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1

Pattern formation in a two-dimensional reaction-diffusion system with a transversal chemical gradient

Anatol M. Zhabotinsky, Stefan C. Müller, Benno Hess

Journal:

Physica D: Nonlinear Phenomena

Year:

1991

Language:

english

File:

PDF, 511 KB

english, 1991

2

A history of chemical oscillations and waves

Zhabotinsky, Anatol M.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

1991

Language:

english

File:

PDF, 1.05 MB

english, 1991

3

A Canard Mechanism for Localization in Systems of Globally Coupled Oscillators

Zhabotinsky, Anatol M., Rotstein, Horacio G., Epstein, Irving R., Kopell, Nancy

Journal:

SIAM Journal on Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 246 KB

english, 2003

4

Pattern formation arising from wave instability in a simple reaction-diffusion system

Zhabotinsky, Anatol M., Dolnik, Milos, Epstein, Irving R.

Journal:

The Journal of Chemical Physics

Year:

1995

Language:

english

File:

PDF, 1.69 MB

english, 1995

5

A Canard Mechanism for Localization in Systems of Globally Coupled Oscillators

Horacio G. Rotstein, Nancy Kopell, Anatol M. Zhabotinsky and Irving R. Epstein

Journal:

SIAM Journal on Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 570 KB

english, 2003

6

Pattern Formation in the Belousov−Zhabotinsky Reaction with Photochemical Global Feedback

Vanag, Vladimir K., Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Journal of Physical Chemistry A

Year:

2000

Language:

english

File:

PDF, 403 KB

english, 2000

7

Spatio-temporal patterns in a reaction–diffusion system with wave instability

Milos Dolnik, Anatol M Zhabotinsky, Arkady B Rovinsky, Irving R Epstein

Journal:

Chemical Engineering Science

Year:

2000

Language:

english

File:

PDF, 826 KB

english, 2000

8

Interaction of chemical waves in a thin layer of microheterogeneous gel with a transversal chemical gradient

Anatol M. Zhabotinsky, Stefan C. Müller, Benno Hess

Journal:

Chemical Physics Letters

Year:

1990

Language:

english

File:

PDF, 2.32 MB

english, 1990

9

On the nature of patterns arising during polymerization of acrylamide in the presence of the methylene blue-sulfide-oxygen oscillating reaction

Krisztina Kurin-Csörgei, Miklós Orbán, Anatol M. Zhabotinsky, Irving R. Epstein

Journal:

Chemical Physics Letters

Year:

1998

Language:

english

File:

PDF, 972 KB

english, 1998

10

Oscillatory cluster patterns in a homogeneous chemical system with global feedback

Vanag, Vladimir K., Yang, Lingfa, Dolnik, Milos, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Year:

2000

Language:

english

File:

PDF, 258 KB

english, 2000

11

A Model of Synaptic Memory: A CaMKII/PP1 Switch that Potentiates Transmission by Organizing an AMPA Receptor Anchoring Assembly

John E Lisman, Anatol M Zhabotinsky

Journal:

Year:

2001

Language:

english

File:

PDF, 578 KB

english, 2001

12

Bistability in the Ca2+/Calmodulin-Dependent Protein Kinase-Phosphatase System

Zhabotinsky, Anatol M.

Journal:

Biophysical Journal

Year:

2000

Language:

english

File:

PDF, 258 KB

english, 2000

13

Pattern formation arising from interactions between Turing and wave instabilities

Yang, Lingfa, Dolnik, Milos, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

The Journal of Chemical Physics

Year:

2002

Language:

english

File:

PDF, 1.19 MB

english, 2002

14

Oscillations and waves in metal-ion-catalyzed bromate oscillating reactions in highly oxidized states

Zhabotinsky, Anatol M., Buchholtz, Frank, Kiyatkin, Anatol B., Epstein, Irving R.

Journal:

Journal of Physical Chemistry

Year:

1993

Language:

english

File:

PDF, 730 KB

english, 1993

15

Bromate−1,4-Cyclohexanedione−Ferroin Gas-Free Oscillating Reaction. 1. Basic Features and Crossing Wave Patterns in a Reaction−Diffusion System without Gel

Kurin-Csörgei, Krisztina, Zhabotinsky, Anatol M., Orbán, Miklós, Epstein, Irving R.

Journal:

Journal of Physical Chemistry

Year:

1996

Language:

english

File:

PDF, 269 KB

english, 1996

16

Stratification in a Thin-Layered Excitable Reaction-Diffusion System with Transverse Concentration Gradients

Zhabotinsky, Anatol M., Gyorgyi, Laszlo, Dolnik, Milos, Epstein, Irving R.

