Dynamics of scroll waves with time-delay propagation in excitable media
| Autor: | Jiang-Xing Chen, Jie Xiao, Li-Yan Qiao, Jiang-Rong Xu |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Numerical Analysis Series (mathematics) Plane (geometry) Quantitative Biology::Tissues and Organs Applied Mathematics Dynamics (mechanics) Scroll Mechanics 01 natural sciences 010305 fluids & plasmas Protein filament Mathematics::Algebraic Geometry Meander (mathematics) Modeling and Simulation 0103 physical sciences Cylinder 010301 acoustics Phase diagram |
| Zdroj: | Communications in Nonlinear Science and Numerical Simulation. 59:331-337 |
| ISSN: | 1007-5704 |
| DOI: | 10.1016/j.cnsns.2017.11.014 |
| Popis: | Information transmission delay can be widely observed in various systems. Here, we study the dynamics of scroll waves with time-delay propagation among slices in excitable media. Weak time delay induces scroll waves to meander. Through increasing the time delay, we find a series of dynamical transitions. Firstly, the straight filament of a scroll wave becomes twisted. Then, the scroll wave breaks and forms interesting patterns. With long time delay, loosed scroll waves are maintained while their period are greatly decreased. Also, cylinder waves appears. The influences of diffusively coupling strength on the time-delay-induced scroll waves are studied. It is found that the critical time delay characterizing those transitions decreases as the coupling strength is increased. A phase diagram in the diffusive coupling-time delay plane is presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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