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Details for article 4 of 42 found articles
| Title: |
Analysis of a Non-linear Partial Difference Equation, and Its Application to Cardiac Dynamics |
| Author: |
Stubna, Michael D. Rand, Richard H. Gilmour, Robert F. |
| Appeared in: |
Journal of difference equations and applications |
| Paging: | Volume 8 (2002) nr. 12 pages 1147-1169 |
| Year: |
2002 |
| Contents: |
A model of a strip of cardiac tissue consisting of a one-dimensional chain of cardiac units is derived in the form of a non-linear partial difference equation. Perturbation analysis is performed on this equation, and it is shown that regular perturbations are inadequate due to the appearance of secular terms. A singular perturbation procedure known as the method of multiple scales is shown to provide good agreement with numerical simulation except in the neighborhood of a singularity of the slow flow. The perturbation analysis is supplemented by a local numerical simulation near this singularity. The resulting analysis is shown to predict a "spatial bifurcation" phenomenon in which parts of the chain may be oscillating in period-2 motion while other parts may be oscillating in higher periodic motion or even chaotic motion. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 4 of 42 found articles
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