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  2. Double pendulum - Wikipedia

    en.wikipedia.org/wiki/Double_pendulum

    A double pendulum consists of two pendulums attached end to end.. In physics and mathematics, in the area of dynamical systems, a double pendulum, also known as a chaotic pendulum, is a pendulum with another pendulum attached to its end, forming a simple physical system that exhibits rich dynamic behavior with a strong sensitivity to initial conditions. [1]

  3. Chaos theory - Wikipedia

    en.wikipedia.org/wiki/Chaos_theory

    A plot of the Lorenz attractor for values r = 28, σ = 10, b = ⁠ 8 / 3 ⁠ An animation of a double-rod pendulum at an intermediate energy showing chaotic behavior. Starting the pendulum from a slightly different initial condition would result in a vastly different trajectory. The double-rod pendulum is one of the simplest dynamical systems ...

  4. Butterfly effect - Wikipedia

    en.wikipedia.org/wiki/Butterfly_effect

    A plot of Lorenz' strange attractor for values ρ=28, σ = 10, β = 8/3. The butterfly effect or sensitive dependence on initial conditions is the property of a dynamical system that, starting from any of various arbitrarily close alternative initial conditions on the attractor, the iterated points will become arbitrarily spread out from each other.

  5. List of chaotic maps - Wikipedia

    en.wikipedia.org/wiki/List_of_chaotic_maps

    In mathematics, a chaotic map is a map (an evolution function) that exhibits some sort of chaotic behavior.Maps may be parameterized by a discrete-time or a continuous-time parameter.

  6. Dynamical billiards - Wikipedia

    en.wikipedia.org/wiki/Dynamical_billiards

    A particle moving inside the Bunimovich stadium, a well-known chaotic billiard. See the Software section for making such an animation. A dynamical billiard is a dynamical system in which a particle alternates between free motion (typically as a straight line) and specular reflections from a boundary.

  7. Oscar Predictions 2013 - The Huffington Post

    data.huffingtonpost.com/2013/01/oscar-predictions

    Don't rely on bloviating pundits to tell you who'll prevail on Hollywood's big night. The Huffington Post crunched the stats on every Oscar nominee of the past 30 years to produce a scientific metric for predicting the winners at the 2013 Academy Awards.

  8. 5 Items From the 1970s That Are Worth a Lot of Money - AOL

    www.aol.com/5-items-1970s-worth-lot-170007423.html

    Technically, anything over 20 years old can be coined “vintage.”But when you truly think of items worth this title, your brain doesn’t go to Beanie Babies.

  9. Duffing equation - Wikipedia

    en.wikipedia.org/wiki/Duffing_equation

    The animation has time offset so driving force is ⁡ rather than ⁡ ().) The Duffing equation (or Duffing oscillator), named after Georg Duffing (1861–1944), is a non-linear second-order differential equation used to model certain damped and driven oscillators.