3 problems

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Genericity of tube rupture in nonautonomous tube-integrable systems
A nonautonomous tube-integrable system is a time-dependent dynamical system whose motion is confined to time-dependent invariant tubes in an extended phase space. Tube-rupture gene…
Conjectureopendynamical-systems integrable-systems nonautonomous-dynamicsarXiv posted 2 days ago
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Unique smoothest spectral submanifold conjecture for temporally aperiodic systems
Unique smoothest spectral submanifold conjecture. Just as in the time-periodic and time-quasiperiodic cases, a unique member of the $W(E,t)$ family of manifolds should be smoother…
Conjectureopenmodel-reduction nonautonomous-dynamics spectral-submanifoldsarXiv posted 2 days ago
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DC2-pair conjecture for pointwise limits of nonautonomous interval systems
Let $(I,f_{1,\infty})$ be a nonautonomous dynamical system with positive topological entropy, and suppose that $f_{1,\infty}$ converges pointwise to a map in $\mathcal C$ . A pair o…
Conjectureopendistributional-chaos nonautonomous-dynamics topological-entropyarXiv posted 2 days ago

Genericity of tube rupture in nonautonomous tube-integrable systems