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We examine spectral operator-theoretic properties of linear and nonlinear dynamical systems with globally stable attractors.
Hamiltonian systems and transformation in Hilbert space
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Ergodic theory
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Geometry in the neighborhood of invariant manifolds of maps and flows and linearization
Urs Kirchgraber and Kenneth James Palmer · 1990
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Introduction to Applied Nonlinear Dynamical Systems and Chaos
Stephen Wiggins · 1990
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Composition operators on function spaces
Raj Kishor Singh and Jasbir Singh Manhas · 1993
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Composition operators on function spaces
RK Singh and JS Manhas · 1993
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Chaos, Fractals and Noise
A. Lasota and M. C. Mackey · 1994
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On Geometrical and Statistical Properties of Dynamical Systems: Theory and Applications
I. Mezić · 1994
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Spectral signature of the pitchfork bifurcation: Liouville equation approach
P. Gaspard, G. Nicolis, A. Provata, and S. Tasaki · 1995
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Liouvillian dynamics of the Hopf bifurcation
Pierre Gaspard and Shuichi Tasaki · 2001
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Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
John Guckenheimer and Philip Holmes · 2002
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Nonlinear systems analysis
Mathukumalli Vidyasagar · 2002
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Composition operators on the fock space
Brent Carswell, Barbara D MacCluer, and Alex Schuster · 2003
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Differential equations and dynamical systems
Lawrence Perko · 2013
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Ryan Mohr and Igor Mezić · 2014
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Data fusion via intrinsic dynamic variables: An application of data-driven Koopman spectral analysis
Matthew O Williams, Clarence W Rowley, Igor Mezić, and Ioannis G Kevrekidis · 2015
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Spatiotemporal feature extraction with data-driven koopman operators
Dimitrios Giannakis, Joanna Slawinska, and Zhizhen Zhao · 2015
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A Prony approximation of Koopman mode decomposition
Yoshihiko Susuki and Igor Mezi c · 2015
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