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Conjecture on the structure of separatrix splitting in slowly varied integrable systems
Consider an integrable system whose parameters vary slowly in time, with the associated invariant manifolds, separatrix splitting, and homoclinic intersections defined analogously…
Conjectureopendynamical-systems scattering-maps separatrix-splittingarXiv posted 2 days ago
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Exponential bound for the stability constant in the $mu_1$ estimate
Exponential bound conjecture. The proof gives
Conjectureopeninverse-problems scattering-maps weighted-sobolev-spacesarXiv posted 2 days ago

Conjecture on the structure of separatrix splitting in slowly varied integrable systems