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 nonlinear negative resistance. In systems with this property, points lying in a basin of attraction converge to a strange attractor. This property is characterized by a positive Lyapunov exponent and is indicated by a period-doubling bifurcation. This property is exhibited by the logistic map and double pendulum. For 10 points, name this property in which a system is extremely sensitive to initial conditions, which results in a “butterfly effect.” ■END■
Buzzes
Player | Team | Opponent | Buzz Position | Value |
---|---|---|---|---|
Jason Qin | Columbia B | Yale A | 60 | -5 |
Richard Niu | Cornell C | Rutgers A | 76 | 10 |
Albert Zhang | Columbia A | NYU A | 95 | 10 |
Danny Han | Penn A | Princeton A | 100 | 10 |
Jupiter Ding | Princeton B | NYU B | 109 | 10 |
Arjun Bothra | Haverford | Yale B | 112 | 10 |
Karsten Rynearson | Yale A | Columbia B | 130 | 10 |