Chen, Ping. “Empirical and Theoretical Evidence of Economic Chaos,” System Dynamics Review, Vol. 4, No. 1-2, 81-108 (1988). Also, Chapter 4, in Chen 2010. Thank Hai Bolin for his comment on low dimension of economic chaos.
The development of spacecraft has drawn considerable attentions in the field of dynamics since the 1950’s. The spacecraft can be regarded as a particle or as a body, depending on whether one focuses on the spacecraft’s orbital motion or on its rotational motion about the center of mass. Spacecraft attitude dynamics deals with the rotational motion of spacecraft. In the discussion of attitude dynamics, the rotation of spacecraft is usually assumed not to alter the orbit, while the orbit sometimes influences the rotational motion. Almost all spacecraft have some attitude requirements, either explicit pointing requirements for antennas or cameras, requirements for solar panel orientation, or simply a requirement for a given spin-axis direction. All the requirements are implemented by the design of attitude controls. The strategies chosen in the control process may limit the useful lifetime of the spacecraft, since an all-thruster control system depletes its propellant supply. Attitude dynamics forms a theoretical basis of the design and control of spacecraft. The present monograph is concerned with spacecraft attitude motion, although essential elements of orbital dynamics will be introduced and the effects of orbital motion will be included in a few cases. With the development of nonlinear dynamics, chaos in spacecraft attitude dynamics has stirred renewed interests since the 1990's. In fact, for astronautical investigations, the predictability of spacecraft rotations is critical, and thus chaotic motions must be avoided. On the other hand, there are scientific experiments that require the whole celestial sphere to be scanned, and in those cases the chaotic rotation may be desirable. Therefore chaos theory offers a new method and viewpoint for designing spacecraft. In addition, spacecraft attitude dynamics also provides new mathematical models for engineering application of chaos analysis. Although there are some excellent monographs and textbooks on spacecraft attitude dynamics, there are few treatises on chaotic attitude motion. The present monograph focuses on chaos in spacecraft attitude dynamics. The monograph begins with the necessary fundamentals. Chapter 1 provides a primer on spacecraft dynamics, and Chapter 2 presents a survey of chaos theory. Different chaotic attitude motions are treated in Chapters 3 and 4. Chapter 3 considers only the planar motion of spacecraft, while Chapter 4 covers the spatial motion. The monograph ends with Chapter 5, dealing with controlling chaotic attitude motion. The main goal of the monograph is to provide readers with the knowledge of theory and application of chaos and its control in spacecraft attitude dynamics, including the basic concepts, main approaches and the latest research progress. The material is appropriate for university teachers, scientists, engineers, and graduate students in the fields of mechanics, applied mathematics, and aerospace science. Except for some background presented in Chapters 1 and 2, as well as Sections 4.1 and 5.1, all other materials contained in the monograph are adopted from research papers of the authors and their co-workers. The research work was financially supported by the National Natural Science Foundation of China (Project Nos. 19782003 and 10082003), the National Outstanding Young Scientists Foundation of China (Project No. 10725209), Shanghai Municipal Development Foundation of Science and Technology (Project Nos. 98JC14032 and 98SHB1417), Shanghai Municipal Education Commission Scientific Research Project (No. 2000A12), and Shanghai Leading Academic Discipline Project (No. Y0103). The first author thanks his former PhD students Professor Peng Jianhua, Professor Chen Liqun, Dr. Cheng Gong, and his postdoctoral fellow Professor Yu Hongjie for their collaborations on related research. The second author thanks Professor Liu Yanzhu, who, serving as his PhD supervisor, introduced him to this field. He also thanks his hosts, Professor Jean W. Zu (University of Toronto) and Professor C. W. Lim (City University of Hong Kong) for their assistance during his visit to their institutes so that he could complete his portions of the book. The authors thank Tsinghua University Press and Springer for the publication of this book, and Mr. Chen Zhaohui, the editor of Academic Publishing Centre, for his enthusiastic and patient cooperation. They also thank Shanghai Jiao Tong University for partial financial support of the publication. Liu Yanzhu (Shanghai Jiao Tong University) Chen Liqun (Shanghai University)
