# Approximating strange attractors and Lyapunov exponents of delay differential equations using Galerkin projections

@article{Sadath2018ApproximatingSA, title={Approximating strange attractors and Lyapunov exponents of delay differential equations using Galerkin projections}, author={Anwar Sadath and Thomas K. Uchida and Chandrika Prakash Vyasarayani}, journal={arXiv: Computational Physics}, year={2018} }

Delay differential equations (DDEs) are infinite-dimensional systems, so even a scalar, unforced nonlinear DDE can exhibit chaos. Lyapunov exponents are indicators of chaos and can be computed by comparing the evolution of infinitesimally close trajectories. We convert DDEs into partial differential equations with nonlinear boundary conditions, then into ordinary differential equations (ODEs) using the Galerkin projection. The solution of the resulting ODEs approximates that of the original DDE…

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