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| * {{cite journal |first=A.N. |last=Sharkovskii |title=Co-existence of cycles of a continuous mapping of the line into itself |journal=Ukrainian Math. J. |volume=16 |pages=61–71 |year=1964 }} | | * {{cite journal |first=A.N. |last=Sharkovskii |title=Co-existence of cycles of a continuous mapping of the line into itself |journal=Ukrainian Math. J. |volume=16 |pages=61–71 |year=1964 }} |
− | * {{cite journal |last1=Li |first1=T.Y.|last2=Yorke |first2=J.A. |title=Period Three Implies Chaos |journal=[[American Mathematical Monthly]] |volume=82 |pages=985–92 |year=1975 |bibcode=1975AmMM...82..985L |doi=10.2307/2318254 |issue=10 |url=http://pb.math.univ.gda.pl/chaos/pdf/li-yorke.pdf |jstor=2318254 |citeseerx=10.1.1.329.5038 }} | + | * {{cite journal |last1=Li |first1=T.Y.|last2=Yorke |first2=J.A. |title=Period Three Implies Chaos |journal=American Mathematical Monthly |volume=82 |pages=985–92 |year=1975 |bibcode=1975AmMM...82..985L |doi=10.2307/2318254 |issue=10 |url=http://pb.math.univ.gda.pl/chaos/pdf/li-yorke.pdf |jstor=2318254 |citeseerx=10.1.1.329.5038 }} |
| *{{cite journal|last1=Alemansour|first1=Hamed|last2=Miandoab|first2=Ehsan Maani|last3=Pishkenari|first3=Hossein Nejat|title=Effect of size on the chaotic behavior of nano resonators|journal=Communications in Nonlinear Science and Numerical Simulation|date=March 2017|volume=44|pages=495–505|doi=10.1016/j.cnsns.2016.09.010|bibcode=2017CNSNS..44..495A}} | | *{{cite journal|last1=Alemansour|first1=Hamed|last2=Miandoab|first2=Ehsan Maani|last3=Pishkenari|first3=Hossein Nejat|title=Effect of size on the chaotic behavior of nano resonators|journal=Communications in Nonlinear Science and Numerical Simulation|date=March 2017|volume=44|pages=495–505|doi=10.1016/j.cnsns.2016.09.010|bibcode=2017CNSNS..44..495A}} |
− | * {{Cite journal |date = December 1986|title=Chaos |journal=[[Scientific American]] |volume=255 |issue=6 |pages=38–49 (bibliography p.136) |bibcode = 1986SciAm.255d..38T |last2 = Tucker |last3 = Morrison |author1 = Crutchfield|author4 = J.D. Farmer|author5 = Packard|author6=N.H. |author7=Shaw |author8|doi=10.1038/scientificamerican1286-46 }} [https://web.archive.org/web/20100612040821/http://cse.ucdavis.edu/~chaos/courses/ncaso/Readings/Chaos_SciAm1986/Chaos_SciAm1986.html Online version] (Note: the volume and page citation cited for the online text differ from that cited here. The citation here is from a photocopy, which is consistent with other citations found online that don't provide article views. The online content is identical to the hardcopy text. Citation variations are related to country of publication). | + | * {{Cite journal |date = December 1986|title=Chaos |journal=Scientific American|volume=255 |issue=6 |pages=38–49 (bibliography p.136) |bibcode = 1986SciAm.255d..38T |last2 = Tucker |last3 = Morrison |author1 = Crutchfield|author4 = J.D. Farmer|author5 = Packard|author6=N.H. |author7=Shaw |author8|doi=10.1038/scientificamerican1286-46 }} [https://web.archive.org/web/20100612040821/http://cse.ucdavis.edu/~chaos/courses/ncaso/Readings/Chaos_SciAm1986/Chaos_SciAm1986.html Online version] (Note: the volume and page citation cited for the online text differ from that cited here. The citation here is from a photocopy, which is consistent with other citations found online that don't provide article views. The online content is identical to the hardcopy text. Citation variations are related to country of publication). |
