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Variational Continuation for Double Pendulum Periodic Orbits

Yao, Leo et al.
arXiv (All) · Papers
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chaotic-dynamicsclassical-physicsmachine-learningmathematical-physics
We present a Hessian-based approach to numerically continue periodic orbits in dynamical systems. A loop (periodic orbit candidate) is parametrized as a Fourier series; a loss function is defined based on the deviation of the loop from the physical differential equations. Unlike previous work relyin
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