4 papers
Numerical Computation of Quasiperiodic Reducible Saddle-Node Bifurcations: a Parameterization Method Approach
Jordi-LluÃs Figueras, Joan Gimeno, Jeremy P. Parker
We present a method for computing reducible, normally hyperbolic, invariant tori with internal quasiperiodic dynamics in autonomous ordinary differential equation systems. The appr…
Effective Stability of Near-Rectilinear Halo Orbits in the Earth-Moon System
Joan Gimeno, Luke T. Peterson
Near-rectilinear halo orbits (NRHOs) around Earth-Moon L2 in the Circular Restricted 3-Body Problem (CR3BP) exhibit a complex dynamical landscape, featuring a band of normally elli…
Lag-Induced Critical Transitions to Extinction in Replicating Systems
Edward A. Turner, Francisco Crespo, Joan Gimeno +3
Replicating systems sustained by error-prone enzymatic amplification can undergo critical transitions between persistence and extinction. In RNA viruses, such transitions are class…
Persistence of hyperbolic solutions of ODE's under functional perturbations: Applications to the motion of relativistic charged particles
Joan Gimeno, Rafael de la Llave, Jiaqi Yang
We rigorously construct a variety of orbits for certain delay differential equations, including the electrodynamic equations formulated by Wheeler and Feynman in 1949. These equati…