Journal:

Journal of Physical Chemistry

Year:

1994

Language:

english

File:

PDF, 5.49 MB

english, 1994

17

Modulated Standing Waves in a Short Reaction−Diffusion System

Dolnik, Milos, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Journal of Physical Chemistry

Year:

1996

Language:

english

File:

PDF, 416 KB

english, 1996

18

Superlattice Turing Structures in a Photosensitive Reaction-Diffusion System

Berenstein, Igal, Yang, Lingfa, Dolnik, Milos, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Review Letters

Year:

2003

Language:

english

File:

PDF, 367 KB

english, 2003

19

Spatial Periodic Forcing of Turing Structures

Dolnik, Milos, Berenstein, Igal, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Review Letters

Year:

2001

Language:

english

File:

PDF, 359 KB

english, 2001

20

Control of the Chlorine Dioxide−Iodine−Malonic Acid Oscillating Reaction by Illumination

Muñuzuri, Alberto P., Dolnik, Milos, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Journal of the American Chemical Society

Year:

1999

Language:

english

File:

PDF, 85 KB

english, 1999

21

Dynamics of kinks in one- and two-dimensional hyperbolic models with quasidiscrete nonlinearities

Rotstein, Horacio G., Mitkov, Igor, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Review E

Year:

2001

Language:

english

File:

PDF, 249 KB

english, 2001

22

High-Frequency Oscillations in the Belousov−Zhabotinsky Reaction

Bánsági, Tamás, Leda, Marcin, Toiya, Masahiro, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Journal of Physical Chemistry A

Year:

2009

Language:

english

File:

PDF, 454 KB

english, 2009

23

Oscillatory clusters in a model of the photosensitive Belousov-Zhabotinsky reaction system with global feedback

Yang, Lingfa, Dolnik, Milos, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Review E

Year:

2000

Language:

english

File:

PDF, 611 KB

english, 2000

24

Spatial Resonances and Superposition Patterns in a Reaction-Diffusion Model with Interacting Turing Modes

Yang, Lingfa, Dolnik, Milos, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Review Letters

Year:

2002

Language:

english

File:

PDF, 779 KB

english, 2002

25

Spatial Periodic Perturbation of Turing Pattern Development Using a Striped Mask

Berenstein, Igal, Dolnik, Milos, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Journal of Physical Chemistry A

Year:

2003

Language:

english

File:

PDF, 554 KB

english, 2003

26

Dynamic Mechanism of Photochemical Induction of Turing Superlattices in the Chlorine Dioxide−Iodine−Malonic Acid Reaction−Diffusion System

Berenstein, Igal, Yang, Lingfa, Dolnik, Milos, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Journal of Physical Chemistry A

Year:

2005

Language:

english

File:

PDF, 1.09 MB

english, 2005

27

New Indicators for Visualizing Pattern Formation in Uncatalyzed Bromate Oscillatory Systems

Orbán, Miklós, Kurin-Csörgei, Krisztina, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Journal of the American Chemical Society

Year:

1998

Language:

english

File:

PDF, 68 KB

english, 1998

28

Kinetics of Photoresponse of the Chlorine Dioxide-Iodine-Malonic Acid Reaction

Horváth, Attila K., Dolnik, Milos, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Journal of Physical Chemistry A

Year:

2000

Language:

english

File:

PDF, 65 KB

english, 2000

29

Standing Waves in a Two-Dimensional Reaction−Diffusion Model with the Short-Wave Instability

Dolnik, Milos, Rovinsky, Arkady B., Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Journal of Physical Chemistry A

Year:

1999

Language:

english

File:

PDF, 323 KB

english, 1999

30

Pattern Formation during Polymerization of Acrylamide in the Presence of Sulfide Ions

Orbán, Miklós, Kurin-Csörgei, Krisztina, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Journal of Physical Chemistry B

Year:

1999

Language:

english

File:

PDF, 55 KB

english, 1999

31

Role of Dibromomalonic Acid in the Photosensitivity of the Ru(bpy) 32+ -Catalyzed Belousov−Zhabotinsky Reaction

Vanag, Vladimir K., Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Journal of Physical Chemistry A

Year:

2000

Language:

english

File:

PDF, 132 KB

english, 2000

32

Photosensitive, Bubble-free, Bromate−1,4-Cyclohexanedione Oscillating Reactions. Illumination Control of Pattern Formation

Kurin-Csörgei, Krisztina, Zhabotinsky, Anatol M., Orbán, Miklós, Epstein, Irving R.

