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Infinite dimensional Krawczyk operator for finding periodic orbits of discrete dynamical systems. (English) Zbl 1148.37041

MSC:
37M99 Approximation methods and numerical treatment of dynamical systems
34C25 Periodic solutions to ordinary differential equations
37C27 Periodic orbits of vector fields and flows
65G30 Interval and finite arithmetic
37N25 Dynamical systems in biology
92D25 Population dynamics (general)
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References:
[1] Cesari L., Mich. Math. Jour. 11 pp 383–
[2] DOI: 10.1137/030600210 · Zbl 1059.37068
[3] DOI: 10.1142/S0218127401003516 · Zbl 1091.65511
[4] DOI: 10.1088/0951-7715/15/6/304 · Zbl 1015.37012
[5] Galias Z., Int. J. Bifurcation and Chaos 16 pp 1– · Zbl 1009.37027
[6] DOI: 10.1016/0025-5564(86)90069-6 · Zbl 0595.92011
[7] Moore R., Interval Analysis (1966) · Zbl 0176.13301
[8] Neumaier A., Interval Methods for Systems of Equations (1990) · Zbl 0715.65030
[9] DOI: 10.1137/S0036142996304498 · Zbl 0972.65084
[10] DOI: 10.1007/s002080010010
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.