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Propagation failure of traveling waves in a discrete bistable medium

✍ Scribed by Gábor Fáth

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
706 KB
Volume
116
Category
Article
ISSN
0167-2789

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✦ Synopsis

Propagation failure (pinning) of traveling waves is studied in a discrete scalar reaction--diffusion equation with a piecewise linear, bistable reaction function. The critical points of the pinning transition, and the wavefront profile at the onset of propagation are calculated exactly. The scaling of the wave speed near the transition, and the leading corrections to the front shape are also determined. We find that the speed vanishes logarithmically close to the critical point, thus the model belongs to a different universality class than the standard Nagumo model, defined with a smooth, polynomial reaction function.

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✍ DEY, S.; GUPTA, A. K.; GUPTA, S. 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 208 KB 👁 1 views

It is well known that an elastic homogeneous half-space does not allow torsional surface waves to propagate. The present paper attempts to find out the possibility of propagation of such waves in a viscoelastic half-space. The study reveals that although the homogeneous elastic half-space does not