7 citations · 27 across the 10 of their papers we have counts for
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nlin.CD2017★ 7 cited
Exact relations between homoclinic and periodic orbit actions in chaotic systems
Jizhou Li, Steven Tomsovic
Homoclinic and unstable periodic orbits in chaotic systems play central roles in various semiclassical sum rules. The interferences between terms are governed by the action functio…
nlin.CD2017★ 5 cited
Geometric determination of heteroclinic and unstable periodic orbit classical actions
Jizhou Li, Steven Tomsovic
Semiclassical sum rules, such as the Gutzwiller trace formula, depend on the properties of periodic, closed, or homoclinic (heteroclinic) orbits. The interferences embedded in such…