2 problems

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Positive Lyapunov exponent conjecture for the repeller at onset
Consider the repeller in the quasi-periodically forced logistic map system at the onset of its disappearance, where the onset is associated with a non-uniform saddle-node bifurcati…
Conjectureopendynamical-systems lyapunov-exponents quasi-periodic-forcingarXiv posted 2 days ago
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Conjecture on the boundary of existence of the unstable invariant curve in the forced logistic map
Let $x_{\alpha,\varepsilon}$ be the invariant curve obtained by continuation of the invariant curve $x_{\alpha,0}(\theta)=1-1/\alpha$ for $\varepsilon>0$ . The constraints described…
Conjectureopendynamical-systems logistic-map quasi-periodic-forcingarXiv posted 2 days ago

Positive Lyapunov exponent conjecture for the repeller at onset