Question

The collective behavior of many interacting examples of these systems is described in the Kuramoto model. The expression “mu times the quantity 1 minus x-squared” multiplies x-dot in an ODE describing one of these systems. Long build-ups followed by sudden discharges are characteristic (10[1])of the “relaxation” type of these systems. Cartwright and Littlewood studied a nonlinear one of these systems named for Dutch engineer Balthasar van der Pol. (10[1])The time evolution of one type of these systems traces an ellipse in phase space. The dissipation of one type of these systems is described by their Q-factor. An LC circuit behaves as one of these systems, (-5[1])as it satisfies the generic differential equation, “mx-double-dot equals minus kx.” For 10 points, Hooke’s law describes the “simple harmonic” type of what systems? ■END■ (10[1])

ANSWER: oscillators [accept van der Pol oscillator; accept simple harmonic oscillators or damped oscillators; reject “QHO” or “quantum harmonic oscillators”; accept relaxation oscillators; prompt on dynamical systems; prompt on springs or pendulums by asking “what type of system does that exemplify?”]
<Physics>
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Buzzes

PlayerTeamOpponentBuzz PositionValue
Natan HoltzmanStanford BStanford A4210
Swapnil GargBerkeley ABerkeley C6710
Pranav VeluriBerkeley BStanford C104-5
Allan LeeStanford CBerkeley B12910