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 (10[1])one of these systems. (10[1])Long build-ups (10[1])followed by sudden discharges are characteristic (10[1]-5[1])of (-5[1])the (-5[1])“relaxation” type of these systems. Cartwright (10[1])and Littlewood studied (10[1])a nonlinear (10[1])one of these systems named for Dutch engineer Balthasar van der Pol. (10[3])The time (10[2])evolution (10[1])of one type of these (10[1])systems traces an ellipse (10[1])in phase space. The dissipation of one type of these systems is described by their Q-factor. (10[3])An LC (10[1]-5[1])circuit behaves as one of these systems, (10[4]-5[2])as it satisfies the generic differential equation, (10[2])“mx-double-dot (10[1])equals minus kx.” (10[2])For 10 points, (10[1])Hooke’s law describes (10[1])the “simple harmonic” (10[1])type (10[1])of what systems? (10[2])■END■ (10[6]0[2])

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>
= Average correct buzz position

Buzzes

PlayerTeamOpponentBuzz PositionValue
David BassJohns HopkinsNYU A3010
Karthik PrasadCornell BCornell A3410
Jason Qin (DII)Columbia CColumbia B3610
Natan HoltzmanStanford BStanford A4210
Michael MaysImperial ASheffield42-5
Cade ReinbergerRIT BBinghamton43-5
Andrew HannaPennRowan44-5
Shardul RaoMinnesota BArizona State5010
Luke SerrraglioOhio State BMichigan C5310
Ivan Stanisavljevic (DII)Duke A (UG)Maryland A (Grad)5510
Swapnil GargBerkeley ABerkeley C6710
Geoffrey Wu (UG)Columbia AVassar6710
Jerry VinokurovJohn JayHaverford6710
Carlos DoebeliImperial BCambridge B6910
Jacob RobertsonOxford ACambridge C6910
Maxwell YeCambridge ADurham B7010
JD KrothIowa StateMinnesota C7510
Jim Fan (Grad)UNC A (Grad)JMU A (UG)7910
Alexander BakerOxford BKCL9510
Kai MadgwickDurham ABristol9510
Rohan DalalGeorgia Tech BMTSU9510
Jonathan Bost (UG)Liberty A (Grad)JMU B (UG)97-5
Calvin Bostleman (DII)Ohio State AKenyon9710
Pranav VeluriBerkeley BStanford C104-5
Kenny Zhang (UG)Virginia A (UG)William & Mary A (UG)10410
Vedang Singhal (DII)UNC D (DII)Maryland C (DII)104-5
Corey SmithKentuckyGeorgia Tech A10410
Alex JiangBrown ABrandeis B10410
Justin DuffyHarvard AYale B10410
Will HooverRIT ACornell C11110
Dennis Yang (DII)Michigan BCedarville11110
Rasheeq Azad (UG)UNC B (UG)Virginia B (UG)11210
Davin SivertsonAlabamaSouth Carolina11510
Jake MarkusDartmouth BBoston University11510
Dillon PatelWarwickOxford C11810
Blake EnwillerVanderbilt BVanderbilt A12110
Derek Works (DII)Liberty B (DII)Maryland B (UG)12410
Caden HausteinHardingTennessee12510
Patrick Torre (DII)Maryland C (DII)UNC D (DII)12810
Ian DewanKielEdinburgh12810
Allan LeeStanford CBerkeley B12910
Sophie EttingerBinghamtonRIT B12910
Ian He (UG)UNC C (UG)GWU B (Grad)12910
Andrew Amygdalos (UG)GWU A (UG)Liberty C (DII)12910
Miller Doer (DII)Liberty C (DII)GWU A (UG)1290
Zander Werner (DII)Virginia C (UG)Roanoke College A (DII)12910
Ashish KumbhardareRowanPenn1290
Andrew FisherSheffieldImperial A12910