3 citations · 6 across the 4 of their papers we have counts for
4 papers
State dependent delay maps: numerical algorithms and dynamics of projections
J. D. Mireles James, Francis Motta, Vincent Naudot
This work concerns the dynamics of a certain class of delay differential equations (DDEs) which we refer to as state dependent delay maps. These maps are generated by delay differe…
Higher Order Birkhoff Averages
Thomas Jordan, Vincent Naudot, Todd Young
There are well-known examples of dynamical systems for which the Birkhoff averages with respect to a given observable along some or all of the orbits do not converge. It has been s…
Width of homoclinic zone for quadratic maps
Vassili Gelfreich, Vincent Naudot
We study several families of planar quadratic diffeomorphisms near a Bogdanov-Takens bifurcation. For each family, the associate bifurcation diagram can be deduced from the interpo…
Nearly-integrable perturbations of the Lagrange top: applications of KAM-theory
H. W. Broer, H. Hanßmann, J. Hoo +1
Motivated by the Lagrange top coupled to an oscillator, we consider the quasi-periodic Hamiltonian Hopf bifurcation. To this end, we develop the normal linear stability theory of a…