منابع مشابه
Analytical approximations for spiral waves.
We propose a non-perturbative attempt to solve the kinematic equations for spiral waves in excitable media. From the eikonal equation for the wave front we derive an implicit analytical relation between rotation frequency Ω and core radius R(0). For free, rigidly rotating spiral waves our analytical prediction is in good agreement with numerical solutions of the linear eikonal equation not only...
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Rogue waves is the name given by oceanographers to isolated large amplitude waves, that occur more frequently than expected for normal, Gaussian distributed, statistical events. Rogue waves are ubiquitous in nature and appear in a variety of different contexts. Besides water waves, they have been recently reported in liquid Helium, in nonlinear optics, microwave cavities, etc. The first part of...
متن کاملLattice Symmetry-Breaking Perturbations for Spiral Waves
Spiral waves occur in several natural phenomena, including reaction fronts in twodimension excitable media. In this thesis we attempt to characterize the motion of the spiral tip of a rigidly rotating wave and a linearly travelling wave in the context of a lattice perturbation. This system can be reduced to its center manifold, which allows us to describe the system as ordinary differential equ...
متن کاملSpiral Waves in Nonlocal Equations
We present a numerical study of rotating spiral waves in a partial integro-differential equation defined on a circular domain. This type of equation has been previously studied as a model for large scale pattern formation in the cortex and involves spatially nonlocal interactions through a convolution. The main results involve numerical continuation of spiral waves that are stationary in a rota...
متن کاملRemoval of a pinned spiral by generating target waves with a localized stimulus.
Pinning of spiral waves by defects in cardiac muscle may cause permanent tachycardia. We numerically study the removal of a pinned spiral by a localized stimulus at the boundary of a two-dimensional excitable medium. It is shown that target waves may be generated by an external local force, and then the target waves will interact with the pinned spiral. When the external force is appropriately ...
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ژورنال
عنوان ژورنال: Symposium - International Astronomical Union
سال: 1970
ISSN: 0074-1809
DOI: 10.1017/s0074180900000838