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1

Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator

Arbabi, Hassan, Mezić, Igor

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2017

Language:

english

File:

PDF, 3.74 MB

english, 2017

2

Spectral Properties of Dynamical Systems, Model Reduction and Decompositions

Journal:

Nonlinear Dynamics

Year:

2005

Language:

english

File:

PDF, 419 KB

english, 2005

3

Spectral analysis of nonlinear flows

ROWLEY, CLARENCE W., MEZIĆ, IGOR, BAGHERI, SHERVIN, SCHLATTER, PHILIPP, HENNINGSON, DAN S.

Journal:

Journal of Fluid Mechanics

Year:

2009

Language:

english

File:

PDF, 1018 KB

english, 2009

4

Applied Koopmanism

Budišić, Marko, Mohr, Ryan, Mezić, Igor

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2012

Language:

english

File:

PDF, 8.44 MB

english, 2012

5

Analysis of Fluid Flows via Spectral Properties of the Koopman Operator

Journal:

Annual Review of Fluid Mechanics

Year:

2013

Language:

english

File:

PDF, 882 KB

english, 2013

6

Koopman Operator Family Spectrum for Nonautonomous Systems

Maćešić, Senka, Črnjarić-Žic, Nelida, Mezić, Igor

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2018

Language:

english

File:

PDF, 2.08 MB

english, 2018

7

Optimal construction of Koopman eigenfunctions for prediction and control

Korda, Milan, Mezic, Igor

Journal:

IEEE Transactions on Automatic Control

Year:

2020

File:

PDF, 537 KB

2020

8

Nonlinear Koopman Modes and Power System Stability Assessment Without Models

Susuki, Yoshihiko, Mezic, Igor

Journal:

IEEE Transactions on Power Systems

Year:

2014

Language:

english

File:

PDF, 1.50 MB

english, 2014

9

Ergodic theory and visualization. I. Mesochronic plots for visualization of ergodic partition and invariant sets

Levnajić, Zoran, Mezić, Igor

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2010

Language:

english

File:

PDF, 19.34 MB

english, 2010

10

Applied Koopman operator theory for power systems technology

Susuki, Yoshihiko, Mezic, Igor, Raak, Fredrik, Hikihara, Takashi

Journal:

Nonlinear Theory and Its Applications IEICE

Year:

2016

Language:

english

File:

PDF, 1.19 MB

english, 2016

11

Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control

Korda, Milan, Mezić, Igor

Journal:

Year:

2018

Language:

english

File:

PDF, 1.00 MB

english, 2018

12

Data-driven spectral analysis of the Koopman operator

Korda, Milan, Putinar, Mihai, Mezić, Igor

Journal:

Applied and Computational Harmonic Analysis

Year:

2018

Language:

english

File:

PDF, 3.36 MB

english, 2018

13

An agent-based model of urban insurgence: Effect of gathering sites and Koopman mode analysis

Fonoberova, Maria, Mezić, Igor, Mezić, Jadranka, Mohr, Ryan, Horvath, Denis

Journal:

Year:

2018

Language:

english

File:

PDF, 20.59 MB

english, 2018

14

Transverse momentum micromixer optimization with evolution strategies

Sibylle D. Müller, Igor Mezić, Jens H. Walther, Petros Koumoutsakos

Journal:

Computers & Fluids

Year:

2004

Language:

english

File:

PDF, 376 KB

english, 2004

15

Model reduction for agent-based social simulation: Coarse-graining a civil violence model

Zou, Yu, Fonoberov, Vladimir A., Fonoberova, Maria, Mezic, Igor, Kevrekidis, Ioannis G.

Journal:

Physical Review E

Year:

2012

Language:

english

File:

PDF, 2.19 MB

english, 2012

16

Maximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows

Mezić, Igor, Brady, John F., Wiggins, Stephen

Journal:

SIAM Journal on Applied Mathematics

Year:

1996

Language:

english

File:

PDF, 1.92 MB

english, 1996

17

Linearization in the large of nonlinear systems and Koopman operator spectrum

Yueheng Lan, Igor Mezić

Journal:

Physica D: Nonlinear Phenomena

Year:

2013

Language:

english

File:

PDF, 480 KB

english, 2013

18

Ergodic theory and experimental visualization of invariant sets in chaotically advected flows

Mezić, Igor, Sotiropoulos, Fotis

Journal:

Physics of Fluids

Year:

2002

Language:

english

File:

PDF, 543 KB

english, 2002

19

Minimum time heading control of underpowered vehicles in time-varying ocean currents

Rhoads, Blane, Mezić, Igor, Poje, Andrew C.

