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Stability of steady-state solutions in multidimensional coupled map lattices. (English) Zbl 1129.37346
MSC:
37L60 Lattice dynamics and infinite-dimensional dissipative dynamical systems
37L15 Stability problems for infinite-dimensional dissipative dynamical systems
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics
37C99 Smooth dynamical systems: general theory
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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] Afraimovich V. S., Physica 80 pp 277–
[4] DOI: 10.1007/978-1-4612-3048-9 · doi:10.1007/978-1-4612-3048-9
[5] DOI: 10.1088/0951-7715/1/4/001 · Zbl 0679.58028 · doi:10.1088/0951-7715/1/4/001
[6] DOI: 10.1006/jdeq.1995.1163 · Zbl 0845.58041 · doi:10.1006/jdeq.1995.1163
[7] DOI: 10.1142/S0218127403006571 · Zbl 1067.82042 · doi:10.1142/S0218127403006571
[8] Harte R., Proc. Roy. Irish Acad. 88 pp 103–
[9] Kaneko K., Theory and Applications of Coupled Map Lattices (1993) · Zbl 0777.00014
[10] DOI: 10.1080/1468936021000041672 · Zbl 1036.37028 · doi:10.1080/1468936021000041672
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