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1

On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions

Bollt, Erik M., Li, Qianxiao, Dietrich, Felix, Kevrekidis, Ioannis

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2018

Language:

english

File:

PDF, 948 KB

english, 2018

2

Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator

Li, Qianxiao, Dietrich, Felix, Bollt, Erik M., Kevrekidis, Ioannis G.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2017

Language:

english

File:

PDF, 1.01 MB

english, 2017

3

Sufficient Conditions for Fast Switching Synchronization in Time-Varying Network Topologies

Stilwell, Daniel J., Bollt, Erik M., Roberson, D. Gray

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2006

Language:

english

File:

PDF, 510 KB

english, 2006

4

Phylogeny and ancient DNA of Sus provides insights into neolithic expansion in Island Southeast Asia and Oceania

Larson, G., Cucchi, T., Fujita, M., Matisoo-Smith, E., Robins, J., Anderson, A., Rolett, B., Spriggs, M., Dolman, G., Kim, T.-H., Thuy, N. T. D., Randi, E., Doherty, M., Due, R. A., Bollt, R., Djubian

Journal:

Proceedings of the National Academy of Sciences

Year:

2007

Language:

english

File:

PDF, 1.25 MB

english, 2007

5

Statistics of cycles: how loopy is your network?

Rozenfeld, Hernán D, Kirk, Joseph E, Bollt, Erik M, ben-Avraham, Daniel

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2005

Language:

english

File:

PDF, 160 KB

english, 2005

6

Inferring causation from time series in Earth system sciences

Runge, Jakob, Bathiany, Sebastian, Bollt, Erik, Camps-Valls, Gustau, Coumou, Dim, Deyle, Ethan, Glymour, Clark, Kretschmer, Marlene, Mahecha, Miguel D., Muñoz-Marí, Jordi, van Nes, Egbert H., Peters,

Journal:

Nature Communications

Year:

2019

Language:

english

File:

PDF, 2.20 MB

english, 2019

7

Basis Markov Partitions and Transition Matrices for Stochastic Systems

Bollt, Erik, Góra, Paweł, Ostruszka, Andrzej, Życzkowski, Karol

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2008

Language:

english

File:

PDF, 487 KB

english, 2008

8

Prehistoric fishing strategies on the makatea island of Rurutu

WEISLER, MARSHALL I., BOLLT, ROBERT, FINDLATER, AMY

Journal:

Archaeology in Oceania

Year:

2010

Language:

english

File:

PDF, 417 KB

english, 2010

9

Prehistoric Birds from Rurutu, Austral Islands, East Polynesia 1

Steadman, David W., Bollt, Robert

Journal:

Pacific Science

Year:

2010

Language:

english

File:

PDF, 960 KB

english, 2010

10

[IEEE 1997 1st International Conference, Control of Oscillations and Chaos (Cat. No.97TH8329) - St. Petersburg, Russia (27-29 Aug. 1997)] 1997 1st International Conference, Control of Oscillations and Chaos Proceedings (Cat. No.97TH8329) - Learning the grammar of a chaotic dynamical system in a format suitable for controlling symbol dynamics and communications

Bollt, E.M., Dolnik, M.

Year:

1997

Language:

english

File:

PDF, 540 KB

english, 1997

11

Control entropy identifies differential changes in complexity of walking and running gait patterns with increasing speed in highly trained runners

McGregor, Stephen J., Busa, Michael A., Skufca, Joseph, Yaggie, James A., Bollt, Erik M.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2009

Language:

english

File:

PDF, 2.03 MB

english, 2009

12

Validity of Threshold-Crossing Analysis of Symbolic Dynamics from Chaotic Time Series

Bollt, Erik M., Stanford, Theodore, Lai, Ying-Cheng, Życzkowski, Karol

Journal:

Physical Review Letters

Year:

2000

Language:

english

File:

PDF, 196 KB

english, 2000

13

STABILITY OF ORDER: AN EXAMPLE OF HORSESHOES "NEAR" A LINEAR MAP

Journal:

International Journal of Bifurcation and Chaos

Year:

1999

Language:

english

File:

PDF, 865 KB

english, 1999

14

Master stability functions for coupled nearly identical dynamical systems

Sun, J., Bollt, E. M., Nishikawa, T.

Journal:

EPL (Europhysics Letters)

Year:

2009

Language:

english

File:

PDF, 513 KB

english, 2009

15

Characterization of Mixing in a Simple Paddle Mixer Using Experimentally Derived Velocity Fields

Bohl, Douglas, Mehta, Akshey, Santitissadeekorn, Naratip, Bollt, Erik

Journal:

Journal of Fluids Engineering

Year:

2011

Language:

english

File:

PDF, 2.22 MB

english, 2011

16

[IEEE Military Communications Conference (MILCOM 2002) - Anaheim, CA, USA (7-10 Oct. 2002)] MILCOM 2002. Proceedings - A covert communication system using an optimized wideband chaotic carrier

Reddell, N.F., Welch, T.B., Bollt, E.M.