| * {{cite journal |author=Kolyada, S.F. |title=Li-Yorke sensitivity and other concepts of chaos |journal=Ukrainian Math. J. |volume=56 |pages=1242–57 |year=2004 |doi=10.1007/s11253-005-0055-4 |issue=8 |url=https://www.semanticscholar.org/paper/5834c3cdf41d979850c355b93999e785da446562 }} | | * {{cite journal |author=Kolyada, S.F. |title=Li-Yorke sensitivity and other concepts of chaos |journal=Ukrainian Math. J. |volume=56 |pages=1242–57 |year=2004 |doi=10.1007/s11253-005-0055-4 |issue=8 |url=https://www.semanticscholar.org/paper/5834c3cdf41d979850c355b93999e785da446562 }} |
| * {{cite journal | last1 = Day| first1 = R.H. | last2 = Pavlov| first2 = O.V. | year = 2004| title = Computing Economic Chaos | ssrn = 806124| journal = Computational Economics | volume = 23 | issue = 4 | pages = 289–301 | doi = 10.1023/B:CSEM.0000026787.81469.1f }} | | * {{cite journal | last1 = Day| first1 = R.H. | last2 = Pavlov| first2 = O.V. | year = 2004| title = Computing Economic Chaos | ssrn = 806124| journal = Computational Economics | volume = 23 | issue = 4 | pages = 289–301 | doi = 10.1023/B:CSEM.0000026787.81469.1f }} |
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| * {{cite book |author1=Badii, R. |author2=Politi A. |title=Complexity: hierarchical structures and scaling in physics |publisher=Cambridge University Press |year=1997 |isbn=978-0-521-66385-4 |url=http://www.cambridge.org/gb/academic/subjects/physics/statistical-physics/complexity-hierarchical-structures-and-scaling-physics}} | | * {{cite book |author1=Badii, R. |author2=Politi A. |title=Complexity: hierarchical structures and scaling in physics |publisher=Cambridge University Press |year=1997 |isbn=978-0-521-66385-4 |url=http://www.cambridge.org/gb/academic/subjects/physics/statistical-physics/complexity-hierarchical-structures-and-scaling-physics}} |
| * {{cite book |editor1-last=Bunde |editor2-first=Shlomo | editor2-last=Havlin | editor2-link=Shlomo Havlin |title=Fractals and Disordered Systems |publisher=Springer |year=1996 |isbn=978-3642848704}} and {{cite book |editor1-last=Bunde |editor2-first=Shlomo | editor2-last=Havlin | editor2-link=Shlomo Havlin |title=Fractals in Science |publisher=Springer |year=1994 |isbn=978-3-540-56220-7}} | | * {{cite book |editor1-last=Bunde |editor2-first=Shlomo | editor2-last=Havlin | editor2-link=Shlomo Havlin |title=Fractals and Disordered Systems |publisher=Springer |year=1996 |isbn=978-3642848704}} and {{cite book |editor1-last=Bunde |editor2-first=Shlomo | editor2-last=Havlin | editor2-link=Shlomo Havlin |title=Fractals in Science |publisher=Springer |year=1994 |isbn=978-3-540-56220-7}} |
− | * {{cite book| author=Collet, Pierre, and [[Jean-Pierre Eckmann|Eckmann, Jean-Pierre]]| title=Iterated Maps on the Interval as Dynamical Systems | publisher=Birkhauser | year=1980 |isbn=978-0-8176-4926-5}} | + | * {{cite book| author=Collet, Pierre, and Jean-Pierre Eckmann| title=Iterated Maps on the Interval as Dynamical Systems | publisher=Birkhauser | year=1980 |isbn=978-0-8176-4926-5}} |