Journal:

Ocean Engineering

Year:

2013

Language:

english

File:

PDF, 13.62 MB

english, 2013

20

Global sensitivity/uncertainty analysis for agent-based models

Fonoberova, Maria, Fonoberov, Vladimir A., Mezić, Igor

Journal:

Reliability Engineering & System Safety

Year:

2013

Language:

english

File:

PDF, 1.12 MB

english, 2013

21

Maximal Effective Diffusivity for Time-Periodic Incompressible Fluid Flows

Igor Mezic, John F. Brady and Stephen Wiggins

Journal:

SIAM Journal on Applied Mathematics

Year:

1996

Language:

english

File:

PDF, 1.52 MB

english, 1996

22

Uncertainty and sensitivity decomposition of building energy models

Eisenhower, Bryan, O'Neill, Zheng, Fonoberov, Vladimir A., Mezić, Igor

Journal:

Journal of Building Performance Simulation

Year:

2012

Language:

english

File:

PDF, 1.31 MB

english, 2012

23

Data fusion via intrinsic dynamic variables: An application of data-driven Koopman spectral analysis

Williams, Matthew O., Rowley, Clarence W., Mezić, Igor, Kevrekidis, Ioannis G.

Journal:

EPL (Europhysics Letters)

Year:

2015

Language:

english

File:

PDF, 664 KB

english, 2015

24

Searching for Targets of Nonuniform Size Using Mixing Transformations: Constructive Upper Bounds and Limit Laws

Mohr, Ryan, Mezić, Igor

Journal:

Journal of Nonlinear Science

Year:

2015

Language:

english

File:

PDF, 1.08 MB

english, 2015

25

Implications of Systems Dynamic Models and Control Theory for Environmental Approaches to the Prevention of Alcohol- and Other Drug Use-Related Problems

Gorman, D. M., Gruenewald, P. J., Hanlon, P. J., Mezic, Igor, Waller, Lance A., Castillo-Chavez, Carlos, Bradley, Elizabeth, Mezic, Jadranka

Journal:

Substance Use & Misuse

Year:

2004

Language:

english

File:

PDF, 298 KB

english, 2004

26

An extension of Prandtl–Batchelor theory and consequences for chaotic advection

Journal:

Physics of Fluids

Year:

2002

Language:

english

File:

PDF, 370 KB

english, 2002

27

Global stability analysis using the eigenfunctions of the Koopman operator

Mauroy, Alexandre, Mezic, Igor

Journal:

IEEE Transactions on Automatic Control

Year:

2016

Language:

english

File:

PDF, 710 KB

english, 2016

28

On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator

Korda, Milan, Mezić, Igor

Journal:

Journal of Nonlinear Science

Year:

2017

Language:

english

File:

PDF, 730 KB

english, 2017

29

Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State-Space Geometry

Journal:

Journal of Nonlinear Science

Year:

2019

File:

PDF, 849 KB

2019

30

Scalable approach to uncertainty quantification and robust design of interconnected dynamical systems

Andrzej Banaszuk, Vladimir A. Fonoberov, Thomas A. Frewen, Marin Kobilarov, George Mathew, Igor Mezic, Alessandro Pinto, Tuhin Sahai, Harshad Sane, Alberto Speranzon, Amit Surana

Journal:

Annual Reviews in Control

Year:

2011

Language:

english

File:

PDF, 2.97 MB

english, 2011

31

Uncertainty propagation in dynamical systems

Igor Mezić, Thordur Runolfsson

Journal:

Year:

2008

Language:

english

File:

PDF, 2.01 MB

english, 2008

32

Comparison of systems with complex behavior

Igor Mezić, Andrzej Banaszuk

Journal:

Physica D: Nonlinear Phenomena

Year:

2004

Language:

english

File:

PDF, 1.12 MB

english, 2004

33

A multiscale measure for mixing

George Mathew, Igor Mezić, Linda Petzold

Journal:

Physica D: Nonlinear Phenomena

Year:

2005

Language:

english

File:

PDF, 995 KB

english, 2005

34

Capturing deviation from ergodicity at different scales

Sherry E. Scott, Thomas C. Redd, Leonid Kuznetsov, Igor Mezić, Christopher K.R.T. Jones