Year:

2002

Language:

english

File:

PDF, 391 KB

english, 2002

17

Stretching and folding in finite time

Ma, Tian, Ouellette, Nicholas T., Bollt, Erik M.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2016

Language:

english

File:

PDF, 2.09 MB

english, 2016

18

Image Edge Respecting Denoising with Edge Denoising by a Designer Nonisotropic Structure Tensor Method

Santitissadeekorn, N., Bollt, E.M.

Journal:

Computational Methods in Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 1.37 MB

english, 2009

19

Nonlinear characterization of a Rossler system under periodic closed-loop control via time-frequency and bispectral analysis

Alstrom, Robert Bruce, Moreau, Stéphane, Marzocca, Pier, Bollt, Erik

Journal:

Mechanical Systems and Signal Processing

Year:

2018

Language:

english

File:

PDF, 7.64 MB

english, 2018

20

Reliability Of Triaxial Accelerometry And Mechanomyography In The Assessment Of Balance And The Effects Of Fatigue

Armstrong, W. Jeffrey, McGregor, Stephen J., Bollt, Erik M., Bailey, Jerry, Johnson, Sean M., Goin, Aleta M., Kelly, Samuel R.

Journal:

Medicine & Science in Sports & Exercise

Year:

2010

Language:

english

File:

PDF, 61 KB

english, 2010

21

High Resolution Accelerometry Can Identify Changes in Running Dynamics Across an Inter-collegiate Cross Country Season

Busa, Michael A., Muth, Timothy, Herman, Christopher, Hornyak, Joseph, Bollt, Erik, McGregor, Stephen

Journal:

Medicine & Science in Sports & Exercise

Year:

2010

Language:

english

File:

PDF, 76 KB

english, 2010

22

High-resolution Triaxial Accelerometry Is Strongly Correlated With VO2 In Inter-collegiate Runners During Level Treadmill Locomotion

Yaggie, James A., Busa, Micahel A., Bollt, Erik M., McGregor, Stephen J.

Journal:

Medicine & Science in Sports & Exercise

Year:

2010

Language:

english

File:

PDF, 65 KB

english, 2010

23

Control Entropy Of Accelerometry During Discontinuous Treadmill Tests In Intercollegiate Runners Across a Competitive Season

McGregor, Stephen J., Busa, Michael A., Skufca, Joseph, Muth, Timothy, Bollt, Erik M.

Journal:

Medicine & Science in Sports & Exercise

Year:

2010

Language:

english

File:

PDF, 60 KB

english, 2010

24

Geometric k-nearest neighbor estimation of entropy and mutual information

Lord, Warren M., Sun, Jie, Bollt, Erik M.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2018

Language:

english

File:

PDF, 1.42 MB

english, 2018

25

Anatomy of leadership in collective behaviour

Garland, Joshua, Berdahl, Andrew M., Sun, Jie, Bollt, Erik M.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2018

Language:

english

File:

PDF, 1.15 MB

english, 2018

26

Open or closed? Information flow decided by transfer operators and forecastability quality metric

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2018

Language:

english

File:

PDF, 1.03 MB

english, 2018

27

An Emergent Space for Distributed Data With Hidden Internal Order Through Manifold Learning

Kemeth, Felix P., Haugland, Sindre W., Dietrich, Felix, Bertalan, Tom, Hohlein, Kevin, Li, Qianxiao, Bollt, Erik M., Talmon, Ronen, Krischer, Katharina, Kevrekidis, Ioannis G.

Journal:

Year:

2018

Language:

english

File:

PDF, 14.78 MB

english, 2018

28

Intralayer Synchronization in Evolving Multiplex Hypernetworks: Analytical Approach

Rakshit, Sarbendu, Bera, Bidesh K., Bollt, Erik M., Ghosh, Dibakar

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2020

File:

PDF, 1.04 MB

2020

29

On Geometry of Information Flow for Causal Inference

Surasinghe, Sudam, Bollt, Erik M.

Journal:

Year:

2020

File:

PDF, 3.46 MB

2020

30

Excavations in Peva Valley, Rurutu, Austral Islands (East Polynesia)

Journal:

Asian Perspectives

Year:

2008

File:

PDF, 1.10 MB

2008

31

Targeting chaotic orbits to the Moon through recurrence

Erik M Bollt, James D Meiss

Journal:

Physics Letters A

Year:

1995

Language:

english

File:

PDF, 648 KB

english, 1995

32

Modeling and nonlinear parameter estimation with Kronecker product representation for coupled oscillators and spatiotemporal systems

Chen Yao, Erik M. Bollt

Journal:

Physica D: Nonlinear Phenomena

Year:

2007

Language:

english

File:

PDF, 1.72 MB

english, 2007

33

What symbolic dynamics do we get with a misplaced partition?: On the validity of threshold crossings analysis of chaotic time-series

