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\nChaos: The Science of the Butterfly Effect\n

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\n\nPublisher:\n\nVeritasium\n\n\n
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\nI have long wanted to make a video about chaos, ever since reading James Gleick's fantastic book, Chaos. I hope this video gives an idea of phase space - a picture of dynamical systems in which each point completely represents the state...\nI have long wanted to make a video about chaos, ever since reading James Gleick's fantastic book, Chaos. I hope this video gives an idea of phase space - a picture of dynamical systems in which each point completely represents the state of the system. For a pendulum, phase space is only 2-dimensional and you can get orbits (in the case of an undamped pendulum) or an inward spiral (in the case of a pendulum with friction). For the Lorenz equations we need three dimensions to show the phase space. The attractor you find for these equations is said to be strange and chaotic because there is no loop, only infinite curves that never intersect. This explains why the motion is so unpredictable - two different initial conditions that are very close together can end up arbitrarily far apart.\n
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Resource Details

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Curator Rating
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Educator Rating
Not yet Rated
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Media Length
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11:33
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Grade
9th - Higher Ed
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Subjects
Science
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Media Type
Instructional Videos
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Source:
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\nVeritasium\n\n
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Date
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2019
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Language
English
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Audiences
For Teacher Use
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Usage Permissions
Fine Print: Educational Use
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Concepts

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time, plot, dynamics
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Additional Tags

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veritasium, science, butterfly effect, butterfly, chaos, chaos theory, non-linear, attractor, lorenz, phase space, tornado, theory, sensitive dependence, initial conditions, pendulum, chaotic, lastpass, lastpass login, password, password generator, lastpass chrome, lastpass download, lastpass premium, random password generator, generate password, password manager, recover, lastpas, laspass, lastpass premium features, delete account mobogram, lastpass.com, last password, final state, initial state, body problem, solar system, double pendulum, chaotic systems, state, systems, loop, motions, problem, computer, point, called, system, future, back, people, unpredictable
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Classroom Considerations

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Best For: Explaining a topic
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Educator Ratings

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\n\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Chaos: The Science of the Butterfly Effect\" href=\"/subscription/new\">\"Chaos:\n\n
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