| * {{cite book |last=Devaney |first=Robert L.|ref=harv |title=An Introduction to Chaotic Dynamical Systems |edition=2nd |publisher=Westview Press |year=2003 |isbn=978-0-8133-4085-2 |url=https://books.google.com/books?id=CjAnY99LwTgC}} | | * {{cite book |last=Devaney |first=Robert L.|ref=harv |title=An Introduction to Chaotic Dynamical Systems |edition=2nd |publisher=Westview Press |year=2003 |isbn=978-0-8133-4085-2 |url=https://books.google.com/books?id=CjAnY99LwTgC}} |
| * {{cite book |last=Robinson |first=Clark |ref=harv |title=Dynamical systems: Stability, symbolic dynamics, and chaos |publisher=CRC Press |year=1995 |isbn=0-8493-8493-1}} | | * {{cite book |last=Robinson |first=Clark |ref=harv |title=Dynamical systems: Stability, symbolic dynamics, and chaos |publisher=CRC Press |year=1995 |isbn=0-8493-8493-1}} |
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| * {{cite book |last=Sprott |first=Julien Clinton |title=Chaos and Time-Series Analysis |publisher=Oxford University Press |year=2003 |isbn=978-0-19-850840-3 |ref=harv |url=https://books.google.com/books?id=SEDjdjPZ158C}} | | * {{cite book |last=Sprott |first=Julien Clinton |title=Chaos and Time-Series Analysis |publisher=Oxford University Press |year=2003 |isbn=978-0-19-850840-3 |ref=harv |url=https://books.google.com/books?id=SEDjdjPZ158C}} |
| * {{cite book |author1=Tél, Tamás |author2=Gruiz, Márton |title=Chaotic dynamics: An introduction based on classical mechanics |publisher=Cambridge University Press |year=2006 |isbn=978-0-521-83912-9 |url=https://books.google.com/books?id=P2JL7s2IvakC}} | | * {{cite book |author1=Tél, Tamás |author2=Gruiz, Márton |title=Chaotic dynamics: An introduction based on classical mechanics |publisher=Cambridge University Press |year=2006 |isbn=978-0-521-83912-9 |url=https://books.google.com/books?id=P2JL7s2IvakC}} |
− | * {{cite book| last = Teschl| given = Gerald| title = Ordinary Differential Equations and Dynamical Systems| publisher=[[American Mathematical Society]]| place = [[Providence, Rhode Island|Providence]]| year = 2012| isbn= 978-0-8218-8328-0| url = http://www.mat.univie.ac.at/~gerald/ftp/book-ode/}} | + | * {{cite book| last = Teschl| given = Gerald| title = Ordinary Differential Equations and Dynamical Systems| publisher=American Mathematical Society| place =Providence, Rhode Island|Providence| year = 2012| isbn= 978-0-8218-8328-0| url = http://www.mat.univie.ac.at/~gerald/ftp/book-ode/}} |
| * {{cite book|vauthors=Thompson JM, Stewart HB | title=Nonlinear Dynamics And Chaos| publisher=John Wiley and Sons Ltd| year=2001| isbn=978-0-471-87645-8}} | | * {{cite book|vauthors=Thompson JM, Stewart HB | title=Nonlinear Dynamics And Chaos| publisher=John Wiley and Sons Ltd| year=2001| isbn=978-0-471-87645-8}} |
