On the sighting of unicorns: A variational approach to computing invariant sets in dynamical systems
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Publication:4644232
DOI10.1063/1.4983468zbMath1390.37140arXiv1610.04843OpenAlexW2532470853WikidataQ47777159 ScholiaQ47777159MaRDI QIDQ4644232
Oliver Junge, Ioannis G. Kevrekidis
Publication date: 30 May 2018
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.04843
Invariant manifold theory for dynamical systems (37D10) Approximation methods and numerical treatment of dynamical systems (37M99)
Related Items (3)
Convex computation of extremal invariant measures of nonlinear dynamical systems and Markov processes ⋮ On sample-based computations of invariant sets ⋮ Global Invariant Manifolds of Dynamical Systems with the Compatible Cell Mapping Method
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Cites Work
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- The computation of convex invariant sets via Newton's method
- A procedure for finding numerical trajectories on chaotic saddles
- Numerical computation of invariant circles of maps
- Repellers, semi-attractors, and long-lived chaotic transients
- The constitution of matter: existence of thermodynamics for systems composed of electrons and nuclei.
- A subdivision algorithm for the computation of unstable manifolds and global attractors
- The PIM-simplex method: an extension of the PIM-triple method to saddles with an arbitrary number of expanding directions
- A Rigorous Numerical Method for the Global Analysis of Infinite-Dimensional Discrete Dynamical Systems
- Globalizing Two-Dimensional Unstable Manifolds of Maps
- THE PATH TOWARDS A LONGER LIFE: ON INVARIANT SETS AND THE ESCAPE TIME LANDSCAPE
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