近期，APS下属杂志今日物理Physics today出版了混沌50周年（1963-2013）的纪念文章，链接见下： http://www.physicstoday.org/resource/1/phtoad/v66/i5/p27_s1 Chaos at fifty Adilson E. Motter and David K. Campbell May 2013, page 27 "In 1963 an MIT meteorologist revealed deterministic predictability to be an illusion and gave birth to a field that still thrives...." Edward Lorenz and the butterfly effect. The Lorenz attractor ================================================== 附原文(pdf) Happy_Birthday__Dear_Chaos.pdf 扩展阅读 --- A comment on the article above Chaos at Fifty Four in 2013 见 http://xxx.tau.ac.il/abs/1306.6570
Dynamic Days Asia Pacific 7 (DDAP7) The 7th International Conference on Nonlinear Science Academia Sinica, Taipei, Taiwan, 6 August (Monday)-9 August 2012 General Information: Dynamic Days Asia Pacific (DDAP) is a regular series of international conferences rotating among Asia-Pacific countries every two years in recent years. Its purpose is to bring together researchers world-wide to discuss the most recent developments in nonlinear science. It also serves as a forum to promote regional as well as international scientific exchange and collaboration. The conference covers a variety of topics in nonlinear physics, biological physics, nonequilibrium physics, complex networks, econophysics, and quantum/classical chaos, etc. DDAP1 started in 1999 in Hong Kong, then continued in Hangzhou (DDAP2, 2002), Singapore (DDAP3, 2004), Pohang (DDAP4, 2006), Nara (DDAP5, 2008) and Sydney (DDAP6, 2010). DDAP7 will take place at Academia Sinica in Taipei, Taiwan on 6-9 August 2012. Plans for the 8th to the 9th DDAP are scheduled for India (2014) and Hong Kong (2016). Information for some former conferences: DDAP6: University of New South Wales, Sydney, Australia, 12-14 July 2010 http://conferences.science.unsw.edu.au/DDAP6/DDAP6.html DDAP5: Nara Prefectural New Public Hall, Nara, Japan, 9-12 September 2008 http://minnie.disney.phys.nara-wu.ac.jp/~toda/ddap5/ DDAP4: Pohang University of Science and Technology, Pohang, Korea, 12-14 July 2006 http://www.apctp.org/topical/ddap4/ DDAP3: National University of Singapore, Singapore, 30 June-2 July 2004 http://www.cse.nus.edu.sg/com_science/story/body.html DDAP2: Zhejian University, HangZhou, China, 8-12 August 2002 http://physics.zju.edu.cn/note/dispArticle.Asp?ID=132 DDAP1: Hong Kong Baptist University, Hong Kong, 13-16 July 1999 http://www.hkbu.edu.hk/~ddap/ Topics of the conference Chaos Pattern formation Econophysics Complex networks Protein folding and aggregation etc Organization Committee (OC) Chin Kun Hu* (huck@phys.sinica.edu.tw ) Academia Sinica: Chairperson Ming-Chya Wu* (mcwu@phys.sinica.edu.tw) National Central University: Secretary Chi Keung Chan* (ckchan@gate.sinica.edu.tw) Academia Sinica Cheng-Hung Chang (chchang@mail.nctu.edu.tw) National Chiao Tung University Chi-Ming Chen (cchen@phy.ntnu.edu.tw) National Taiwan Normal University Chi-Ning Chen (cnchen@mail.ndhu.edu.tw) National Dong Hwa University Hsuan-Yi Chen* (hschen@phy.ncu.edu.tw) National Central University Yeng-Long Chen* (yenglong@phys.sinica.edu.tw) Academia Sinica Yih-Yuh Chen (yychen@phys.ntu.edu.tw) National Taiwan University Chung-I Chou (cichou@faculty.pccu.edu.tw ) Chinese Culture University Lin-Ni Hau (lnhau@jupiter.ss.ncu.edu.tw) National Central University Ming-Chung Ho (t1603@nknucc.nknu.edu.tw) National Kaohsiung Normal University Tzay-Ming Hong (ming@phys.nthu.edu.tw) National Tsing Hua University Ding-wei Huang (dwhuang@cycu.edu.tw) Chung-Yuan Christian University Ming-Chang Huang (ming@phys.cycu.edu.tw) Chung-Yuan