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  • …of the most studied examples of [[dynamical system]]s that exhibit [[chaos theory|chaotic behavior]]. The Hénon map takes a point (''x<sub>n</sub>'',&nbsp;' …t value for the given value of ''a''. Notice the ''satellite'' regions of chaos and periodicity around ''a=1.075'' -- these can arise depending upon initia
    23 KB(2,971个字) - 2021年12月1日 (三) 11:19
  • …"Yet another chaotic attractor."] International Journal of Bifurcation and Chaos, 9 (7): 1465-1466, 1999. …A new chaotic attractor coined."] International Journal of Bifurcation and Chaos, 12(3): 659-661, 2002.
    12 KB(414个字) - 2020年5月16日 (六) 11:53
  • …Psychology, and Life Sciences, Vol. 12, No. 1 |publisher=Society for Chaos Theory in Psychology & Life Sciences }}</ref>且Benoît B. Mandelbrot在1980年发
    50 KB(3,181个字) - 2022年4月16日 (六) 23:01
  • …udy, we arrive at a basic model explaining these observations based on the theory of phase transitions in complex systems. We studied the link between spatia ''Since its introduction in the 1960s, the theory of innovation diffusion has contributed to the advancement of several resea
    70 KB(9,988个字) - 2020年10月14日 (三) 22:12
  • …rzba, Chaos: Classical and Quantum Appendix H version 15.9, (2017), http://chaosbook.org/version15/chapters/appendMeasure.pdf</ref>), named after [[Bernard
    11 KB(1,225个字) - 2022年7月29日 (五) 09:02
  • In [[mathematics]], specifically [[bifurcation theory]], the '''Feigenbaum constants''' are two [[mathematical constant]]s which In mathematics, specifically bifurcation theory, the Feigenbaum constants are two mathematical constants which both express
    20 KB(2,191个字) - 2020年10月27日 (二) 18:31
  • '''分岔理论 Bifurcation theory'''是数学中研究给定族的定性或[[拓扑结构]]的改变,例如
    15 KB(893个字) - 2020年7月26日 (日) 14:12
  • …研究,在中国科学、Phys. Rev. E、New J. of Phys.、Automatica、IEEE Tran. on Cybernetics、Chaos、Sci. Rep.等国内外期刊发表50余篇SCI论文(2篇入选ESI高被引 …interests include nonlinear dynamics, artificial intelligence, and control theory.
    72 KB(1,930个字) - 2021年6月28日 (一) 16:34
  • …ges=033118|doi=10.1063/1.2964200|pmid=19045456|arxiv=0803.2252|bibcode=2008Chaos..18c3118G}}</ref><ref>{{cite journal|last1=Stephenson|first1=C.|last2=et.|f
    20 KB(1,128个字) - 2020年11月17日 (二) 11:02
  • …|last1=Hudson |first1= J.L. |last2=Mankin |first2= J.C. |date= 1981 |title=Chaos in the Belousov–Zhabotinskii reaction|journal= J. Chem. Phys. |volume=74 …|last1=Hudson |first1= J.L. |last2=Mankin |first2= J.C. |date= 1981 |title=Chaos in the Belousov–Zhabotinskii reaction|journal= J. Chem. Phys. |volume=74
    22 KB(2,336个字) - 2022年5月9日 (一) 21:08
  • …2=May|first2=Robert|title=Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series|journal=Nature|date=1990|volume=344|p …ry-lord-dies-aged-84|title=Robert May, former UK chief scientist and chaos theory pioneer, dies aged 84|date=2020-04-29|website=the Guardian|language=en|acce
    39 KB(1,527个字) - 2020年5月17日 (日) 14:17
  • [[File:Chaosgame.gif|thumb|right|250px|通过[[chaos game]] (动画) 构建的一个IFS]] …(对于收缩型IFS,即使对于任何非空的闭合有界集<math>A</math>,也会发生这种收敛。)。任意接近''S''的随机元素可以通过下面描述的 "chaos game "获得。
    15 KB(901个字) - 2021年12月5日 (日) 13:06
  • …ulence''' or '''turbulent flow''' is fluid motion characterized by [[Chaos theory|chaotic]] changes in [[pressure]] and [[flow velocity]]. It is in contrast …ssia]]n mathematician [[Andrey Kolmogorov]] proposed the first statistical theory of turbulence, based on the aforementioned notion of the energy cascade (an
