Search Results - "Lengyel–Epstein"

Investigating a one-dimensional Lengyel–Epstein system under the influence of multiplicative time noise

Authors: Fathea M. O. Birkea Muhammad Waqas Yasin Nauman Ahmed et al.

Source: Discover Applied Sciences, Vol 7, Iss 10, Pp 1-20 (2025)

Subject Terms: Stochastic Lengyel–Epstein system, Existence results, Novel schemes, Analysis of the schemes, Simulations, Science (General), Q1-390

File Description: electronic resource

Relation: https://doaj.org/toc/3004-9261

Access URL: https://doaj.org/article/170b5d5bff1f41bf8a0cb4670b7dbe4f

Dynamical Analysis of a Local Lengley-Epstein System Coupled with Fractional Delayed Differential Equations

Authors: Ercan BALCI

Source: Journal of Mathematical Sciences and Modelling, Vol 6, Iss 2, Pp 56-64 (2023)
Volume: 6, Issue: 2 56-64
Journal of Mathematical Sciences and Modelling

Subject Terms: Matematik, Caputo fractional derivative, Fractional delayed differential equations, Hopf bifurcation, Lengyel-Epstein equation, caputo fractional derivative, lengyel-epstein equation, 0103 physical sciences, QA1-939, fractional delayed differential equations, hopf bifurcation, 01 natural sciences, Mathematical Sciences, Mathematics

File Description: application/pdf

Access URL: https://doaj.org/article/797b556260364230ad56c438b21ded24
https://avesis.erciyes.edu.tr/publication/details/e4f64ff1-42d9-45f3-bbf8-209752dca2d2/oai
https://dergipark.org.tr/tr/pub/jmsm/issue/77225/1222532

Turing instability in the Lengyel–Epstein fractional Laplacian system

Authors: Salim Zidi

Source: Boundary Value Problems, Vol 2024, Iss 1, Pp 1-20 (2024)

Subject Terms: Turing instability, Lengyel–Epstein, Regional fractional Laplacian, Nonconstant positive solutions, Analysis, QA299.6-433

File Description: electronic resource

Relation: https://doaj.org/toc/1687-2770

Access URL: https://doaj.org/article/225e5fa965a64b91952a6b89e2c5867d

Stability Analysis of a Fractional-Order Lengyel–Epstein Chemical Reaction Model

Authors: Bouaziz, Khelifa Djeddi, Nadhir Ogilat, Osama et al.

Source: International Journal of Robotics and Control Systems; Vol 5, No 2 (2025); 1539-1551 ; 2775-2658

Subject Terms: Lengyel-Epstein Chemical, Oscillatory Chemical Reactions, Stability Analysis, Equilibrium Points, Numerical Simulation, Forward Euler Method

File Description: application/pdf

Relation: https://pubs2.ascee.org/index.php/IJRCS/article/view/1848/pdf; https://pubs2.ascee.org/index.php/IJRCS/article/view/1848

Availability: https://pubs2.ascee.org/index.php/IJRCS/article/view/1848
https://doi.org/10.31763/ijrcs.v5i2.1848

Finite-Time Stability Analysis of a Discrete-Time Generalized Reaction–Diffusion System

Authors: Othman Abdullah Almatroud Adel Ouannas

Source: Mathematics, Vol 12, Iss 23, p 3679 (2024)

Subject Terms: generalized reaction–diffusion system, finite difference methods, discrete system, time delays, Lengyel–Epstein system, Matlab’s LMI toolbox, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2227-7390/12/23/3679; https://doaj.org/toc/2227-7390

Access URL: https://doaj.org/article/15a91d76becb44f395c0dc6dc997dd1b

A New Investigation on Dynamics of the Fractional Lengyel-Epstein Model: Finite Time Stability and Finite Time Synchronization

Authors: Hani Mahmoud Almimi Ma’mon Abu Hammad Ghadeer Farraj et al.

Source: Computation, Vol 12, Iss 10, p 197 (2024)

Subject Terms: finite time frame, Lengyel–Epstein reaction-diffusion systems, Lyapunov theory, linear controllers, finite-time stability, finite-time synchronization, Electronic computers. Computer science, QA75.5-76.95

Relation: https://www.mdpi.com/2079-3197/12/10/197; https://doaj.org/toc/2079-3197; https://doaj.org/article/cc2f4ae756ab481e95508e66dbcfa142

Availability: https://doi.org/10.3390/computation12100197
https://doaj.org/article/cc2f4ae756ab481e95508e66dbcfa142

Comparison of Adams-Bashforth-Moulton and Dormand-Prince Methods in Lengyel-Epstein Reaction Model Forming Zinc Oxide Nanostructures

Authors: Fatima, Kaniz Ishaque, Sarwat Ahmed, Humaira et al.

