Stability of spatially homogeneous periodic solutions of reaction- diffusion equations
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Publication:1253728
DOI10.1016/0022-0396(79)90156-6zbMath0397.34053OpenAlexW2043713410MaRDI QIDQ1253728
Publication date: 1979
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(79)90156-6
Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20)
Related Items (21)
Destabilization of periodic solutions arising in delay-diffusion systems in several space dimensions ⋮ Diffusion-driven instability of both the equilibrium solution and the periodic solutions for the diffusive sporns-seelig model ⋮ Unstable wavetrains and chaotic wakes in reaction-diffusion systems of \(\lambda-\omega\) type ⋮ Turing instability of the periodic solutions for reaction-diffusion systems with cross-diffusion and the patch model with cross-diffusion-like coupling ⋮ Periodic travelling waves in a family of deterministic cellular automata ⋮ On the dynamics of the diffusive Field-Noyes model for the Belousov-Zhabotinskii reaction ⋮ Turing instability of the periodic solution for a generalized diffusive Maginu model ⋮ Destabilization of synchronous periodic solutions for patch models ⋮ Spatiotemporal patterns and bifurcations of a delayed diffusive predator-prey system with fear effects ⋮ Dynamics of a three-molecule autocatalytic Schnakenberg model with cross-diffusion: Turing patterns of spatially homogeneous Hopf bifurcating periodic solutions ⋮ On positive periodic solutions of the time-space periodic Lotka-Volterra cooperating system in multi-dimensional media ⋮ Analysis of bifurcation, chaos and pattern formation in a discrete time and space Gierer Meinhardt system ⋮ Stability of periodic travelling wave solutions with large spatial periods in reaction-diffusion systems ⋮ Supercritical Hopf bifurcation and Turing patterns for an activator and inhibitor model with different sources ⋮ Diffusion-driven destabilization of spatially homogeneous limit cycles in reaction-diffusion systems ⋮ Stripe and spot patterns for the Gierer-Meinhardt model with saturated activator production ⋮ Stripe and Spot Patterns for General Gierer–Meinhardt Model with Common Sources ⋮ Two components is too simple: an example of oscillatory Fisher–KPP system with three components ⋮ Turing instability of the periodic solutions for the diffusive Sel'kov model with saturation effect ⋮ Periodic solutions of systems of parabolic equations in unbounded domains ⋮ Wave trains, self-oscillations and synchronization in discrete media
Cites Work
- Reaction-diffusion equation describing morphogenesis. I: Waveform stability of stationary wave solutions in a one dimensional model
- The chemical basis of morphogenesis
- On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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