Finding Extremal Periodic Orbits with Polynomial Optimization, with Application to a Nine-Mode Model of Shear Flow
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Publication:4961119
DOI10.1137/19M1267647zbMath1475.37094arXiv1906.04001OpenAlexW3124675710MaRDI QIDQ4961119
Mayur V. Lakshmi, Jesús D. Fernández-Caballero, Yongyun Hwang, Giovanni Fantuzzi, Sergei Chernyshenko
Publication date: 21 April 2020
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.04001
Periodic orbits of vector fields and flows (37C27) Dynamical systems approach to turbulence (76F20) Computational methods for invariant manifolds of dynamical systems (37M21)
Related Items (6)
Convex computation of maximal Lyapunov exponents ⋮ Data-driven design of safe control for polynomial systems ⋮ A converse sum of squares Lyapunov function for outer approximation of minimal attractor sets of nonlinear systems ⋮ Bounding extrema over global attractors using polynomial optimisation ⋮ Finding unstable periodic orbits: a hybrid approach with polynomial optimization ⋮ Heat transport bounds for a truncated model of Rayleigh-Bénard convection via polynomial optimization
Uses Software
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