| * {{cite book |author1-link=Nicholas Tufillaro |last1=Tufillaro |last2=Reilly |title=An experimental approach to nonlinear dynamics and chaos |journal=American Journal of Physics |volume=61 |issue=10 |pages=[https://archive.org/details/unset0000unse_q2b7/page/958 958] |publisher=Addison-Wesley |year=1992 |isbn=978-0-201-55441-0 |bibcode=1993AmJPh..61..958T |doi=10.1119/1.17380 |url=https://archive.org/details/unset0000unse_q2b7/page/958 }} | | * {{cite book |author1-link=Nicholas Tufillaro |last1=Tufillaro |last2=Reilly |title=An experimental approach to nonlinear dynamics and chaos |journal=American Journal of Physics |volume=61 |issue=10 |pages=[https://archive.org/details/unset0000unse_q2b7/page/958 958] |publisher=Addison-Wesley |year=1992 |isbn=978-0-201-55441-0 |bibcode=1993AmJPh..61..958T |doi=10.1119/1.17380 |url=https://archive.org/details/unset0000unse_q2b7/page/958 }} |
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| ===半技术和通俗作品=== | | ===半技术和通俗作品=== |
− | * [[Christophe Letellier]], ''Chaos in Nature'', World Scientific Publishing Company, 2012。 | + | * Christophe Letellier, ''Chaos in Nature'', World Scientific Publishing Company, 2012。 |
| * {{cite book |editor1-first=Ralph H. |editor1-last=Abraham |editor2-first=Yoshisuke |editor2-last=Ueda |title=The Chaos Avant-Garde: Memoirs of the Early Days of Chaos Theory |journal=<!--Citation bot --> |volume=39 |url=https://books.google.com/books?id=0E667XpBq1UC |year=2000 |publisher=World Scientific |isbn=978-981-238-647-2 |ref=harv|bibcode=2000cagm.book.....A |last1=Abraham |first1=Ralph |display-authors=et al |doi=10.1142/4510 |series=World Scientific Series on Nonlinear Science Series A }} | | * {{cite book |editor1-first=Ralph H. |editor1-last=Abraham |editor2-first=Yoshisuke |editor2-last=Ueda |title=The Chaos Avant-Garde: Memoirs of the Early Days of Chaos Theory |journal=<!--Citation bot --> |volume=39 |url=https://books.google.com/books?id=0E667XpBq1UC |year=2000 |publisher=World Scientific |isbn=978-981-238-647-2 |ref=harv|bibcode=2000cagm.book.....A |last1=Abraham |first1=Ralph |display-authors=et al |doi=10.1142/4510 |series=World Scientific Series on Nonlinear Science Series A }} |
| * {{cite book |first=Michael F. |last=Barnsley |title=Fractals Everywhere |url=https://books.google.com/books?id=oh7NoePgmOIC |year=2000 |publisher=Morgan Kaufmann |isbn=978-0-12-079069-2}} | | * {{cite book |first=Michael F. |last=Barnsley |title=Fractals Everywhere |url=https://books.google.com/books?id=oh7NoePgmOIC |year=2000 |publisher=Morgan Kaufmann |isbn=978-0-12-079069-2}} |
| * {{cite book |first=Richard J. |last=Bird |title=Chaos and Life: Complexity and Order in Evolution and Thought |url=https://books.google.com/books?id=fv3sltQBS54C |year=2003 |publisher=Columbia University Press |isbn=978-0-231-12662-5}} | | * {{cite book |first=Richard J. |last=Bird |title=Chaos and Life: Complexity and Order in Evolution and Thought |url=https://books.google.com/books?id=fv3sltQBS54C |year=2003 |publisher=Columbia University Press |isbn=978-0-231-12662-5}} |
− | * [[John Briggs (author)|John Briggs]] and David Peat, ''Turbulent Mirror: : An Illustrated Guide to Chaos Theory and the Science of Wholeness'', Harper Perennial 1990, 224 pp. | + | * John Briggs and David Peat, ''Turbulent Mirror: : An Illustrated Guide to Chaos Theory and the Science of Wholeness'', Harper Perennial 1990, 224 pp. |
| * John Briggs and David Peat, ''Seven Life Lessons of Chaos: Spiritual Wisdom from the Science of Change'', Harper Perennial 2000, 224 pp. | | * John Briggs and David Peat, ''Seven Life Lessons of Chaos: Spiritual Wisdom from the Science of Change'', Harper Perennial 2000, 224 pp. |