Source: Scientific Inquiry and Review; Vol 8 No 3: September 2024; 88-101 ; 2521-2435 ; 2521-2427

Subject Terms: Adams-Bashforth-Moulton (ABM) method, aqueous chemical growth, Dormand-Prince method, Lengyel-Epstein reaction model, ordinary differential equations, zinc oxide (ZnO) nanostructures

File Description: application/pdf; text/html

Relation: https://journals.umt.edu.pk/index.php/SIR/article/view/5952/2715; https://journals.umt.edu.pk/index.php/SIR/article/view/5952/2806; https://journals.umt.edu.pk/index.php/SIR/article/view/5952

Availability: https://journals.umt.edu.pk/index.php/SIR/article/view/5952
https://doi.org/10.32350/sir.83.04

On Fractional-Order Discrete-Time Reaction Diffusion Systems

Authors: Almatroud O. A. Hioual A. Ouannas A. et al.

Contributors: Almatroud O. A. Hioual A. Ouannas A. et al.

Subject Terms: Lengyel-Epstein reaction-diffusion system, second order difference operator, fractional-order Caputo PLANCK CONSTANT OVER TWO PI-difference operator, Lyapunov function, local stability, global stability

File Description: ELETTRONICO

Relation: info:eu-repo/semantics/altIdentifier/wos/WOS:001006219800001; volume:11; numberofpages:16; journal:MATHEMATICS; https://hdl.handle.net/11587/532206

Availability: https://hdl.handle.net/11587/532206
https://doi.org/10.3390/math11112447

Synchronization of Fractional Partial Difference Equations via Linear Methods

Authors: Ibraheem Abu Falahah Amel Hioual Mowafaq Omar Al-Qadri et al.

Source: Axioms ; Volume 12 ; Issue 8 ; Pages: 728

Subject Terms: fractional discrete reaction-diffusion Degn-Harrison system, discrete-time fractional reaction-diffusion Lengyel–Epstein system, second-order difference operator, Caputo ℏ-difference operator, complete synchronization, Lyapunov method

File Description: application/pdf

Relation: Mathematical Analysis; https://dx.doi.org/10.3390/axioms12080728

Availability: https://doi.org/10.3390/axioms12080728

Numerical study and stability of the Lengyel–Epstein chemical model with diffusion

Authors: Zain Ul Abadin Zafar Zahir Shah Nigar Ali et al.

Source: Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-24 (2020)

Subject Terms: Lengyel–Epstein chemical reaction (LECR) model, Mathematical modeling, Forward Euler method, Stability analysis, Crank–Nicolson method, Equilibrium nodes, Mathematics, QA1-939

File Description: electronic resource

Relation: http://link.springer.com/article/10.1186/s13662-020-02877-6; https://doaj.org/toc/1687-1847

Access URL: https://doaj.org/article/5e525dde15db4579bf8d71d1687ea7b8

Hopf Bifurcations of a Lengyel-Epstein Model Involving Two Discrete Time Delays

Authors: Bilazeroğlu, Şeyma Merdan, Hüseyin Guerrini, Luca

Subject Terms: Tumor, Stability, System, Turing Patterns, Differential-Equations, Diffusion-Driven Instability, periodic solutions, time delay, functional differential equation, delay differential equation, Hopf bifurcation, oscillating reaction, Lengyel-Epstein system

Relation: Discrete and Continuous Dynamical Systems; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; https://hdl.handle.net/20.500.11851/8194; https://doi.org/10.3934/dcdss.2021150; WOS:000725204300001; Q2

Availability: https://hdl.handle.net/20.500.11851/8194
https://doi.org/10.3934/dcdss.2021150

Implementation of Lengyel-Epstein Reaction Model for Zinc Oxide (ZnO) Nanostructures by Comparing Euler and Fourth-Order Runge–Kutta (RK) Methods

Authors: Kaniz Fatima Basit Ali Mahnoor

Source: Scientific Inquiry and Review; Vol 6 No 1: March 2022 ; 2521-2435 ; 2521-2427

Subject Terms: Aqueous Chemical Growth (ACG) method, Euler’s method, Lengyel-Epstein reaction model, nanostructures, fourth-order Runge–Kutta (RK) method, Zinc Oxide (ZnO)

File Description: application/pdf

Relation: https://journals.umt.edu.pk/index.php/SIR/article/view/2080/1028; https://journals.umt.edu.pk/index.php/SIR/article/view/2080

Availability: https://journals.umt.edu.pk/index.php/SIR/article/view/2080
https://doi.org/10.32350/sir.61.02

Extended Global Asymptotic Stability Conditions for a Generalized Reaction–Diffusion System

Authors: Mokhtar Kirane Salem Abdelmalek Samir Bendoukha et al.

