Diffusion-driven destabilization of spatially homogeneous limit cycles in reaction-diffusion systems
From MaRDI portal
Publication:4642573
DOI10.1063/1.4978924OpenAlexW2603374957WikidataQ50937007 ScholiaQ50937007MaRDI QIDQ4642573
Masataka Kuwamura, Hirofumi Izuhara
Publication date: 23 May 2018
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4978924
Related Items (6)
Diffusion-driven instability of both the equilibrium solution and the periodic solutions for the diffusive sporns-seelig model ⋮ Turing instability of the periodic solutions for reaction-diffusion systems with cross-diffusion and the patch model with cross-diffusion-like coupling ⋮ Turing instability of the periodic solution for a generalized diffusive Maginu model ⋮ Turing and Benjamin–Feir instability mechanisms in non-autonomous systems ⋮ Bifurcations in Twinkling Patterns for the Lengyel–Epstein Reaction–Diffusion Model ⋮ Oscillations and bifurcation structure of reaction-diffusion model for cell polarity formation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic methods for reaction-diffusion systems: past and present
- Infinite dimensional relaxation oscillation in aggregation-growth systems
- Positioning of polarity formation by extracellular signaling during asymmetric cell division
- Self-organization and advective transport in the cell polarity formation for asymmetric cell division
- Chemical oscillations, waves, and turbulence
- Turing instabilities at Hopf bifurcation
- Stability of spatially homogeneous periodic solutions of reaction- diffusion equations
- Global dynamics of a reaction-diffusion system with mass conservation
- Lyapunov function and spectrum comparison for a reaction-diffusion system with mass conservation
- Mathematical physiology. I: Cellular physiology
- Stability and bifurcation of nonconstant solutions to a reaction–diffusion system with conservation of mass
- Numerical Integration of Stochastic Differential Equations-II
- The chemical basis of morphogenesis
- Noise-Induced Phenomena in Slow-Fast Dynamical Systems
- Pattern formation outside of equilibrium
- Averaging methods in nonlinear dynamical systems
This page was built for publication: Diffusion-driven destabilization of spatially homogeneous limit cycles in reaction-diffusion systems
