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Volume 37 (2024)

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Far East Journal of Dynamical Systems

for a triangular map given by Kolyada [Ergodic Theory and Dynamical Systems 12 (1992), 749-768]. We prove for such a map the following uniform property:

All points of

except those of the fiber

which are fixed points, have as infinity w-limit set the fiber

Far East Journal of Dynamical Systems
Volume 3, Issue 1, Pages 87 - 101 (June 2001)

DESCRIPTION OF w-LIMIT SETS OF A TRIANGULAR MAP ON
Francisco Balibrea (Spain), J. L. García Guirao (Spain) and J. I. Muñoz Casado (Spain)

Abstract:
In this paper, we describe the w-limit sets of all points in

for a triangular map given by Kolyada [Ergodic Theory and Dynamical Systems 12 (1992), 749-768]. We prove for such a map the following uniform property:

All points of

except those of the fiber

which are fixed points, have as infinity w-limit set the fiber

Keywords and phrases: triangular map, w-limit set.

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