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1

Determining embedding dimension for phase-space reconstruction using a geometrical construction

Kennel, Matthew B., Brown, Reggie, Abarbanel, Henry D. I.

Journal:

Physical Review A

Year:

1992

Language:

english

File:

PDF, 446 KB

english, 1992

2

The analysis of observed chaotic data in physical systems

Abarbanel, Henry, Brown, Reggie, Sidorowich, John, Tsimring, Lev

Journal:

Review of Modern Physics

Year:

1993

Language:

english

File:

PDF, 3.08 MB

english, 1993

3

Dynamical principles in neuroscience

Rabinovich, Mikhail I., Varona, Pablo, Selverston, Allen I., Abarbanel, Henry D. I.

Journal:

Review of Modern Physics

Year:

2006

Language:

english

File:

PDF, 4.96 MB

english, 2006

4

Reggeon field theory: Formulation and use

Henry D.I. Abarbanel, John D. Bronzan, Robert L. Sugar, Alan R. White

Journal:

Physics Reports

Year:

1975

Language:

english

File:

PDF, 4.48 MB

english, 1975

5

Dynamical State and Parameter Estimation

Abarbanel, Henry D. I., Creveling, Daniel R., Farsian, Reza, Kostuk, Mark

Journal:

SIAM Journal on Applied Dynamical Systems

Year:

2009

Language:

english

File:

PDF, 2.40 MB

english, 2009

6

O DOR E NCODING AS AN A CTIVE , D YNAMICAL P ROCESS : Experiments, Computation, and Theory

Laurent, Gilles, Stopfer, Mark, Friedrich, Rainer W, Rabinovich, Misha I, Volkovskii, Alexander, Abarbanel, Henry DI

Journal:

Annual Review of Neuroscience

Year:

2001

Language:

english

File:

PDF, 609 KB

english, 2001

7

Low-Energy Theorems, Dispersion Relations, and Superconvergence Sum Rules for Compton Scattering

Abarbanel, Henry D. I., Goldberger, Marvin L.

Journal:

Physical Review (Series I)

Year:

1968

Language:

english

File:

PDF, 2.88 MB

english, 1968

8

Machine Learning of Time Series Using Time-delay Embedding and Precision Annealing

Ty, Alexander J. A., Fang, Zheng, Gonzalez, Rivver A., Rozdeba, Paul. J., Abarbanel, Henry D. I.

Journal:

Neural Computation

Year:

2019

Language:

english

File:

PDF, 1.40 MB

english, 2019

9

Classical Hamiltonian perturbation theory without secular terms or small denominators

Henry D.I. Abarbanel

Journal:

Physica D: Nonlinear Phenomena

Year:

1980

Language:

english

File:

PDF, 885 KB

english, 1980

10

Prediction and system identification in chaotic nonlinear systems: Time series with broadband spectra

Henry D.I. Abarbanel, Reggie Brown, James B. Kadtke

Journal:

Physics Letters A

Year:

1989

Language:

english

File:

PDF, 802 KB

english, 1989

11

Measuring multiple spike train synchrony

Thomas Kreuz, Daniel Chicharro, Ralph G. Andrzejak, Julie S. Haas, Henry D.I. Abarbanel

Journal:

Journal of Neuroscience Methods

Year:

2009

Language:

english

File:

PDF, 2.89 MB

english, 2009

12

Data assimilation with regularized nonlinear instabilities

Henry D. I. Abarbanel, Mark Kostuk, William Whartenby

Journal:

Quarterly Journal of the Royal Meteorological Society

Year:

2010

Language:

english

File:

PDF, 1011 KB

english, 2010

13

State and parameter estimation using Monte Carlo evaluation of path integrals

John C. Quinn, Henry D.I. Abarbanel

Journal:

Quarterly Journal of the Royal Meteorological Society

Year:

2010

Language:

english

File:

PDF, 667 KB

english, 2010

14

Self-organization in the olfactory system: one shot odor recognition in insects

Thomas Nowotny, Ramón Huerta, Henry D. I. Abarbanel, Mikhail I. Rabinovich

Journal:

Biological Cybernetics

Year:

2005

Language:

english

File:

PDF, 497 KB

english, 2005

15

Effective actions for statistical data assimilation

Henry D.I. Abarbanel

Journal:

Physics Letters A

Year:

2009

Language:

english

File:

PDF, 162 KB

english, 2009

16

Neurodynamics: nonlinear dynamics and neurobiology

Henry D.I. Abarbanel, Michael I. Rabinovich

Journal:

Current Opinion in Neurobiology

Year:

2001

Language:

english

File:

PDF, 100 KB

english, 2001

17

Generalized synchronization of chaos in directionally coupled chaotic systems

Rulkov, Nikolai, Sushchik, Mikhail, Tsimring, Lev, Abarbanel, Henry

Journal:

Physical Review E

Year:

1995

Language:

english

File:

PDF, 667 KB

english, 1995

18

Prediction in chaotic nonlinear systems: Methods for time series with broadband Fourier spectra

Abarbanel, Henry D. I., Brown, Reggie, Kadtke, James B.