    86 KB(10,186个字) - 2022年6月2日 (四) 00:26
  • …url=http://tejas.iimb.ac.in/articles/12.php|title=Insights from Complexity Theory: Understanding Organisations better |publisher= by Assoc. Prof. Amit Gupta, …_whole_looks_at_complexity_theory_which_wants_to_understand.html|title=The Theory of Everything and Then Some|last=Auerbach|first=David|date=2016-01-19|work=
    35 KB(2,235个字) - 2020年11月21日 (六) 00:10
  • *[[Dynamical systems and chaos theory]] *[[Chaos theory]]
    6 KB(541个字) - 2020年10月25日 (日) 21:10
  • …<ref name="G&P 1971">Glansdorff, P., Prigogine, I. (1971). ''Thermodynamic Theory of Structure, Stability and Fluctuations'', Wiley-Interscience, London.</re …r out of chaos ”<ref>Prigogine, I. and Stengers, I. (1984). ''Order out of chaos: Man's new dialogue with nature''. Bantam Books.</ref>。它也应用在用
    45 KB(3,398个字) - 2023年1月17日 (二) 20:32
  • …Julia set consists of values such that an arbitrarily small [[Perturbation theory|perturbation]] can cause drastic changes in the sequence of iterated functi …he Fatou set is "regular", while on the Julia set its behavior is "[[chaos theory|chaotic]]".
    77 KB(10,720个字) - 2020年10月27日 (二) 22:08
  • …co.uk. 17 July 1998. Retrieved 12 March 2012.</ref><ref>"Time and Change". Chaosforum.com. 28 May 2003. Archived from the original on 25 April 2012. Retriev …End of Certainty》和《新的联盟——科学的形变 La Nouvelle Alliance》(《从混沌到有序 Order out of Chaos》)。
    15 KB(937个字) - 2021年6月23日 (三) 20:57
  • | 个人主页 ||[http://chaos1.la.asu.edu/~yclai/book.html 主页链接]
    13 KB(791个字) - 2020年8月21日 (五) 08:42
  • 尤根·库思发表了500余篇学术论文和出版了8部著作。目前,他担任了10余个科学期刊的编委,其中包括:CHAOS、Philosoph.Trans、Royal Soc. A、 PLoS ONE、 Europ. J. Physics ST、J. N *2000-2011年 '''分叉与混乱 Int. Journal Bifurcation & Chaos'''
    14 KB(600个字) - 2020年10月14日 (三) 22:19
  • * Recent development of mathematical tools such as [[chaos theory]] to help understand complex, non-linear mechanisms in biology * Recent development of mathematical tools such as chaos theory to help understand complex, non-linear mechanisms in biology
    75 KB(8,339个字) - 2022年6月10日 (五) 19:25
  • …球、大气与行星科学系,洛伦茨在1987年成为名誉教授之前,一直担任该系教授。<ref>"Edward Lorenz, father of chaos theory and butterfly effect, dies at 90" (PDF). MIT Tech Talk. 2008-04-30. Retriev …与维克多·斯塔尔在麻省理工学院共同开展了“大气环流”项目,以了解天气系统在确定大气环流的能量学方面所起的作用。<ref>The Nature and Theory of the General Circulation of the Atmosphere" (PDF).</ref>
    9 KB(230个字) - 2020年10月14日 (三) 11:38
  • …eiger D, Rosemann M, Fielt E. Crowdsourcing information systems: a systems theory perspective. InProceedings of the 22nd Australasian Conference on Informati …eiger D, Rosemann M, Fielt E. Crowdsourcing information systems: a systems theory perspective. InProceedings of the 22nd Australasian Conference on Informati
    247 KB(27,473个字) - 2022年1月15日 (六) 12:01
  • …0px|缩略图|右|小世界网络的例子 中心比其他节点大 平均[https://en.wikipedia.org/wiki/Degree_(graph_theory) 度]3.833 平均最短路径长度1.803 [https://en.wikipedia.org/wiki/Clu …le:第二个图.png|200px|缩略图|右|随机图 平均[https://en.wikipedia.org/wiki/Degree_(graph_theory) 度]2.833 平均最短路径长度2.109 [https://en.wikipedia.org/wiki/Clu
    30 KB(2,123个字) - 2023年1月17日 (二) 22:39
  • *副标题: The Emerging Science at the Edge of Order and Chaos …ead, they are gathering novel ideas about interconnectedness, coevolution, chaos, structure, and order - and they're forging them into an entirely new, unif
    54 KB(617个字) - 2020年10月14日 (三) 22:14
  • *[[多米诺理论 Domino theory]] ====[https://campus.swarma.org/course/1647 Chaos and the Butterfly Effect]====
