Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 41, Issue 43, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/41/43/435101
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Funding
- Office of Naval Research [N00014-02-1-0056]
- NSF [DMS-0417800]
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Starting from kicked equations of motion with derivatives of non-integer orders, we obtain 'fractional' discrete maps. These maps are generalizations of well-known universal, standard, dissipative, kicked damped rotator maps. The main property of the suggested fractional maps is a long-term memory. The memory effects in the fractional discrete maps mean that their present state evolution depends on all past states with special forms of weights. These forms are represented by combinations of power-law functions.
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