Question

Jacques Hadamard proved that this property occurs with a free particle moving on a compact Riemann surface of genus 2, called a Bolza surface. A system with this property cannot flip if the quantity [read slowly] “3 times cosine of theta-1 plus cosine of theta-2” is at least 2. This property is exhibited by a circuit containing a diode that has (-5[1])nonlinear negative resistance. In systems with this property, points lying in a basin of attraction converge (10[1])to a strange attractor. This property is characterized by a positive Lyapunov exponent and is indicated by a period-doubling (10[1])bifurcation. This property is exhibited (10[1])by the logistic map and double pendulum. For 10 (10[1])points, name this (10[1])property in which a system is extremely sensitive to initial conditions, which results in a “butterfly effect.” ■END■ (10[1])

ANSWER: chaos [accept chaotic maps]
<Physics>
= Average correct buzz position

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Jason QinColumbia BYale A60-5
Richard NiuCornell CRutgers A7610
Albert ZhangColumbia ANYU A9510
Danny HanPenn APrinceton A10010
Jupiter DingPrinceton BNYU B10910
Arjun BothraHaverfordYale B11210
Karsten RynearsonYale AColumbia B13010

Summary

2023 ACF Winter @ Columbia11/11/2023Y6100%0%17%103.67