Persistence of periodic patterns for perturbed biological oscillators
DOI10.1016/J.JDE.2009.07.034zbMath1362.34069OpenAlexW1977608018MaRDI QIDQ1038466
Manjun Ma, Xiao-Qiang Zhao, Chunhua Ou
Publication date: 18 November 2009
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2009.07.034
Periodic solutions to ordinary differential equations (34C25) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Applications of operator theory to differential and integral equations (47N20) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Pattern formations in context of PDEs (35B36)
Cites Work
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- The mathematical modeling of entrained biological oscillators
- Nonlinear biological oscillators: Action-angle variable approach with an application to Cowan's model of neuroelectric activity
- Critical point theory and Hamiltonian systems
- A simple model for phase locking of biological oscillators
- Target patterns and spiral waves in reaction-diffusion systems with limit cycle kinetics and weak diffusion
- Introduction to functional differential equations
- Symmetries, periodic plane waves and blow-up of \(\lambda-\omega\) systems
- Dual variational methods in critical point theory and applications
- Periodic traveling waves for diffusion equations with time delayed and non-local responding reaction
- Synchronization of Pulse-Coupled Biological Oscillators
- A reaction-diffusion system of $\lambda$–$\omega$ type Part II: Numerical analysis
- Traveling Waves in Diffusive Predator–Prey Equations: Periodic Orbits and Point-to-Periodic Heteroclinic Orbits
- Plane Wave Solutions to Reaction-Diffusion Equations
- On the Evolution of Periodic Plane Waves in Reaction-Diffusion Systems of $\lambda $–$\omega$ Type
- The Existence of Spiral Waves in an Oscillatory Reaction-Diffusion System
- A reaction-diffusion system of $\lambda$ – $\omega$ type Part I: Mathematical analysis
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