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Stability of steady state and traveling waves solutions in coupled map lattices. (English) Zbl 1143.37331

MSC:
37L60 Lattice dynamics and infinite-dimensional dissipative dynamical systems
35P05 General topics in linear spectral theory for PDEs
35Q51 Soliton equations
47N20 Applications of operator theory to differential and integral equations
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References:
[1] Afraimovich V. S., Rand. Comput. Dyn. 1 pp 423–
[2] Afraimovich V. S., Rand. Comput. Dyn. 2 pp 287–
[3] DOI: 10.1007/978-1-4612-3048-9 · doi:10.1007/978-1-4612-3048-9
[4] DOI: 10.1103/PhysRevE.61.1329 · doi:10.1103/PhysRevE.61.1329
[5] Chow S.-N., Dyn. Syst. Appl. 4 pp 1–
[6] DOI: 10.1006/jdeq.1998.3478 · Zbl 0911.34050 · doi:10.1006/jdeq.1998.3478
[7] DOI: 10.1016/S0167-2789(97)82005-2 · Zbl 0933.37005 · doi:10.1016/S0167-2789(97)82005-2
[8] DOI: 10.1142/S0218127403006571 · Zbl 1067.82042 · doi:10.1142/S0218127403006571
[9] Kaneko K., Theory and Applications of Coupled Map Lattices (1993) · Zbl 0777.00014
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