A GROUPOID FRAMEWORK FOR STUDY ASYMPTOTIC BEHAVIOR OF A DISCRETE SYSTEM
The purpose of this note is to introduce four different groupoids associated to a function f:XNNX, where X is a uniform space. Thesegroupoids allow to study within a unified framework theasymptotic behavior of thediscrete systems of the form xn+1 = 0 n,n f (xn,,xn-1,…, 0 n x ) that do not n...
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| Format: | Article |
| Language: | English |
| Published: |
Academica Brancusi
2017-05-01
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| Series: | Fiabilitate şi Durabilitate |
| Subjects: | |
| Online Access: | http://www.utgjiu.ro/rev_mec/mecanica/pdf/2017-01/47_M%C4%83d%C4%83lina%20Roxana%20BUNECI%20-%20A%20GROUPOID%20FRAMEWORK%20FOR%20STUDY%20ASYMPTOTIC%20BEHAVIOR%20OF%20A%20DISCRETE%20SYSTEM.pdf |
| Summary: | The purpose of this note is to introduce four different groupoids associated to a function
f:XNNX, where X is a uniform space. Thesegroupoids allow to study within a unified framework
theasymptotic behavior of thediscrete systems of the form xn+1 =
0 n,n f
(xn,,xn-1,…,
0 n x
) that do not necessarily
satisfy the semigroup property of a process. For these systems the groupoidsare associated with the functionsf
defined by f(x,n,n0) :=
0 n,n f
(xn-1,,xn-2,…,
0 n x
) with x=
0 |
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| ISSN: | 1844-640X 1844-640X |