39 citations · 163 across the 22 of their papers we have counts for
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math.DS2017
Computation of Domains of Analyticity for the dissipative standard map in the limit of small dissipation
Adrian P. Bustamante, Renato C. Calleja
Conformally symplectic systems include mechanical systems with a friction proportional to the velocity. Geometrically, these systems transform a symplectic form into a multiple of…
math.DS2017★ 12 cited
Symmetries and choreographies in families bifurcating from the polygonal relative equilibrium of the -body problem
Renato Calleja, Eusebius Doedel, Carlos García-Azpeitia
We use numerical continuation and bifurcation techniques in a boundary value setting to follow Lyapunov families of periodic orbits. These arise from the polygonal system of bo…