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math.DS2026
Computation of minimal periods for ordinary differential equations
Jeremy P. Parker, David Goluskin
A framework is presented for lower-bounding periods among periodic solutions to an autonomous dynamical system governed by ordinary differential equations. For a chosen dynamical s…
math.DS2026
Computation of attractor dimension and maximal sums of Lyapunov exponents using polynomial optimization
Jeremy P Parker, David Goluskin
Two approaches are presented for computing upper bounds on Lyapunov exponents and their sums, and on the Lyapunov dimension, among all trajectories of a dynamical system governed b…