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Journal Articles

Strong symmetry breaking rhythms created by folded nodes in a pair of symmetrically coupled, identical Koper oscillators

Irving R. Epstein, Naziru M. Awal, Tasso J. Kaper, Theodore Vo

Chaos 34, 053142 (2024)

https://doi.org/10.1063/5.0202872

Published: May 2024

View article titled, Strong symmetry breaking rhythms created by folded nodes in a pair of symmetrically coupled, identical Koper oscillators

Journal Articles

Symmetry-breaking rhythms in coupled, identical fast–slow oscillators

Naziru M. Awal, Irving R. Epstein, Tasso J. Kaper, Theodore Vo

Chaos 33, 011102 (2023)

https://doi.org/10.1063/5.0131305

Published: January 2023

View article titled, Symmetry-breaking rhythms in coupled, identical fast–slow oscillators

Journal Articles

Effect of obstructions on growing Turing patterns

Milos Dolnik, Christopher Konow, Noah H. Somberg, Irving R. Epstein

Chaos 32, 073127 (2022)

https://doi.org/10.1063/5.0099753

Published: July 2022

View article titled, Effect of obstructions on growing Turing patterns

Includes: Supplementary data

Journal Articles

Phase-frequency model of strongly pulse-coupled Belousov-Zhabotinsky oscillators

Viktor Horváth, Daniel Jackson Kutner, Manhao Danny Zeng, Irving R. Epstein

Chaos 29, 023128 (2019)

https://doi.org/10.1063/1.5082161

Published: February 2019

View article titled, Phase-frequency model of strongly pulse-coupled Belousov-Zhabotinsky oscillators

Journal Articles

The smallest chimera: Periodicity and chaos in a pair of coupled chemical oscillators

Naziru M. Awal, Domenico Bullara, Irving R. Epstein

Chaos 29, 013131 (2019)

https://doi.org/10.1063/1.5060959

Published: January 2019

View article titled, The smallest chimera: Periodicity and chaos in a pair of coupled chemical oscillators

Journal Articles

Pulse-coupled Belousov-Zhabotinsky oscillators with frequency modulation

Viktor Horvath, Irving R. Epstein

Chaos 28, 045108 (2018)

https://doi.org/10.1063/1.5021585

Published: April 2018

View article titled, Pulse-coupled Belousov-Zhabotinsky oscillators with frequency modulation

Includes: Supplementary data

Journal Articles

Experimental, numerical, and mechanistic analysis of the nonmonotonic relationship between oscillatory frequency and photointensity for the photosensitive Belousov–Zhabotinsky oscillator

Lin Ren, Bowen Fan, Qingyu Gao, Yuemin Zhao, Hainan Luo, Yahui Xia, Xingjie Lu, Irving R. Epstein

Chaos 25, 064607 (2015)

https://doi.org/10.1063/1.4921693

Published: May 2015

View article titled, Experimental, numerical, and mechanistic analysis of the nonmonotonic relationship between oscillatory frequency and photointensity for the photosensitive Belousov–Zhabotinsky oscillator

Journal Articles

From chemical systems to systems chemistry: Patterns in space and time

Kenneth Showalter, Irving R. Epstein

Chaos 25, 097613 (2015)

https://doi.org/10.1063/1.4918601

Published: April 2015

View article titled, From chemical systems to systems chemistry: Patterns in space and time

Journal Articles

Analysis and prediction of aperiodic hydrodynamic oscillatory time series by feed-forward neural networks, fuzzy logic, and a local nonlinear predictor

Pier Luigi Gentili, Hiroshi Gotoda, Milos Dolnik, Irving R. Epstein

Chaos 25, 013104 (2015)

https://doi.org/10.1063/1.4905458

Published: January 2015

View article titled, Analysis and prediction of aperiodic hydrodynamic oscillatory time series by feed-forward neural networks, fuzzy logic, and a local nonlinear predictor

Journal Articles

Novel type of chimera spiral waves arising from decoupling of a diffusible component

Xiaodong Tang, Tao Yang, Irving R. Epstein, Yang Liu, Yuemin Zhao, Qingyu Gao

J. Chem. Phys. 141, 024110 (2014)

https://doi.org/10.1063/1.4886395

Published: July 2014

View article titled, Novel type of chimera spiral waves arising from decoupling of a diffusible component

Journal Articles

Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns

Xiaodong Tang, Yuxiu He, Irving R. Epstein, Qun Wang, Shaorong Wang, Qingyu Gao

Chaos 24, 023109 (2014)

https://doi.org/10.1063/1.4872215

Published: April 2014

View article titled, Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns

Journal Articles

Spiral waves with superstructures in a mixed-mode oscillatory medium

Xiaodong Tang, Qingyu Gao, Shirui Gong, Yuemin Zhao, Irving R. Epstein

J. Chem. Phys. 137, 214303 (2012)

https://doi.org/10.1063/1.4768895

Published: December 2012

View article titled, Spiral waves with superstructures in a mixed-mode oscillatory medium