| * {{cite journal |author=Cunningham, Lawrence A. |title=From Random Walks to Chaotic Crashes: The Linear Genealogy of the Efficient Capital Market Hypothesis |journal=George Washington Law Review |volume=62 |page=546 |year=1994 }} | | * {{cite journal |author=Cunningham, Lawrence A. |title=From Random Walks to Chaotic Crashes: The Linear Genealogy of the Efficient Capital Market Hypothesis |journal=George Washington Law Review |volume=62 |page=546 |year=1994 }} |
− | * [[Predrag Cvitanović]], ''Universality in Chaos'', Adam Hilger 1989, 648 pp. | + | * Predrag Cvitanović, ''Universality in Chaos'', Adam Hilger 1989, 648 pp. |
− | * [[Leon Glass]] and Michael C. Mackey, ''From Clocks to Chaos: The Rhythms of Life,'' Princeton University Press 1988, 272 pp. | + | * Leon Glass and Michael C. Mackey, ''From Clocks to Chaos: The Rhythms of Life,'' Princeton University Press 1988, 272 pp. |
− | * [[James Gleick]], ''[[Chaos: Making a New Science]]'', New York: Penguin, 1988. 368 pp. | + | * James Gleick, ''Chaos: Making a New Science'', New York: Penguin, 1988. 368 pp. |
| * {{cite book |author=John Gribbin |title=Deep Simplicity |series=Penguin Press Science |publisher=Penguin Books}} | | * {{cite book |author=John Gribbin |title=Deep Simplicity |series=Penguin Press Science |publisher=Penguin Books}} |
| * L Douglas Kiel, Euel W Elliott (ed.), ''Chaos Theory in the Social Sciences: Foundations and Applications'', University of Michigan Press, 1997, 360 pp. | | * L Douglas Kiel, Euel W Elliott (ed.), ''Chaos Theory in the Social Sciences: Foundations and Applications'', University of Michigan Press, 1997, 360 pp. |
| * Arvind Kumar, ''Chaos, Fractals and Self-Organisation; New Perspectives on Complexity in Nature '', National Book Trust, 2003. | | * Arvind Kumar, ''Chaos, Fractals and Self-Organisation; New Perspectives on Complexity in Nature '', National Book Trust, 2003. |
| * Hans Lauwerier, ''Fractals'', Princeton University Press, 1991. | | * Hans Lauwerier, ''Fractals'', Princeton University Press, 1991. |
− | * [[Edward Lorenz]], ''The Essence of Chaos'', University of Washington Press, 1996. | + | * Edward Lorenz, ''The Essence of Chaos'', University of Washington Press, 1996. |
| * {{cite book|doi=10.1142/9781860949548|title=The Unity of Nature - Wholeness and Disintegration in Ecology and Science|year=2002|last1=Marshall|first1=Alan|isbn=9781860949548}} | | * {{cite book|doi=10.1142/9781860949548|title=The Unity of Nature - Wholeness and Disintegration in Ecology and Science|year=2002|last1=Marshall|first1=Alan|isbn=9781860949548}} |
| * David Peak and Michael Frame, ''Chaos Under Control: The Art and Science of Complexity'', Freeman, 1994. | | * David Peak and Michael Frame, ''Chaos Under Control: The Art and Science of Complexity'', Freeman, 1994. |
− | * [[Heinz-Otto Peitgen]] and [[Dietmar Saupe]] (Eds.), ''The Science of Fractal Images'', Springer 1988, 312 pp. | + | * Heinz-Otto Peitgen and Dietmar Saupe(Eds.), ''The Science of Fractal Images'', Springer 1988, 312 pp. |