Journal:

Physical Review A

Year:

1990

Language:

english

File:

PDF, 1.52 MB

english, 1990

19

Lyapunov exponents from observed time series

Bryant, Paul, Brown, Reggie, Abarbanel, Henry D. I.

Journal:

Physical Review Letters

Year:

1990

Language:

english

File:

PDF, 238 KB

english, 1990

20

Local false nearest neighbors and dynamical dimensions from observed chaotic data

Abarbanel, Henry D. I., Kennel, Matthew B.

Journal:

Physical Review E

Year:

1993

Language:

english

File:

PDF, 624 KB

english, 1993

21

Relativistic Eikonal Expansion

Abarbanel, Henry D. I., Itzykson, Claude

Journal:

Physical Review Letters

Year:

1969

Language:

english

File:

PDF, 211 KB

english, 1969

22

Nonlinear analysis of high-Reynolds-number flows over a buoyant axisymmetric body

Abarbanel, Henry D. I., Katz, Richard A., Galib, Thomas, Cembrola, Joan, Frison, Theodore W.

Journal:

Physical Review E

Year:

1994

File:

PDF, 2.53 MB

1994

23

Richardson Number Criterion for the Nonlinear Stability of Three-Dimensional Stratified Flow

Abarbanel, Henry D. I., Holm, Darryl D., Marsden, Jerrold E., Ratiu, Tudor

Journal:

Physical Review Letters

Year:

1984

Language:

english

File:

PDF, 554 KB

english, 1984

24

Implications of Regge Behavior for Processes Involving Photons

Abarbanel, Henry D. I., Nussinov, S.

Journal:

Physical Review (Series I)

Year:

1967

Language:

english

File:

PDF, 1.01 MB

english, 1967

25

-Particle Cross Sections in Diffraction-Production Models

Abarbanel, Henry D. I., Kane, G. L.

Journal:

Physical Review Letters

Year:

1973

Language:

english

File:

PDF, 814 KB

english, 1973

26

Nonlinear analysis of environmental distortions of continuous wave signals in the ocean

Frison, Theodore W., Abarbanel, Henry D. I., Cembrola, Joan, Katz, Richard

Journal:

The Journal of the Acoustical Society of America

Year:

1996

Language:

english

File:

PDF, 191 KB

english, 1996

27

Predicting physical variables in time-delay embedding

Abarbanel, Henry D. I., Carroll, T. A., Pecora, L. M., Sidorowich, J. J., Tsimring, L. S.

Journal:

Physical Review E

Year:

1994

File:

PDF, 2.09 MB

1994

28

Construction of Local Quantum Fields Describing Many Masses and Spins

Abarbanel, Henry D. I., Frishman, Y.

Journal:

Physical Review (Series I)

Year:

1968

Language:

english

File:

PDF, 1.78 MB

english, 1968

29

Hamiltonian dynamics of coupled potential vorticity and internal wave motion: I. linear modes

Rouhi, Ali, Abarbanel, Henry D. I.

Journal:

Geophysical & Astrophysical Fluid Dynamics

Year:

1991

Language:

english

File:

PDF, 886 KB

english, 1991

30

[Institute for Nonlinear Science] Analysis of Observed Chaotic Data || Choosing the Dimension of Reconstructed Phase Space

Abarbanel, Henry D. I.

Year:

1996

Language:

english

File:

PDF, 3.00 MB

english, 1996

31

Estimating Entropy Rates with Bayesian Confidence Intervals

Kennel, Matthew B., Shlens, Jonathon, Abarbanel, Henry D. I., Chichilnisky, E. J.

Journal:

Neural Computation

Year:

2005

Language:

english

File:

PDF, 826 KB

english, 2005

32

Least Square Analysis and Significance Tests For A Set of Functions of Discrete Abscissae

Moravcsik, Michael J., Abarbanel, Henry D. I.

