Spiral Waves in Reaction-Diffusion Equations
Data up to Jan 2025
Total Citations Per Year
Abstract
References (21)
Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating System
1970 • 1,839 citations
Mathematical Aspects of Reacting and Diffusing Systems
1979 • 1,271 citations
The approach of solutions of nonlinear diffusion equations to travelling front solutions
1977 • 1,104 citations
MAXIMUM PRINCIPLES IN DIFFERENTIAL EQUATIONS
1969 • 676 citations
Oscillatory Phenomena in Biochemistry
1971 • 486 citations
Signal Propagation during Aggregation in the Slime Mould Dictyostelium discoideum
1974 • 324 citations
Pacemaker activity during aggregation in Dictyostelium discoideum
1974 • 109 citations
Rotating Spiral Wave Solutions of Reaction-Diffusion Equations
1978 • 109 citations
Stably Rotating Patterns of Reaction and Diffusion
1978 • 62 citations
Spiral Waves for $\lambda -\omega $ Systems
1980 • 62 citations
Chemical Waves and the Diffusive Coupling of Limit Cycle Oscillators
1979 • 59 citations
Target Patterns and Horseshoes from a Perturbed Central‐Force Problem: Some Temporally Periodic Solutions to Reaction‐Diffusion Equations
1981 • 55 citations
On the dynamic behavior of the catalytic fixed-bed reactor in the region of multiple steady states—II. The influence of the boundary conditions in the catalyst phase
1972 • 44 citations
Resonance in Periodically Perturbed Hopf Bifurcation
1981 • 34 citations
Traveling Wave and Multiple Traveling Wave Solutions of Parabolic Equations
1982 • 33 citations
Spiral Wave Solutions of Practical Reaction-Diffusion Systems
1980 • 31 citations
Diffusion-induced morphogenesis in the development of Dictyostelium
1981 • 30 citations
The Instability of Nonmonotonic Wave Solutions of Parabolic Equations
1981 • 26 citations
Dynamic Padé approximants in the theory of periodic and chaotic chemical center waves
1978 • 21 citations
Flickering and ThermalFlicker Waves on Catalytic Wires and Gauzes and in Chemical Reactors
1980 • 8 citations
Bifurcation of periodic oscillations due to delays in single species growth models
1978 • 8 citations