Determination of the basin of attraction of a periodic orbit in two dimensions using meshless collocation

DOI10.3934/jcd.2016010zbMath1369.37027OpenAlexW2604876967MaRDI QIDQ523964

Peter Giesl, James McMichen

Publication date: 25 April 2017

Published in: Journal of Computational Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jcd.2016010

zbMATH Keywords

basin of attractionerror estimateperiodic orbitcontraction metricmeshless collocation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Periodic orbits of vector fields and flows (37C27) Stability theory for smooth dynamical systems (37C75) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items

Determination of the area of exponential attraction in one-dimensional finite-time systems using meshless collocation ⋮ Review on contraction analysis and computation of contraction metrics ⋮ Determination of the basin of attraction of a periodic orbit in two dimensions using meshless collocation

Cites Work

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