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Quasigauge spaces with generalized quasipseudodistances and periodic points of dissipative set-valued dynamic systems. (English) Zbl 1213.81161
The authors introduce the families of generalized quasipseudodistances in quasigauge spaces and define three kinds of dissipative set-valued dynamic systems with these families of generalized quasi-pseudodistances and with some families of not necessarily lower semicontinuous entropies. Assuming that quasigauge spaces are left K sequentially complete (but not necessarily Hausdorff), they prove that for each starting point each dynamic process or generalized sequence of iterations of these dissipative set-valued dynamic systems left converges. They also show that if an iterate of these dissipative set-valued dynamic systems is left quasiclosed, then these limit points are periodic points. Examples illustrating ideas, methods, definitions, and results are constructed.

MSC:
81S22Open systems, reduced dynamics, master equations, decoherence (quantum theory)
37L99Infinite-dimensional dissipative dynamical systems
References:
[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]
[32]
[33]
[34]
[35]
[36]
[37]
[38]
[39]
[40]
[41]
[42]
[43]
[44]