Deterministic Brownian motion in the hypermeander of spiral waves

DOI10.1016/S0167-2789(97)00304-7zbMath0922.58049OpenAlexW1992483035WikidataQ57943698 ScholiaQ57943698MaRDI QIDQ1265835

V. N. Biktashev, Arun V. Holden

Publication date: 3 May 1999

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00304-7

zbMATH Keywords

excitable mediadeterministic diffusionspiral waveskew producthypermeander of spiral waves

Mathematics Subject Classification ID

Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator--prey pursuit and evasion example, Spatio-temporal patterns in two-dimensional excitable media subject to Robin boundary conditions, Robustness of spiral waves in two-dimensional reactive-diffusive media., A Huygens principle for diffusion and anomalous diffusion in spatially extended systems, ON BIFURCATIONS OF SPIRAL WAVES IN THE PLANE, Spatio-temporal patterns in excitable media with non-solenoidal flow straining., Hypermeander of spirals: local bifurcations and statistical properties, Convection-induced anisotropy in excitable media subject to solenoidal advective flow fields., Computational biology of propagation in excitable media models of cardiac tissue

Cites Work

• Unnamed Item
• Unnamed Item
• Spiral wave dynamics
• SPIRAL WAVE MEANDER AND SYMMETRY OF THE PLANE
• A SURVEY OF SPIRAL-WAVE BEHAVIORS IN THE OREGONATOR MODEL
• FOURIER ANALYSIS OF THE COMPLEX MOTION OF SPIRAL TIPS IN EXCITABLE MEDIA
• Varieties of spiral wave behavior: An experimentalist’s approach to the theory of excitable media
• A dynamical systems approach to spiral wave dynamics
• Bifurcations of limit cycles of differential equations admitting an involutive symmetry
• Optimization of methods of solving ordinary differential equations with strongly oscillating solutions