TITLE: Beauty and Disappearance of an Unstable Orbit
CAT# (YEAR COMPOSED): 96 (2017)
INSTRUMENTATION: ob., cl., perc., pno., vla., db.
DURATION (APPROX): 14’16
The title refers to the sudden destruction of a torus (two independent frequency contours) that occurs when a neighboring unstable periodic orbit, possibly preceded by a transition into a weakly chaotic attractor, collides with that torus.
Musically, this is represented by fast moving tori that break up and disappear, while slower and timbrally diverse regions reference aria and recitative.
[Influenced by the paper: Franceschini, V., Tebaldi, C: Breaking and Disappearance of Tori. Commun. Math. Phys. 94, 317-329 (1984)]