Dierckx, Hans, Panfilov, AV, Verschelde, H, Biktashev, VN and Biktasheva, IV ORCID: 0000-0003-2906-2881
(2019)
Response function framework for the dynamics of meandering or large-core spiral waves and modulated traveling waves.
PHYSICAL REVIEW E, 99 (2).
022217-.
Text
1901.05530v3.pdf - Submitted version Download (1MB) |
Abstract
In many oscillatory or excitable systems, dynamical patterns emerge which are stationary or periodic in a moving frame of reference. Examples include traveling waves or spiral waves in chemical systems or cardiac tissue. We present a unified theoretical framework for the drift of such patterns under small external perturbations, in terms of overlap integrals between the perturbation and the adjoint critical eigenfunctions of the linearized operator (i.e., response functions). For spiral waves, the finite radius of the spiral tip trajectory and spiral wave meander are taken into account. Different coordinate systems can be chosen, depending on whether one wants to predict the motion of the spiral-wave tip, the time-averaged tip path, or the center of the meander flower. The framework is applied to analyze the drift of a meandering spiral wave in a constant external field in different regimes.
Item Type: | Article |
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Uncontrolled Keywords: | nlin.PS, nlin.PS |
Depositing User: | Symplectic Admin |
Date Deposited: | 25 Jan 2019 11:42 |
Last Modified: | 19 Jan 2023 01:06 |
DOI: | 10.1103/PhysRevE.99.022217 |
Open Access URL: | https://doi.org/10.1103/PhysRevE.99.022217 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3031792 |