A 3D Smale horseshoe in a hyperchaotic discrete-time system.
A methodology for the numerical computation of normal forms, centre manifolds and first integrals of Hamiltonian systems.
A note on pseudo-Anosov maps with small growth rate.
Geogebra: la eficiencia de la intuición.
Regularity of conjugacies between critical circle maps: an experimental study.
Scaling in a map of the two-torus.
Semidefinite characterisation of invariant measures for one-dimensional discrete dynamical systems
Using recent results on measure theory and algebraic geometry, we show how semidefinite programming can be used to construct invariant measures of one-dimensional discrete dynamical systems (iterated maps on a real interval). In particular we show that both discrete measures (corresponding to finite cycles) and continuous measures (corresponding to chaotic behavior) can be recovered using standard software.