Christian University Kwan-Tai Leung* (leungkt@phys.sinica.edu.tw) Academia Sinica Sai-Ping Li* (spli@phys.sinica.edu.tw) Academia Sinica Sy-Sang Liaw (liaw@phys.nchu.edu.tw) National Chung Hsing University Chai-Yu Lin (lincy@phy.ccu.edu.tw) National Chung Cheng University Hsiu-Hau Lin (hsiuhau@phys.nthu.edu.tw) National Tsing Hua University Chun-Yi David Lu (cydlu@ntu.edu.tw) National Taiwan University Wen-Jong Ma* (mwj@nccu.edu.tw) National Chengchi University Ning-Ning Pang (nnp@phys.ntu.edu.tw) National Taiwan University Yuo-Hsien Shiau (yhshiau@nccu.edu.tw) National Chengchi University Chi-Tin Shih (ctshih@thu.edu.tw ) Tunghai University Hsen-Che Tseng (tseng@phys.nchu.edu.tw) National Chung Hsing University Wen-Jer Tzeng (wjtzeng@mail.tku.edu.tw) Tamkang University Zicong Zhou (zzhou@mail.tku.edu.tw ) Tamkang University *Members of Local Organization Committee International Advisory Committee (IAC) Asia-Pacific Moo Young Choi (Seoul National University, mychoi@snu.ac.kr) Robert Dewar (The Australian National University, robert.dewar@anu.edu.au) Bruce Henry (University of New South Wales, b.henry@unsw.edu.au) Gang Hu (Beijing Normal University, ganghu@bnu.edu.cn) Pak Ming Hui (The Chinese University of Hong Kong, pmhui@phy.cuhk.edu.hk) Byungnam Kahng (Seoul National University, bkahng@snu.ac.kr) Kunihiko Kaneko (The University of Tokyo, kaneko@complex.c.u-tokyo.ac.jp) Seunghwan Kim (APCTP, Pohang, swan@postech.ac.kr) Yuri S. Kivshar (The Australian National University, ysk124@physics.anu.edu.au) Takahisa Harayama (ATR Wave Engineering Laboratories, harayama@atr.jp) Yoshiki Kuramoto (Kyoto University, kuramoto@kurims.kyoto-u.ac.jp) Choy-Heng Lai (National University of Singapore, phylaich@nus.edu.sg) Baowen Li (National University of Singapore, phylibw@nus.edu.sg) Bing Hong Wang (China Univ of Science Technology, bhwang@ustc.edu.cn) Po Zheng (Zhejiang University, bozheng@zju.edu.cn) Zhigang Zheng (Beijing Normal University, zgzheng@bnu.edu.cn) Changsong Zhou (Hong Kong Baptist University, cszhou@hkbu.edu.hk) Ravindra E. Amritkar (Physical Research Laboratory, amritkar@prl.ernet.in) Mustansir Barma (Tata Institute of Fundamental Research, Mumbai, barma@theory.tifr.res.in) Abhishek Dhar (Raman Research Institute in Bangalore, dabhi@rri.res.in) Ramakrishna Ramaswamy (Jawaharlal Nehru University, New Delhi, r.ramaswamy@mail.jnu.ac.in) Europe Giulio Casati (Center for Nonlinear and Complex Systems, Via Vallegio, Giulio.Casati@uninsubria.it) Michel Peyrard (ENS de Lyon, Michel.Peyrard@ens-lyon.fr) Mogens Jensen (University of Copenhagen, mhjensen@nbi.dk) Celso Grebogi (University of Aberdeen, grebogi@abdn.ac.uk) Stefano Ruffo (University of Florence, stefano.ruffo@unifi.it) Tamas Vicsek (Etvs Loránd University (ELTE), vicsek@hal.elte.hu) America Predrag Cvitanovic (Georgia Tech., predrag@gatech.edu) Ying-Cheng Lai (Arizona State University, Ying-Cheng.Lai@asu.edu) Edward Ott (University of Maryland, edott@umd.edu) Rajarshi Roy (University of Maryland, rroy@umd.edu) Gene Stanley (Boston University, hes@bu.edu ) Host Institute Institute of Physics of Academia Sinica Sponsors: APCTP (Pohang, South Korea) Physical Society of the Republic of China (Taipei, Taiwan) National Science Council (Taipei, Taiwan) National Center for Theoretical Sciences (Taipei, Taiwan) Ministry of Education (Taipei, Taiwan) Lectures: 12 plenary lectures 12-18 invited talks in 3 parallel sessions Some contributed talks and posters * 1-2 mins short report for each poster will be arranged during poster session. 10-15 mins talk will be arranged on Aug 9 for the reporter who wins the best poster award. Important dates: 30 November 2011: collecting responses from international advisory committee 2 December 2011: preparing a list of plenary lectures and invited talks January 2012: applying NSC grant DDAP7schedule
A interesting poem The loss of a nail, a shoe bad; A bad shoe, folding of a horse; Folding of a horse, injured a cavalier; Injury of cavalier, lost a battle. Lost a battle, dead had an empire. how can we analyze some problem from concept of wholism?
标签: Chaos
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