Journal:

Journal of Physical Chemistry A

Year:

1997

Language:

english

File:

PDF, 76 KB

english, 1997

33

Jumping solitary waves in an autonomous reaction?diffusion system with subcritical wave instability

Yang, Lingfa, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Chemistry Chemical Physics

Year:

2006

Language:

english

File:

PDF, 800 KB

english, 2006

34

Modulated and alternating waves in a reaction-diffusion model with wave instability

Dolnik, Milos, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Journal of the Chemical Society Faraday Transactions

Year:

1996

Language:

english

File:

PDF, 1.63 MB

english, 1996

35

A new chemical system for studying pattern formation: Bromate–hypophosphite–acetone–dual catalyst

Orbán, Miklós, Kurin-Csörgei, Krisztina, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Faraday Discussions

Year:

2002

Language:

english

File:

PDF, 178 KB

english, 2002

36

Oscillatory Clusters in the Periodically Illuminated, Spatially Extended Belousov-Zhabotinsky Reaction

Vanag, Vladimir K., Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Review Letters

Year:

2001

Language:

english

File:

PDF, 220 KB

english, 2001

37

Refraction and reflection of chemical waves

Zhabotinsky, Anatol M., Eager, Matthew D., Epstein, Irving R.

Journal:

Physical Review Letters

Year:

1993

Language:

english

File:

PDF, 752 KB

english, 1993

38

Turing pattern formation induced by spatially correlated noise

Sanz-Anchelergues, Adolfo, Zhabotinsky, Anatol M., Epstein, Irving R., Muñuzuri, Alberto P.

Journal:

Physical Review E

Year:

2001

Language:

english

File:

PDF, 296 KB

english, 2001

39

Stable Squares and Other Oscillatory Turing Patterns in a Reaction-Diffusion Model

Yang, Lingfa, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Review Letters

Year:

2004

Language:

english

File:

PDF, 401 KB

english, 2004

40

Propagation and refraction of chemical waves generated by local periodic forcing in a reaction-diffusion model

Zhang, Renwu, Yang, Lingfa, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Review E

Year:

2007

Language:

english

File:

PDF, 446 KB

english, 2007

41

Target patterns arising from the short-wave instability in near-critical regimes of reaction-diffusion systems

Rovinsky, Arkady B., Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Review E

Year:

1997

Language:

english

File:

PDF, 255 KB

english, 1997

42

Localized structures in a nonlinear wave equation stabilized by negative global feedback: One-dimensional and quasi-two-dimensional kinks

Rotstein, Horacio G., Zhabotinsky, Anatol A., Epstein, Irving R.

Journal:

Physical Review E

Year:

2006

Language:

english

File:

PDF, 149 KB

english, 2006

43

Stability of planar reactive fronts in external fields

Rovinsky, Arkady B., Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Review E

Year:

1998

Language:

english

File:

PDF, 241 KB

english, 1998

44

Dynamics of one- and two-dimensional kinks in bistable reaction–diffusion equations with quasidiscrete sources of reaction

Rotstein, Horacio G., Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2001

Language:

english

File:

PDF, 543 KB

english, 2001

45

Turing patterns beyond hexagons and stripes

Yang, Lingfa, Dolnik, Milos, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Chaos An Interdisciplinary Journal of Nonlinear Science

Year:

2006

Language:

english

File:

PDF, 1.69 MB

english, 2006

46

Interference of Crossing Trigger Waves in Multilayer Reaction-Diffusion Systems

Bugrim, Andrej E., Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Review Letters

Year:

1995

Language:

english

File:

PDF, 597 KB

english, 1995

47

Canard phenomenon and localization of oscillations in the Belousov–Zhabotinsky reaction with global feedback

Rotstein, Horacio G., Kopell, Nancy, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

The Journal of Chemical Physics

Year:

2003

Language:

english

File:

PDF, 351 KB

english, 2003

48

Breathing spiral waves in the chlorine dioxide–iodine–malonic acid reaction-diffusion system

Berenstein, Igal, Muñuzuri, Alberto P., Yang, Lingfa, Dolnik, Milos, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Review E

Year:

2008

Language:

english

File:

PDF, 379 KB

english, 2008

49

Turing pattern formation in a two-layer system: Superposition and superlattice patterns

Berenstein, Igal, Dolnik, Milos, Yang, Lingfa, Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Review E

Year:

2004

Language:

english

File:

PDF, 898 KB

english, 2004

50

Control of Turing Structures by Periodic Illumination

Horváth, Attila K., Dolnik, Milos, Muñuzuri, Alberto P., Zhabotinsky, Anatol M., Epstein, Irving R.

Journal:

Physical Review Letters

Year:

1999

Language:

english

File:

PDF, 762 KB

english, 1999

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