Title of article :
Heteroclinic contours and self-replicated solitary waves in a reaction–diffusion lattice with complex threshold excitation
Author/Authors :
Nekorkin، نويسنده , , V.I. and Shapin، نويسنده , , D.S. and Dmitrichev، نويسنده , , A.S. and Kazantsev، نويسنده , , V.B. and Binczak، نويسنده , , S. and Bilbault، نويسنده , , J.M.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
Pages :
13
From page :
2463
To page :
2475
Abstract :
The space–time dynamics of the network system modeling collective behavior of electrically coupled nonlinear cells is investigated. The dynamics of a local cell is described by the FitzHugh–Nagumo system with complex threshold excitation. Heteroclinic orbits defining traveling wave front solutions are investigated in a moving frame system. A heteroclinic contour formed by separatrix manifolds of two saddle-foci is found in the phase space. The existence of such structure indicates the appearance of complex wave patterns in the network. Such solutions have been confirmed and analyzed numerically. Complex homoclinic orbits found in the neighborhood of the heteroclinic contour define the propagation of composite pulse excitations that can be self-replicated in collisions leading to the appearance of complex wave patterns.
Keywords :
nonlinear waves , Nonlinear dynamics , Homoclinic , Heteroclinic orbits , pattern formation
Journal title :
Physica D Nonlinear Phenomena
Serial Year :
2008
Journal title :
Physica D Nonlinear Phenomena
Record number :
1728659
Link To Document :
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