Journal Articles

A model for jumping and bubble waves in the Belousov–Zhabotinsky-aerosol OT system

Vladimir K. Vanag, Irving R. Epstein

J. Chem. Phys. 131, 104512 (2009)

https://doi.org/10.1063/1.3231488

Published: September 2009

View article titled, A model for jumping and bubble waves in the Belousov–Zhabotinsky-aerosol OT system

Journal Articles

Spiral instabilities in media supporting complex oscillations under periodic forcing

Qingyu Gao, Jun Li, Kailong Zhang, Irving R. Epstein

Chaos 19, 033134 (2009)

https://doi.org/10.1063/1.3224031

Published: September 2009

View article titled, Spiral instabilities in media supporting complex oscillations under periodic forcing

Journal Articles

Design and control of patterns in reaction-diffusion systems

Vladimir K. Vanag, Irving R. Epstein

Chaos 18, 026107 (2008)

https://doi.org/10.1063/1.2900555

Published: June 2008

View article titled, Design and control of patterns in reaction-diffusion systems

Journal Articles

Discontinuously propagating waves in the bathoferroin-catalyzed Belousov–Zhabotinsky reaction incorporated into a microemulsion

Alexander A. Cherkashin, Vladimir K. Vanag, Irving R. Epstein

J. Chem. Phys. 128, 204508 (2008)

https://doi.org/10.1063/1.2924119

Published: May 2008

View article titled, Discontinuously propagating waves in the bathoferroin-catalyzed Belousov–Zhabotinsky reaction incorporated into a microemulsion

Includes: Supplementary data

Journal Articles

Localized patterns in reaction-diffusion systems

Vladimir K. Vanag, Irving R. Epstein

Chaos 17, 037110 (2007)

https://doi.org/10.1063/1.2752494

Published: September 2007

View article titled, Localized patterns in reaction-diffusion systems

Journal Articles

Designing an enzymatic oscillator: Bistability and feedback controlled oscillations with glucose oxidase in a continuous flow stirred tank reactor

Vladimir K. Vanag, David G. Míguez, Irving R. Epstein

J. Chem. Phys. 125, 194515 (2006)

https://doi.org/10.1063/1.2378833

Published: November 2006

View article titled, Designing an enzymatic oscillator: Bistability and feedback controlled oscillations with glucose oxidase in a continuous flow stirred tank reactor

Journal Articles

Turing patterns beyond hexagons and stripes

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

Chaos 16, 037114 (2006)

https://doi.org/10.1063/1.2214167

Published: September 2006

View article titled, Turing patterns beyond hexagons and stripes

Journal Articles

Introduction: Self-organization in nonequilibrium chemical systems

Irving R. Epstein, John A. Pojman, Oliver Steinbock

Chaos 16, 037101 (2006)

https://doi.org/10.1063/1.2354477

Published: September 2006

View article titled, Introduction: Self-organization in nonequilibrium chemical systems

NARROW

Topics

Strong symmetry breaking rhythms created by folded nodes in a pair of symmetrically coupled, identical Koper oscillators

Symmetry-breaking rhythms in coupled, identical fast–slow oscillators

Effect of obstructions on growing Turing patterns

Phase-frequency model of strongly pulse-coupled Belousov-Zhabotinsky oscillators

The smallest chimera: Periodicity and chaos in a pair of coupled chemical oscillators

Pulse-coupled Belousov-Zhabotinsky oscillators with frequency modulation

Experimental, numerical, and mechanistic analysis of the nonmonotonic relationship between oscillatory frequency and photointensity for the photosensitive Belousov–Zhabotinsky oscillator

From chemical systems to systems chemistry: Patterns in space and time

Analysis and prediction of aperiodic hydrodynamic oscillatory time series by feed-forward neural networks, fuzzy logic, and a local nonlinear predictor

Novel type of chimera spiral waves arising from decoupling of a diffusible component

Diffusion-induced periodic transition between oscillatory modes in amplitude-modulated patterns

Spiral waves with superstructures in a mixed-mode oscillatory medium

A model for jumping and bubble waves in the Belousov–Zhabotinsky-aerosol OT system

Spiral instabilities in media supporting complex oscillations under periodic forcing

Design and control of patterns in reaction-diffusion systems

Discontinuously propagating waves in the bathoferroin-catalyzed Belousov–Zhabotinsky reaction incorporated into a microemulsion

Localized patterns in reaction-diffusion systems

Designing an enzymatic oscillator: Bistability and feedback controlled oscillations with glucose oxidase in a continuous flow stirred tank reactor

Turing patterns beyond hexagons and stripes

Introduction: Self-organization in nonequilibrium chemical systems

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