− | * [[Clifford A. Pickover]], ''Computers, Pattern, Chaos, and Beauty: Graphics from an Unseen World '', St Martins Pr 1991. | + | * Clifford A. Pickover, ''Computers, Pattern, Chaos, and Beauty: Graphics from an Unseen World '', St Martins Pr 1991. |
− | * [[Clifford A. Pickover]], ''Chaos in Wonderland: Visual Adventures in a Fractal World'', St Martins Pr 1994. | + | * Clifford A. Pickover, ''Chaos in Wonderland: Visual Adventures in a Fractal World'', St Martins Pr 1994. |
− | * [[Ilya Prigogine]] and [[Isabelle Stengers]], ''Order Out of Chaos'', Bantam 1984. | + | * Ilya Prigogine and Isabelle Stengers, ''Order Out of Chaos'', Bantam 1984. |
| * {{cite book|doi=10.1007/978-3-642-61717-1|title=The Beauty of Fractals|year=1986|last1=Peitgen|first1=Heinz-Otto|last2=Richter|first2=Peter H.|isbn=978-3-642-61719-5}} | | * {{cite book|doi=10.1007/978-3-642-61717-1|title=The Beauty of Fractals|year=1986|last1=Peitgen|first1=Heinz-Otto|last2=Richter|first2=Peter H.|isbn=978-3-642-61719-5}} |
− | * [[David Ruelle]], ''Chance and Chaos'', Princeton University Press 1993. | + | * David Ruelle, ''Chance and Chaos'', Princeton University Press 1993. |
− | * [[Ivars Peterson]], ''Newton's Clock: Chaos in the Solar System'', Freeman, 1993. | + | * Ivars Peterson, ''Newton's Clock: Chaos in the Solar System'', Freeman, 1993. |
| * {{cite book |author1=Ian Roulstone |author2=John Norbury |title=Invisible in the Storm: the role of mathematics in understanding weather |url=https://books.google.com/?id=qnMrFEHMrWwC|year=2013 |publisher=Princeton University Press|isbn=978-0691152721 }} | | * {{cite book |author1=Ian Roulstone |author2=John Norbury |title=Invisible in the Storm: the role of mathematics in understanding weather |url=https://books.google.com/?id=qnMrFEHMrWwC|year=2013 |publisher=Princeton University Press|isbn=978-0691152721 }} |
| * {{cite book|doi=10.1017/CBO9780511608773|title=Chaotic Evolution and Strange Attractors|year=1989|last1=Ruelle|first1=D.|isbn=9780521362726}} | | * {{cite book|doi=10.1017/CBO9780511608773|title=Chaotic Evolution and Strange Attractors|year=1989|last1=Ruelle|first1=D.|isbn=9780521362726}} |
| * Manfred Schroeder, ''Fractals, Chaos, and Power Laws'', Freeman, 1991. | | * Manfred Schroeder, ''Fractals, Chaos, and Power Laws'', Freeman, 1991. |
| * {{cite book|doi=10.1017/CBO9780511554544|title=Explaining Chaos|year=1998|last1=Smith|first1=Peter|isbn=9780511554544}} | | * {{cite book|doi=10.1017/CBO9780511554544|title=Explaining Chaos|year=1998|last1=Smith|first1=Peter|isbn=9780511554544}} |
− | * [[Ian Stewart (mathematician)|Ian Stewart]], ''Does God Play Dice?: The Mathematics of Chaos '', Blackwell Publishers, 1990. | + | * Ian Stewart, ''Does God Play Dice?: The Mathematics of Chaos '', Blackwell Publishers, 1990. |
− | * [[Steven Strogatz]], ''Sync: The emerging science of spontaneous order'', Hyperion, 2003. | + | * Steven Strogatz, ''Sync: The emerging science of spontaneous order'', Hyperion, 2003. |
| * Yoshisuke Ueda, ''The Road To Chaos'', Aerial Pr, 1993. | | * Yoshisuke Ueda, ''The Road To Chaos'', Aerial Pr, 1993. |
| * M. Mitchell Waldrop, ''Complexity : The Emerging Science at the Edge of Order and Chaos'', Simon & Schuster, 1992. | | * M. Mitchell Waldrop, ''Complexity : The Emerging Science at the Edge of Order and Chaos'', Simon & Schuster, 1992. |