5 problems

Consider the described sequence of inclination flip bifurcation points and associated curves in the Shimizu–Morioka system, including the points $A_4^2$, $A_8^2$, $A_{16}^2$, and…

Let $l_{A=0}$ be the curve where the first tangency between $E^{ss}$ and $E^{cu}$ occurs, let $\Lambda_1$ denote the relevant Lyapunov exponent, and let $\nu(O)$ be the quantity as…

Singular-hyperbolic extension conjecture. The results stated in Theorems,, and are true for all $G\in{\mathcal U}$.

Let $M$ be the ambient manifold, let $\mathcal{U}\subset \mathfrak{X}^s(M)$ be the open family of vector fields for which the paper proves exponential decay of correlations, and le…

Let a Lorenz attractor be generated by a flow of regularity $C^{1+\alpha}$. The Lorenz-attractor conjecture. $C^{1+\alpha}$ Lorenz attractors have robust exponential decay of corre…