Double Pendulum Undergraduate Research Symposium.pdf

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• Camerao Lighting• Energy FunctionChallenges/Problems• Tracking & InterpolationoCircle Sizeso Could Switch Direction

Lyapunov Exponent• 4 parameters: θ,Φ, δθ, δΦ• |δZ(t)|≈|δZ(t 0 )|e λt• At least 1 positive to showchaotic behavior• Rosenstein Method• Nearest Neighbors• Temporal SeparationUO Undergraduate ResearchSymposium

• Camerao Lighting• Energy FunctionChallenges/Problems• Tracking & InterpolationoCircle Sizeso Could Switch Direction

Page 1 and 2: Measuring Chaos in a DoublePendulum
Page 3 and 4: Two Modes of AttackSimulationPhysic
Page 5: Phase Space Plots• 4 parameters:
Page 9 and 10: Special Thanks to• Professor Eric
Page 11 and 12: Lyapunov Exponent Calculation

Double Pendulum Undergraduate Research Symposium.pdf

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