65 citations · 67 across the 6 of their papers we have counts for
9 papers
Effective shadowing of transition maps for a Hamiltonian saddle-center-center equilibrium
Rodney L. Anderson, Amadeu Delshams, Marian Gidea +1
We introduce a general methodology to construct globally unstable trajectories near the normally hyperbolic invariant manifold (NHIM) of a saddle-center-center Hamiltonian equilibr…
Stochastic behavior along mean motion resonances in the restricted planar 3-body problem
Marcel Guardia, Vadim Kaloshin, Pau Martín +1
One of the most remarkable instability zones in the Solar system are Kirkwood gaps in the asteroid belt. In this paper we analyze instabilities in the famous Kirkwood gap in…
Computation of a separatrix map and a normally hyperbolic invariant lamination for the RP3BP
Marcel Guardia, Vadim Kaloshin, Pau Martín +1
In this paper we discuss the existence of a normally hyperbolic invariant lamination (NHIL) at the Kirkwood gap for the Restricted Planar Elliptic 3 Body Problem. This proble…
Semi-analytic construction of global transfers between quasi-periodic orbits in the spatial R3BP
Amadeu Delshams, Marian Gidea, Pablo Roldan
Consider the spatial restricted three-body problem, as a model for the motion of a spacecraft relative to the Sun-Earth system. We focus on the dynamics near the equilibrium point…
Continuation of relative equilibria in the --body problem to spaces of constant curvature
Abimael Bengochea, Carlos García-Azpeitia, Ernesto Pérez-Chavela +1
We prove that all non-degenerate relative equilibria of the planar Newtonian --body problem can be continued to spaces of constant curvature , positive or negative, for small…
Topological recognition of critical transitions in time series of cryptocurrencies
Marian Gidea, Daniel Goldsmith, Yuri Katz +2
We analyze the time series of four major cryptocurrencies (Bitcoin, Ethereum, Litecoin, and Ripple) before the digital market crash at the end of 2017 - beginning 2018. We introduc…