 动态域上的不连续动力学系统
• 作者 罗朝俊
• 出版社 高等教育出版社
• 出版时间 2009年5月1日
• 定价 46 元

内容介绍

　　Discontinuous Dynamical Sy来自stems on Time-varying Domains is the fi治常组贵笑神策rst monograph focusing on this to头pic. While in the classic theory of dynamical systems the f360百科ocus is on dynamical systems on time-invariant domains, this book presents discontinuous dynamical systems on time-varying domains where the corresponding switchability of 赶具论静延烟歌a flow to the time-varying boundary in discontinuous dynamical systems is discussed. From such a theory, principles of dynamical system interactions without any 杀或营异务physical connections are presented. Several discontinuous systems on time-varying domains are analyzed in detail to show how to apply the theory to practical problems. The book can serve as a reference book for researchers, advanced undergraduate and graduate students in mathematics, physics and mechanics.

作者简介

　　Dr. Albert C. J. 油换标转市哪Luo is a professor at 对心出衡城Southern Illinois Univers食阶矛沙临ity Edwardsville, USA. His resea易安世rch is involved 志斯祖点留制们in the nonlinear 效析东抗theory of dynamical systems. His main contributi犯本此试合实厚及背工ons are in the following aspects: a stochastic and resonan刑则威t layer theory in nonlinear Ha缺式绍氧征已miltonian systems, singularity on discontinuous dynamical systems, and approximate nonlinear theories for a deformable-body.

图书目录

阿置早肉沉虽　　1 Introduction

　　1.1 Discontinuous systems

　　1.2 Book l派击损感血ayout

　　References

　　2 Flow Switcha来自bility

　　2.1 Discontinuous dynamic systems

　　2.2 G-functions

　　士调可帮乐2.3 Passable flows

　　2.4 Non-passable flows

　　2.5 Tangential flows

　　2.6 Switchin360百科g bifurcat英具沉显京有福孩升ions

　　References

　　3 Transversality and Sliding Phenomena

　　3.1 A controlled system

　　3.2 Transversality conditions

　　3.3 Mappings and predictions

　　3.4 Periodic and chaotic motions

　　References

　　4 A Frictio李分氢风背促识营困nal Oscillator on Time-varying Belt

　　4.1 Mechanical model

　　4.2 Analytical conditions

　　4.2.1 Equa及音住会tions of motion

　　4.2.2 Pas操那刻找sable flows to boundary

　　4.2.3 Sli确越万试试ding flows on boundary

　　4.2.4 Grazing flows to boundary

　　4.3 Generic mappings and for段均掉正重树乎高信儿非ce product crite钟ria...

　　4.3.1 Generic mappings

　　4.3.2 Sliding flows and fragmentation

　　4.3.3 Grazing flows

　　4.4 Periodic motions

　　4.4.1 Mapping structures

　　4.4.2 Illustrations

处报　　4.5 Numerical simulations

　　References

　　5 Two Oscillators wi矛所转th Impact矛武s and Stick

　　5.1 Physical problem

　　5.1.1 Introduction to problem

　　5.1.2 Equations of motion

　　5.2 Domains and vector fields

　　5.2.1 Absolute motion description

　　5.2.2 Relative mot院ion description

　　5.3 Mechanism of stick and grazing

　　5.3.1 Analytical con教ditions

　　5.3.2 P曲拉适若棉余呢齐液快风hysical i劳研证互望气断应nterpretation

　　5.4 Mapping structures and motions

　　5.4.1 Switching sets and basic mappings

　　5.4.2 Mapping equations

　　5.4.3 Mapping structures

　　5.4.4 Bifurcation scenario

　　5.5 Periodic motion prediction

　　5.5.1 Approach

　　5.5.2 Impacting chatter

　　5.5.3 Impacting chatter with stick

　　5.5.4 Parameter maps

　　5.6 Numerical illustrations

　　5.6.1 Impacting chat请究兰额迫松身察ter

　　5.6.2 Impacting chatter with stick

　　5.6.3 Further illustrations

　　References

　　6 Dynamical Systems with Frictions

　　6.1 Problem statement

　　6.2 Switching and stick motions

　　6.2.1 Equations of motion

　　6.2.2 Analytical conditions

　　6.3 Periodic motions

　　6.3.1 Switching planes and mappings

　　6.3.2 Mapping structures and motions

　　6.3.3 Bifurcation scenario

　　6.4 Numerical illustrations

　　6.4.1 Periodic motion without stick

　　6.4.2 Periodic motion with stick

　　6.4.3 Periodic motion with stick only

　　References

　　7 Principles for System Interactions

　　7.1 Two dynamical systems

　　7.1.1 Dynamical systems with interactions

　　7.1.2 Discontinuous description

　　7.1.3 Resultant dynamical systems

　　7.2 Fundamental interactions

　　7.3 Interactions with singularity

　　7.4 Interactions with comer singularity

　　References

　　Appendix

　　A.1 Basic solution

　　A.2 Stability and bifurcation

　　Index