Question
Coexisting coherent and incoherent states, later termed “Chimera states,” were discovered in a 2002 paper by this physicist and Battogtokh. For 10 points each:
[10h] Name this physicist, the namesake of a model in which oscillators are coupled by an interaction proportional to “sine of theta i minus theta j” in order to model synchronization.
ANSWER: Yoshiki Kuramoto
[10e] The coherent state in the Kuramoto model corresponds to a state where this variable is “locked.” For a resonant harmonic oscillator, the difference between the values of this cyclic variable for the displacement and forcing is pi-over-2 radians.
ANSWER: phase [accept phase-locking; accept phase difference]
[10m] Regions in parameter space where phase-locking occurs may be denoted by this mathematician’s namesake “tongues.” A theorem regarding integrable systems is named for this mathematician, Kolmogorov, and Moser.
ANSWER: Vladimir Arnold [accept Arnold tongues]
<DC, Physics>
Data
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total |
|---|---|---|---|---|---|
| LMM's LLM MLM | BHSU B | 0 | 0 | 10 | 10 |
Summary
| Tournament | Edition | Exact Match? | Heard | PPB | Easy % | Medium % | Hard % |
|---|---|---|---|---|---|---|---|
| 2024 Chicago Open | 07/28/2024 | Y | 1 | 10.00 | 0% | 100% | 0% |