ABSTRACT: A three-dimensional structure composed of two coupled discrete excitable lattices is considered. Each lattice (layer) is a discrete excitable subsystem and using a local model of excitation transfer and failure we have estimated the sufficient conditions for it to exhibit spiral waves. Then we show how interlayer synchronization of all motions is possible. Various effects of spiral wave synchronization, re-entry and failure are also investigated.
Physical Review E 02/2001; 63(1 Pt 2):016212. · 2.26 Impact Factor
ABSTRACT: A fiber-like lattice with resistively coupled electronic elements mimicking a 1-D discrete reaction-diffusion system is considered.
The chosen unit or element in the fiber is the paradigmatic Chua’s circuit, capable of exhibiting bistable, excitable, oscillatory
or chaotic behavior. Then the dynamics of a structure of two such interacting parallel active fibers is studied. Suitable
conditions for the interaction to yield synchronization and other forms of collective behavior involving both fibers are obtained.
They include wave front propagation, pulse reentry and pulse propagation failure, overcoming of propagation failure, and the
appearance of a source of synchronized pulses. The possibility of designing controlled dynamic contacts by means of one or a few inter-fiber couplings is also discussed.
PACS. 05.45.-a Nonlinear dynamics and nonlinear dynamical systems
Physics of Condensed Matter 04/1999; 11(4):677-685. · 1.53 Impact Factor
ABSTRACT: The interaction of two coupled chains of Chua's circuits is
investigated. The estimated value of coupling between the chains above
which mutual synchronization of all dynamic processes occurs is found.
The examples of the synchronization of two steady patterns and traveling
wave fronts are given
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference; 09/1997