Source: Acta Applicandae Mathematicae

Subject Terms: Global asymptotic stability, Reaction diffusion equations, Lengyel–Epstein system, 0101 mathematics, Global existence, 01 natural sciences

Access URL: https://openrepository.ru/article?id=257388
https://link.springer.com/article/10.1007/s10440-018-0191-0

Synchronization results for a class of fractional-order spatiotemporal partial differential systems based on fractional Lyapunov approach

Authors: Adel Ouannas Xiong Wang Viet-Thanh Pham et al.

Source: Boundary Value Problems, Vol 2019, Iss 1, Pp 1-12 (2019)

Subject Terms: Fractional calculus, Synchronization, Fractional Lyapunov approach, Reaction–diffusion systems, Lengyel–Epstein systems, Analysis, QA299.6-433

File Description: electronic resource

Relation: http://link.springer.com/article/10.1186/s13661-019-1188-y; https://doaj.org/toc/1687-2770

Access URL: https://doaj.org/article/66b61b83ca504db3803199bf7e1cf437

Extended Global Asymptotic Stability Conditions for a Generalized Reaction–Diffusion System

Authors: Abdelmalek S. Bendoukha S. Rebiai B. et al.

Source: Acta Applicandae Mathematicae

Subject Terms: Global asymptotic stability, Global existence, Lengyel–Epstein system, Reaction diffusion equations

Relation: https://doi.org/10.1007/s10440-018-0191-0; https://openrepository.ru/article?id=257388

Availability: https://openrepository.ru/article?id=257388

Optimal control problem for Lengyel–Epstein model with obstacles and state constraints

Authors: Jiashan Zheng

Source: Nonlinear Analysis, Vol 21, Iss 1 (2016)

Subject Terms: optimal control, QA299.6-433, 0103 physical sciences, necessary conditions, 0101 mathematics, Lengyel–Epstein model, obstacles, 01 natural sciences, Analysis

Access URL: http://www.journals.vu.lt/nonlinear-analysis/article/download/13495/12415
https://doaj.org/article/ffb972d7222147a6aa9e0a37343ce8cd
https://www.journals.vu.lt/nonlinear-analysis/article/download/13495/12415
https://www.journals.vu.lt/nonlinear-analysis/article/view/13495
https://www.mii.lt/NA/2016/1/2.htm

Bifurcation in the Lengyel–Epstein system for the coupled reactors with diffusion

Authors: Shaban Aly

Source: Journal of the Egyptian Mathematical Society. 24:25-29

Subject Terms: Lengyel–Epstein, Turing instability, Hopf bifurcation, 0101 mathematics, Coupled reactors, 01 natural sciences

Access URL: http://www.sciencedirect.com/science/article/pii/S1110256X14000972
https://core.ac.uk/display/81962280
https://www.sciencedirect.com/science/article/pii/S1110256X14000972

Hopf bifurcations in Lengyel–Epstein reaction–diffusion model with discrete time delay

Authors: Hüseyin Merdan S. Kayan

Source: Nonlinear Dynamics. 79:1757-1770

Subject Terms: Periodic solutions, Hopf bifurcation, 0101 mathematics, Stability, 01 natural sciences, Time delay, Lengyel-Epstein reaction-diffusion model

Access URL: https://hdl.handle.net/20.500.11851/1677
https://doi.org/10.1007/s11071-014-1772-8 10.1007/s11071-014-1772-8
https://link.springer.com/article/10.1007%2Fs11071-014-1772-8
https://hdl.handle.net/20.500.11851/1677
https://doi.org/10.1007/s11071-014-1772-8

Hopf bifurcation analysis in the 1-D Lengyel–Epstein reaction–diffusion model

Authors: Linglong Du Mingxin Wang

Source: Journal of Mathematical Analysis and Applications. 366:473-485

Subject Terms: Non-homogeneous periodic solutions, Applied Mathematics, Hopf bifurcation, 0101 mathematics, Lengyel–Epstein model, 01 natural sciences, Analysis

Access URL: https://core.ac.uk/display/81137396
https://www.sciencedirect.com/science/article/abs/pii/S0022247X10001113
https://www.sciencedirect.com/science/article/pii/S0022247X10001113

Bifurcations in Twinkling Patterns for the Lengyel–Epstein Reaction–Diffusion Model

Authors: Sarria-Gonzalez J. Sgura I. Ricard M. R.

Source: International Journal of Bifurcation and Chaos. 31:2150164

Subject Terms: 0103 physical sciences, bifurcation, Lengyel-Epstein model, limit cycle, Pattern formation, Turing-Hopf instability, 0101 mathematics, 01 natural sciences

Access URL: https://dblp.uni-trier.de/db/journals/ijbc/ijbc31.html#Sarria-Gonzalez21
http://ui.adsabs.harvard.edu/abs/2021IJBC...3150164S/abstract
https://www.worldscientific.com/doi/abs/10.1142/S0218127421501649