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20212026
most citedVariational methods for finding periodic orbits in the incompressible Navier-Stokes equations

26 citations · 35 across the 6 of their papers we have counts for

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math.DS2026

Numerical Computation of Quasiperiodic Reducible Saddle-Node Bifurcations: a Parameterization Method Approach

Jordi-Lluís 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…

math.DS2024★ 5 cited

Ghost states underlying spatial and temporal patterns: how non-existing invariant solutions control nonlinear dynamics

Zheng Zheng, Pierre Beck, Tian Yang +3

Close to a saddle-node bifurcation, when two invariant solutions collide and disappear, the behavior of a dynamical system can closely resemble that of a solution which is no longe…