    5 KB(137个字) - 2022年1月22日 (六) 05:21
  • …almazelmélet axiomatikus felépítése (Axiomatic construction of general set theory) [[Class (set theory)]]|
    427 KB(49,934个字) - 2022年6月10日 (五) 19:19
  • …uthor1=Thomas M. Cover|author2=Joy A. Thomas|title=Elements of Information Theory|url=https://books.google.com/books?id=VWq5GG6ycxMC=PT16|year=2012|publisher …er|last2=Thorarinsdottir|first2=Thordis L.|title=What Happened to Discrete Chaos, the Quenouille Process, and the Sharp Markov Property? Some History of Sto
    139 KB(13,874个字) - 2022年3月12日 (六) 08:41
  • '''Ergodic theory''' ([[Ancient Greek|Greek]]: "work", "way") is a branch of [[mathematics]] …y theory, is based on general notions of [[Measure (mathematics)|measure]] theory. Its initial development was motivated by problems of [[statistical physic
    39 KB(4,090个字) - 2022年10月12日 (三) 15:43
  • ==复杂社会系统中的危机:以智利事件为例的一个社会理论观点 (Crisis in complex social systems: A social theory view illustrated with the chilean case) == …rab Spring, the Occupy Wall Street movement, Ukraine's Euromaidan, and the chaos generated by the England Riots and Boston Marathon bombing manhunt. There…
    135 KB(12,045个字) - 2020年10月14日 (三) 22:02
  • …st = McCormmach | first = Russell | title = Henri Poincaré and the Quantum Theory | journal = Isis | volume = 58 | issue = 1 | pages = 37–55 | date =Spring …非椭球体(包括环形和梨形)等平衡图形的存在性及其稳定性。这项天文发现奖(1900年)被英国皇家天文学会授予。<ref>A. Kozenko, The theory of planetary figures, pages = 25–26, September 2019</ref>
    61 KB(3,264个字) - 2022年1月9日 (日) 12:30
  • …aniel Bernoulli]]最早提出基于'''效用 Utility'''的偏好。新古典主义经济理论 Neoclassical Economic Theory的创始人之一,前耶鲁大学经济学教授[[欧文·费歇尔 Irvin
    26 KB(2,033个字) - 2021年7月17日 (六) 21:57
  • …Motive Power of Heat, and on the Laws which can be deduced from it for the Theory of Heat | publisher = Poggendorff's Annalen der Physik, LXXIX (Dover Reprin …MSAAAAIAAJ&q=On+an+Absolute+Thermometric+Scale+Founded+on+Carnot%E2%80%99s+Theory&pg=PA100
    91 KB(10,078个字) - 2022年5月4日 (三) 09:28
  • …in the future than was available in the past. Additionally, [[Perturbation theory (quantum mechanics)|perturbation]]s in the energy density grow (eventually …t the boundary conditions of the early universe. According to the Big Bang theory, the Universe was initially very hot with energy distributed uniformly. For
    77 KB(9,110个字) - 2022年3月28日 (一) 03:19
  • …ropagated by means of a set of differential equations. Using [[bifurcation theory|bifurcation analysis]], different oscillatory varieties of these neuronal… …gan, AR Krauskopf, M di Bernado, RE Wilson (Eds.), Nonlinear dynamics and chaos: where do we go from here?</ref>
    187 KB(16,923个字) - 2022年3月28日 (一) 20:57
  • …itle = The Re-Emergence of "Emergence": A Venerable Concept in Search of a Theory | year = 2002 | journal = Complexity | volume = 7 | pages = 18–30 | issue …the Protestant ethic: Weber and the chemistry of capitalism'. Sociological Theory, vol 28, no. 1, pp. 108–26.{{cite web |url=http://aura.abdn.ac.uk/bitstre
    67 KB(3,436个字) - 2022年6月17日 (五) 16:05
  • …i Bénard, a French physicist, in 1900. <!-- The experiment illustrated the theory of dissipative systems. <=== this statement needs to be explained in contex …ion. In general the solutions to the Rayleigh and Pearson analysis (linear theory) assuming an infinite horizontal layer gives rise to degeneracy meaning tha
    27 KB(3,153个字) - 2020年11月16日 (一) 21:51
