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Journal Articles

Analytical and Numerical Solutions of the Riccati Equation Using the Method of Variation of Parameters. Application to Population Dynamics

Orestes Tumbarell Aranda, Fernando A. Oliveira
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2020, 15(10): 101009.
Paper No: CND-20-1087
https://doi.org/10.1115/1.4047990
Published Online: August 26, 2020
View Article titled, Analytical and Numerical Solutions of the Riccati Equation Using the Method of Variation of Parameters. Application to Population Dynamics
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Topics: Density, Differential equations, Dynamics (Mechanics), Pattern formation
Journal Articles

Multistability and Stochastic Phenomena in the Distributed Brusselator Model

Alexander Kolinichenko, Lev Ryashko
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2020, 15(1): 011007.
Paper No: CND-19-1096
https://doi.org/10.1115/1.4045405
Published Online: November 22, 2019
View Article titled, Multistability and Stochastic Phenomena in the Distributed Brusselator Model
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Topics: Attractors, Bifurcation, Noise (Sound), Pattern formation, Transients (Dynamics), Oscillations, Diffusion (Physics), Computer simulation
Journal Articles

Different Types of Instabilities and Complex Dynamics in Reaction-Diffusion Systems With Fractional Derivatives

Vasyl Gafiychuk, Bohdan Datsko
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2012, 7(3): 031001.
https://doi.org/10.1115/1.4005923
Published Online: March 19, 2012
View Article titled, Different Types of Instabilities and Complex Dynamics in Reaction-Diffusion Systems With Fractional Derivatives
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Topics: Bifurcation, Diffusion (Physics), Dynamics (Mechanics), Eigenvalues, Pattern formation, Stability, Computer simulation, Waves