Journal:

Physica D: Nonlinear Phenomena

Year:

2009

Language:

english

File:

PDF, 5.07 MB

english, 2009

35

Metrics for ergodicity and design of ergodic dynamics for multi-agent systems

George Mathew, Igor Mezić

Journal:

Physica D: Nonlinear Phenomena

Year:

2011

Language:

english

File:

PDF, 3.57 MB

english, 2011

36

Hybrid dynamics of two coupled oscillators that can impact a fixed stop

André Xavier C.N. Valente, N.H. McClamroch, Igor Mezić

Journal:

International Journal of Non-Linear Mechanics

Year:

2003

Language:

english

File:

PDF, 182 KB

english, 2003

37

Break-up of invariant surfaces in action–angle–angle maps and flows

Journal:

Physica D: Nonlinear Phenomena

Year:

2001

Language:

english

File:

PDF, 287 KB

english, 2001

38

Weak finite-time Melnikov theory and 3D viscous perturbations of Euler flows

Sanjeeva Balasuriya, Igor Mezić, Christopher K.R.T. Jones

Journal:

Physica D: Nonlinear Phenomena

Year:

2003

Language:

english

File:

PDF, 235 KB

english, 2003

39

FKG inequalities in cellular automata and coupled map lattices

Journal:

Physica D: Nonlinear Phenomena

Year:

1997

Language:

english

File:

PDF, 650 KB

english, 1997

40

Regular and chaotic particle motion near a helical vortex filament

Igor Mezić, Anthony Leonard, Stephen Wiggins

Journal:

Physica D: Nonlinear Phenomena

Year:

1998

Language:

english

File:

PDF, 1.19 MB

english, 1998

41

Statistical properties of controlled fluid flows with applications to control of mixing

Domenico D'Alessandro, Igor Mezić, Mohammed Dahleh

Journal:

Systems & Control Letters

Year:

2002

Language:

english

File:

PDF, 141 KB

english, 2002

42

On the architecture of cell regulation networks

Yueheng Lan, Igor Mezić

Journal:

BMC Systems Biology

Year:

2011

Language:

english

File:

PDF, 1.35 MB

english, 2011

43

Coherent Swing Instability of Power Grids

Yoshihiko Susuki, Igor Mezić, Takashi Hikihara

Journal:

Journal of Nonlinear Science

Year:

2011

Language:

english

File:

PDF, 2.64 MB

english, 2011

44

New pathway for self-assembly and emergent properties

Meredith M. Murr, Gunjan S. Thakur, Youli Li, Hiro Tsuruta, Igor Mezic, Daniel E. Morse

Journal:

Year:

2009

Language:

english

File:

PDF, 1.42 MB

english, 2009

45

Erratum to “New pathway for hierarchical self assembly and emergent properties” [NanoToday 4 (2) (2009) 116–124]

Meredith M. Murr, Gunjan S. Thakur, Youli Li, Hiro Tsuruta, Igor Mezic, Daniel E. Morse

Journal:

Year:

2009

Language:

english

File:

PDF, 113 KB

english, 2009

46

Optimal control of a co-rotating vortex pair: averaging and impulsive control

Dmitri Vainchtein, Igor Mezić

Journal:

Physica D: Nonlinear Phenomena

Year:

2004

Language:

english

File:

PDF, 184 KB

english, 2004

47

Controllability for a class of area-preserving twist maps

Umesh Vaidya, Igor Mezić

Journal:

Physica D: Nonlinear Phenomena

Year:

2004

Language:

english

File:

PDF, 151 KB

english, 2004

48

Coupled oscillator models with no scale separation

Philip Du Toit, Igor Mezić, Jerrold Marsden

Journal:

Physica D: Nonlinear Phenomena

Year:

2009

Language:

english

File:

PDF, 4.98 MB

english, 2009

49

Uniform resonant chaotic mixing in fluid flows

Solomon, T. H., Mezić, Igor

Journal:

Year:

2003

Language:

english

File:

PDF, 484 KB

english, 2003

50

A methodology for meta-model based optimization in building energy models

Bryan Eisenhower, Zheng O’Neill, Satish Narayanan, Vladimir A. Fonoberov, Igor Mezić

Journal:

Energy and Buildings

Year:

2012

Language:

english

File:

PDF, 615 KB

english, 2012

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