  • …librium thermodynamic systems is a field theory, more complicated than the theory of equilibrium thermodynamics. Non-equilibrium thermodynamics is a growing …librium thermodynamic systems is a field theory, more complicated than the theory of equilibrium thermodynamics. Non-equilibrium thermodynamics is a growing
    86 KB(9,841个字) - 2022年6月1日 (三) 10:16
  • ==信息论 Information theory ==
    10 KB(772个字) - 2020年11月8日 (日) 17:31
  • …sities still use analog computers to teach [[Control theory|control system theory]]. The American company Comdyna manufactured small analog computers.<ref na …one. A few universities still use analog computers to teach control system theory. The American company Comdyna manufactured small analog computers. At India
    121 KB(13,399个字) - 2022年6月10日 (五) 19:04
  • …=Van1981>Van Kampen N G. Stochastic processes in chemistry and physics[J]. Chaos, 1981.</ref><ref Name=Ross1996>Ross S M. Stochastic Processes. John Wiley… …=Van1981>Van Kampen N G. Stochastic processes in chemistry and physics[J]. Chaos, 1981.</ref><ref Name=Ross1996>Ross S M. Stochastic Processes. John Wiley…
    17 KB(1,928个字) - 2022年7月23日 (六) 17:51
  • …cal Review, 64, 153-181</ref><ref name = "ts" >Staddon, J. E. R. (1978). Theory of behavioral power functions. Psychological Review, 85, 305-320.</ref> , …e="jizhi">Sornette, Didier (2006). Critical Phenomena in Natural Sciences: Chaos, Fractals, Self-organization and Disorder: Concepts and Tools. Springer Ser
    59 KB(4,545个字) - 2021年1月10日 (日) 20:51
  • …ournal | author = Chao Tang and Per Bak | year = 1988 | title = Mean field theory of self-organized critical phenomena | journal = Journal of Statistical Phy …03>{{cite journal | author = Dewar, R. | year = 2003 | title = Information theory explanation of the fluctuation theorem, maximum entropy production and self
    22 KB(1,538个字) - 2021年9月23日 (四) 19:54
  • …an [[unstable fixed point]].<ref>Istratescu, Vasile (1981). ''Fixed Point Theory, An Introduction'', D. Reidel, Holland. {{ISBN|90-277-1224-7}}.</ref> …general insight into many iterated functions, especially those leading to chaos.
    60 KB(8,060个字) - 2020年7月26日 (日) 21:38
  • …therspoon|first1=T.|last2=Hubler|first2=A.|title=Adaptation to the edge of chaos with random-wavelet feedback|journal=J. Phys. Chem. A|date=2009|doi=10.1021
    35 KB(1,633个字) - 2021年10月31日 (日) 15:58
  • …d |last2=Wallman |first2=Henry |authorlink2=Henry Wallman |title=Dimension Theory |url=https://archive.org/details/in.ernet.dli.2015.84609 |publisher=Princet
    25 KB(1,517个字) - 2022年1月21日 (五) 17:01
  • *[[Chaos theory]] *Chaos theory
    7 KB(697个字) - 2022年7月4日 (一) 10:46
  • …10.1063/1.3670008|pmid=22757527|issn=1054-1500|arxiv=1408.4890|bibcode=2012Chaos..22b3120G}}</ref>,这启发了最初的'''<font color="#ff8000">范德波 * {{cite book |author=Steven H. Strogatz |title=Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering |publish
    9 KB(661个字) - 2021年1月10日 (日) 22:36
  • *Ben-Yishai, R; Bar-Or, R L and Sompolinsky, H (1995). Theory of orientation tuning in visual cortex. ''Proceedings of the National Acade *Hansel, D and Sompolinsky, H (1996). Chaos and synchrony in a model of a hypercolumn in visual cortex. ''Journal of Co
    61 KB(6,049个字) - 2022年6月15日 (三) 16:02
  • …inger, N. and T. Natschlager (2004). "Real-time computation at the edge of chaos in recurrent neural networks." Neural Comput 16(7): 1413-36. * Harris TE (1989). The theory of branching processes. New York: Dover.
    19 KB(951个字) - 2022年7月23日 (六) 10:59

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