Erik M. Bollt, Theodore Stanford, Ying-Cheng Lai, Karol Życzkowski

Journal:

Physica D: Nonlinear Phenomena

Year:

2001

Language:

english

File:

PDF, 511 KB

english, 2001

34

A manifold independent approach to understanding transport in stochastic dynamical systems

Erik M. Bollt, Lora Billings, Ira B. Schwartz

Journal:

Physica D: Nonlinear Phenomena

Year:

2002

Language:

english

File:

PDF, 1.11 MB

english, 2002

35

Feedback control with finite accuracy: more knowledge and better control for free

Joseph D. Skufca, Erik M. Bollt

Journal:

Physica D: Nonlinear Phenomena

Year:

2003

Language:

english

File:

PDF, 359 KB

english, 2003

36

On the entropy devil’s staircase in a family of gap-tent maps

Karol Życzkowski, Erik M. Bollt

Journal:

Physica D: Nonlinear Phenomena

Year:

1999

Language:

english

File:

PDF, 196 KB

english, 1999

37

Towards complete detection of unstable periodic orbits in chaotic systems

Ruslan L. Davidchack, Ying-Cheng Lai, Aaron Klebanoff, Erik M. Bollt

Journal:

Physics Letters A

Year:

2001

Language:

english

File:

PDF, 98 KB

english, 2001

38

Optimal targeting of chaos

Erik M. Bollt, Eric J. kostelich

Journal:

Physics Letters A

Year:

1998

Language:

english

File:

PDF, 742 KB

english, 1998

39

Communicating with chaos using two-dimensional symbolic dynamics

Ying-Cheng Lai, Erik Bollt, Celso Grebogi

Journal:

Physics Letters A

Year:

1999

Language:

english

File:

PDF, 162 KB

english, 1999

40

Hybrid chaos synchronization and its application in information processing

Qingxian Xie, Guanrong Chen, E.M. Bollt

Journal:

Mathematical and Computer Modelling

Year:

2002

Language:

english

File:

PDF, 1.24 MB

english, 2002

41

Convergence analysis of Davidchack and Lai's algorithm for finding periodic orbits

Aaron Klebanoff, Erik Bollt

Journal:

Chaos, Solitons & Fractals

Year:

2001

Language:

english

File:

PDF, 322 KB

english, 2001

42

Low-dimensional chaos in high-dimensional phase space: how does it occur?

Ying-Cheng Lai, Erik M. Bollt, Zonghua Liu

Journal:

Chaos, Solitons & Fractals

Year:

2003

Language:

english

File:

PDF, 284 KB

english, 2003

43

Probability density functions of some skew tent maps

L. Billings, E.M. Bollt

Journal:

Chaos, Solitons & Fractals

Year:

2001

Language:

english

File:

PDF, 371 KB

english, 2001

44

Lower extremity fatigue increases complexity of postural control during a single-legged stance

Stephen J McGregor, W Jeffrey Armstrong, James A Yaggie, Erik M Bollt, Rana Parshad, Jerry J Bailey, Sean M Johnson, Aleta M Goin, Samuel R Kelly

Journal:

Journal of NeuroEngineering and Rehabilitation

Year:

2011

Language:

english

File:

PDF, 561 KB

english, 2011

45

A Stream Function Approach to Optical Flow with Applications to Fluid Transport Dynamics

Aaron Luttman, Erik Bollt, Ranil Basnayake, Sean Kramer

Journal:

Year:

2011

Language:

english

File:

PDF, 143 KB

english, 2011

46

A Dual-Synchrony Chaotic Communication Scheme

Noah F. Reddell, Erik M. Bollt, Thad B. Welch

Journal:

Circuits, Systems, and Signal Processing

Year:

2005

Language:

english

File:

PDF, 7.21 MB

english, 2005

47

Graduated adaptive image denoising: local compromise between total variation and isotropic diffusion

Erik M. Bollt, Rick Chartrand, Selim Esedoḡlu, Pete Schultz, Kevin R. Vixie

Journal:

Advances in Computational Mathematics

Year:

2009

Language:

english

File:

PDF, 837 KB

english, 2009

48

One-Dimensional Continuous-Time Quantum Walks

D. ben-Avraham, E.M. Bollt, C. Tamon

Journal:

Quantum Information Processing

Year:

2004

Language:

english

File:

PDF, 310 KB

english, 2004

49

Controlling chaotic transport through recurrence

Erik M. Bollt, James D. Meiss

Journal:

Physica D: Nonlinear Phenomena

Year:

1995

Language:

english

File:

PDF, 1.16 MB

english, 1995

50

Random talk: Random walk and synchronizability in a moving neighborhood network

Maurizio Porfiri, Daniel J. Stilwell, Erik M. Bollt, Joseph D. Skufca

Journal:

Physica D: Nonlinear Phenomena

Year:

2006

Language:

english

File:

PDF, 800 KB

english, 2006

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