Journal:

Journal of Mathematics and Physics

Year:

1965

Language:

english

File:

PDF, 596 KB

english, 1965

33

Machine Learning; Deepest Learning as Statistical Data Assimilation Problems

Abarbanel, Henry D. I., Rozdeba, Paul J., Shirman, Sasha

Journal:

Neural Computation

Year:

2018

Language:

english

File:

PDF, 1.17 MB

english, 2018

34

The dispersion theory of the lamb shift

Henry D.I Abarbanel

Journal:

Annals of Physics

Year:

1966

Language:

english

File:

PDF, 1.28 MB

english, 1966

35

A graphical method for multi-soft-pion processes

Henry D.I Abarbanel, Shmuel Nussinov

Journal:

Annals of Physics

Year:

1967

Language:

english

File:

PDF, 474 KB

english, 1967

36

A test of the nature of nonleptonic weak interactions in high-energy neutrino collisions

Henry D.I Abarbanel

Journal:

Annals of Physics

Year:

1968

Language:

english

File:

PDF, 646 KB

english, 1968

37

A strictly localizable field theory and the construction of resonant-symmetric scattering amplitudes

Henry D.I. Abarbanel

Journal:

Annals of Physics

Year:

1970

Language:

english

File:

PDF, 910 KB

english, 1970

38

Laplace transform diagonalization of forward scattering absorptive part equations

Henry D.I. Abarbanel, L.M. Saunders

Journal:

Annals of Physics

Year:

1972

Language:

english

File:

PDF, 1024 KB

english, 1972

39

Non-linear diffusion in Hamiltonian systems exhibiting chaotic motion

Henry D.I. Abarbanel

Journal:

Physica D: Nonlinear Phenomena

Year:

1981

Language:

english

File:

PDF, 808 KB

english, 1981

40

Strong coupling expansions for nonintegrable hamiltonian systems

Henry D.I. Abarbanel, John David Crawford

Journal:

Physica D: Nonlinear Phenomena

Year:

1982

Language:

english

File:

PDF, 1.03 MB

english, 1982

41

Correlations of periodic, area-preserving maps

James D. Meiss, John R. Cary, Celso Grebogi, John D. Crawford, Allan N. Kaufman, Henry D.I. Abarbanel

Journal:

Physica D: Nonlinear Phenomena

Year:

1983

Language:

english

File:

PDF, 513 KB

english, 1983

42

Diffusion in very chaotic hamiltonian systems

Henry D.I. Abarbanel, John David Crawford

Journal:

Physics Letters A

Year:

1981

Language:

english

File:

PDF, 386 KB

english, 1981

43

Finite resolution approximation to the asymptotic distribution for dynamical systems

Henry D.J. Abarbanel, Peter E. Latham

Journal:

Physics Letters A

Year:

1982

Language:

english

File:

PDF, 251 KB

english, 1982

44

Hamiltonian structures for smooth vector fields

Henry D.I. Abarbanel, A. Rouhi

Journal:

Physics Letters A

Year:

1987

Language:

english

File:

PDF, 550 KB

english, 1987

45

Measuring spike train synchrony

Thomas Kreuz, Julie S. Haas, Alice Morelli, Henry D.I. Abarbanel, Antonio Politi

Journal:

Journal of Neuroscience Methods

Year:

2007

Language:

english

File:

PDF, 1.36 MB

english, 2007

46

Parameter estimation using balanced synchronization

Daniel R. Creveling, James M. Jeanne, Henry D.I. Abarbanel

Journal:

Physics Letters A

Year:

2008

Language:

english

File:

PDF, 586 KB

english, 2008

47

Optimal control of nonlinear systems to given orbits

Henry D.I. Abarbanel, Lev Korzinov, Alistair I. Mees, Igor M. Starobinets

Journal:

Systems & Control Letters

Year:

1997

Language:

english

File:

PDF, 1009 KB

english, 1997

48

Relating a calcium indicator signal to the unperturbed calcium concentration time-course

Alexander Borst, Henry DI Abarbanel

Journal:

Theoretical Biology and Medical Modelling

Year:

2007

Language:

english

File:

PDF, 1.13 MB

english, 2007

49

Book review

Henry D. I. Abarbanel

Journal:

Foundations of Physics

Year:

1994

Language:

english

File:

PDF, 176 KB

english, 1994

50

Book reviews

Frank Hoppensteadt, Harold M. Hastings, Michael Mesterton-Gibbons, K. A. Jane White, Henry D. I. Abarbanel, Michael G. Neubert, Mark Pernarowski

Journal:

Bulletin of Mathematical Biology

Year:

1997

Language:

english

File:

PDF, 1.28 MB

english, 1997