On the Approximation of Koopman Spectra of Measure-Preserving Flows

DOI10.1137/19M1282908zbMath1490.37103arXiv1806.10296OpenAlexW3127953541MaRDI QIDQ4983529

Igor Mezić, Nithin Govindarajan, Ryan Mohr, Shivkumar Chandrasekaran

Publication date: 20 April 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10296

zbMATH Keywords

Koopman operatorperiodic approximationsmeasure preserving flows

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items

The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems

Cites Work

• Unnamed Item
• Unnamed Item
• On the history of the isomorphism problem of dynamical systems with special regard to von Neumann's contribution
• Comparison of numerical schemes for solving the advection equation
• Area preservation in computational fluid dynamics
• Comparison of systems with complex behavior
• Passive scalars, three-dimensional volume-preserving maps, and chaos
• Spectral properties of dynamical systems, model reduction and decompositions
• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• Applied Koopmanism
• On the Approximation of Complicated Dynamical Behavior
• Constructing Permutations that Approximate Lebesgue Measure Preserving Dynamical Systems Under Spatial Discretization
• Hamiltonian Systems and Transformation in Hilbert Space
• On the Approximation of Koopman Spectra for Measure Preserving Transformations
• APPROXIMATIONS IN ERGODIC THEORY
• Approximation of measure preserving transformations
• Approximation Theories for Measure Preserving Transformations