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  • …re omitted. Bifurcation diagrams enable the visualization of [[bifurcation theory]]. …are omitted. Bifurcation diagrams enable the visualization of bifurcation theory.
    8 KB(899个字) - 2020年9月29日 (二) 22:01
  • …nstant δ expresses the limit of the ratio of distances between consecutive bifurcation diagram on ''L''<sub>''i''</sub> / ''L''<sub>''i'' + 1</sub>]] …nstant δ expresses the limit of the ratio of distances between consecutive bifurcation diagram on L<sub>i</sub> / L<sub>i + 1</sub>
    20 KB(2,191个字) - 2020年10月27日 (二) 18:31
  • …heory'''是数学中研究给定族的定性或[[拓扑结构]]的改变,例如[[向量场]]中的一族[[积分曲线]]以及[[微分方程]]的一族解。'''分岔 Bifurcation'''常用于[[动力系统]]的数学研究中,是指当系统的参数值 *局部分岔 Local bifurcations是指可用平衡点的局部稳定性、周期轨道或其他不变集作
    15 KB(893个字) - 2020年7月26日 (日) 14:12
  • * 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
  • …n|degree 2]], often cited as an archetypal example of how complex, [[chaos theory|chaotic]] behaviour can arise from very simple [[non-linear]] dynamical equ …ath|''r'' {{=}} 3}}, when it is dramatically slow, less than linear (see [[Bifurcation memory]]).
    77 KB(7,147个字) - 2020年4月29日 (三) 21:09
  • Theory, simplified models, and reconstructions of abrupt changes in the past sugge == Mathematical theory 数学理论 ==
    106 KB(11,270个字) - 2022年4月24日 (日) 15:32
  • …ral network|network]] effects). To accelerate the convergence to a unified theory, we list several models in each category, and where applicable, also refere …f many cells (network effects). To accelerate the convergence to a unified theory, we list several models in each category, and where applicable, also refere
    244 KB(27,017个字) - 2022年3月28日 (一) 21:21
  • …'') is a [[strange attractor]] observed from a physical electronic [[Chaos theory|chaotic]] circuit (generally, [[Chua's circuit]]) with a single [[Nonlinear …tp://dx.doi.org/10.1142/s0218127499001024|journal=International Journal of Bifurcation and Chaos|volume=09|issue=7|pages=1465–1466|doi=10.1142/s0218127499001024
    19 KB(2,407个字) - 2021年4月14日 (三) 11:31
  • …ed by means of a set of differential equations. Using [[bifurcation theory|bifurcation analysis]], different oscillatory varieties of these neuronal models can be …nitiated and propagated by means of a set of differential equations. Using bifurcation analysis, different oscillatory varieties of these neuronal models can be…
    187 KB(16,923个字) - 2022年3月28日 (一) 20:57
  • …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;' [[Image:Henon bifurcation map b=0.3.png|thumb|right|Orbit diagram for the Hénon map with ''b=0.3''.
    23 KB(2,971个字) - 2021年12月1日 (三) 11:19
  • …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
  • …y [[Edward Norton Lorenz|Edward Lorenz]]. It is notable for having [[Chaos theory|chaotic]] solutions for certain parameter values and initial conditions. In A [[pitchfork bifurcation]] occurs at <math>\rho = 1</math>, and for <math>\rho > 1 </math> two addit
    42 KB(4,679个字) - 2021年11月21日 (日) 19:04
  • …74-0242ac1a0005 "Yet another chaotic attractor."] International Journal of Bifurcation and Chaos, 9 (7): 1465-1466, 1999. …9-0242ac1a0005 "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
  • …tion|least action principle]]. When difference equations are employed, the theory is called [[discrete time|''discrete dynamical systems'']]. When the time… …s of a least action principle. When difference equations are employed, the theory is called discrete dynamical systems. When the time variable runs over a se
    54 KB(5,714个字) - 2022年1月15日 (六) 12:53
  • …/fractalfoundation.org/resources/what-is-chaos-theory/|title=What is Chaos Theory? – Fractal Foundation|language=en-US|access-date=2019-11-24}}</ref> [[蝴 …性。<ref>{{cite journal|date=March 2016|title=Introduction to Supersymmetric Theory of Stochastics|journal=Entropy|volume=18|issue=4|pages=108|doi=10.3390/e180
    93 KB(7,954个字) - 2020年7月18日 (六) 14:26
  • | [[File:225px-Pitchfork_bifurcation_left.png|thumb|upright=0.7|叉式分岔 a = 0,表面 b = 0]]
    15 KB(903个字) - 2021年8月1日 (日) 12:02
  • …学动力系统理论 mathematical dynamical systems theory、或动力学系统的数学理论 the mathematical theory of dynamical systems。
    24 KB(919个字) - 2021年10月24日 (日) 21:59
  • A '''dissipative system''' is a thermodynamically [[open system (systems theory)|open system]] which is operating out of, and often far from, [[thermodynam …breaking ([[anisotropy]]) and the formation of complex, sometimes [[Chaos theory|chaotic]], structures where interacting particles exhibit long range correl
    22 KB(2,237个字) - 2022年1月18日 (二) 17:17
  • …ilibrium in biological systems. The replicator equation, evolutionary game theory, Markov processes and chemical reaction networks all describe the dynamics …how it follows from a much broader philosophical framework, guided by the theory of individuation, which emphasizes the importance of relationships and inte
    79 KB(11,612个字) - 2020年10月14日 (三) 22:13
  • …。<ref name = " von Neumann2 " >von Neumann, John; Burks, Arthur W. (1966). Theory of Self-Reproducing Automata. University of Illinois Press.</ref>
    67 KB(3,572个字) - 2022年3月15日 (二) 10:06

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