Coupled Map Lattices via Transfer Operators on Functions of Bounded Variation

نویسنده

  • GERHARD KELLER
چکیده

We describe the transfer operator approach to coupled map lattices (CML) in cases where the local map is expanding but has no Markov partition (e.g. a general tent map). The coupling is allowed to be non-local, but the total innuence of all sites j 6 = i on site i must be small. The main technical tool are lattice-size independent estimates of Lasota-Yorke type which show that the transfer (Perron-Frobenius) operator of the coupled system is quasicompact as an operator on the space of functions of bounded variation.

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تاریخ انتشار 1996