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Journal of Difference Equations and Applications Volume 9, 2003 - Issue 3-4
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Original Articles

On the Center of Continuous Maps of Dendrites

L.S. Efremova Department of Mathematics, University of Nizhny Novgorod, Nizhny Novgorod, 603950, Russia
&
E.N. Makhrova Department of Mathematics, University of Nizhny Novgorod, Nizhny Novgorod, 603950, Russia
Pages 381-392 | Published online: 17 Sep 2010

Citations (22)

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Read on this site (3)

Hafedh Abdelli, Habib Marzougui & Amira Mchaalia. (2023) Recurrence and nonwandering sets of local dendrite maps. Journal of Difference Equations and Applications 29:9-12, pages 1323-1340.
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Guangwang Su, Taixiang Sun, Caihong Han & Bin Qin. (2020) Characteristic of pointwise-recurrent maps on a dendrite. Journal of Dynamical Systems and Geometric Theories 18:1, pages 1-14.
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Taixiang Sun, Chunyan Tao, Hongjian Xi & Bin Qin. (2014) Topological Limits and ω-Limit Sets of the Dendrite Maps. Journal of Dynamical Systems and Geometric Theories 12:2, pages 165-173.
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Articles from other publishers (19)

Guang Wang Su, Cai Hong Han, Tai Xiang Sun & Lue Li. (2022) The Depths and the Attracting Centres for Continuous Maps on a Dendrite Whose Rank is Finite. Acta Mathematica Sinica, English Series 38:9, pages 1643-1652.
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L. S. Efremova & E. N. Makhrova. (2021) One-dimensional dynamical systems. Russian Mathematical Surveys 76:5, pages 821-881.
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Людмила Сергеевна Ефремова, Lyudmila Sergeevna Efremova, Елена Николаевна Махрова & Elena Nikolaevna Makhrova. (2021) Одномерные динамические системыOne-dimensional dynamical systems. Успехи математических наук Uspekhi Matematicheskikh Nauk 76:5(461), pages 81-146.
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Guangwang Su, Taixiang Sun, Lue Li, Caihong Han & Guoen Xia. (2020) The centre and the depth of the centre for continuous maps on dendrites with unique branch point. Topology and its Applications 282, pages 107314.
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Taixiang Sun, Guangwang Su & Bin Qin. (2019) The depths of the centres and the attracting centres of a class of dendrite maps. Journal of Mathematical Analysis and Applications 479:1, pages 1158-1171.
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Tai Xiang Sun, Guang Wang Su, Hong Jian Xi & Xin Kong. (2017) Equicontinuity of maps on a dendrite with finite branch points. Acta Mathematica Sinica, English Series 33:8, pages 1125-1130.
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Tai Xiang Sun, Hong Jian Xi & Qiu Li He. (2016) Non-wandering sets of the powers of dendrite maps. Acta Mathematica Sinica, English Series 33:3, pages 449-454.
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Enhui Shi, Suhua Wang & Yan Di. (2017) Sensitivity of dendrite maps. Journal of Mathematical Analysis and Applications 446:1, pages 908-919.
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Taixiang Sun, Yalin Tang, Guangwang Su, Hongjian Xi & Bin Qin. (2017) Special $$\alpha $$ α -Limit Points and $$\gamma $$ γ -Limit Points of a Dendrite Map. Qualitative Theory of Dynamical Systems.
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Людмила Сергеевна Ефремова & Lyudmila Sergeevna Efremova. (2017) Динамика косых произведений отображений интервала. Успехи математических наук Uspekhi Matematicheskikh Nauk 72:1(433), pages 107-192.
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Taixiang Sun, Qiuli He, Jing Liu, Chunyan Tao & Hongjian Xi. (2014) Non-wandering Sets for Dendrite Maps. Qualitative Theory of Dynamical Systems 14:1, pages 101-108.
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Taixiang Sun, Zhanhe Chen, Xinhe Liu & Hongjian Xi. (2014) Equicontinuity of dendrite maps. Chaos, Solitons & Fractals 69, pages 10-13.
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Taixiang Sun, Qiuli He, Dongwei Su & Hongjian Xi. (2014) Dendrite maps whose every periodic point is a fixed point. Chaos, Solitons & Fractals 65, pages 62-64.
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Taixiang Sun, Qiuli He & Hongjian Xi. (2013) Intra-orbit separation of dense orbits of dendrite maps. Chaos, Solitons & Fractals 57, pages 89-92.
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SUHUA WANG, ENHUI SHI, YUJUN ZHU & BIN CHEN. (2013) AUSLANDER–YORKE CHAOS FOR GROUP ACTIONS ON DENDRITES. International Journal of Bifurcation and Chaos 23:06, pages 1350097.
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ISSAM NAGHMOUCHI. (2012) DYNAMICS OF MONOTONE GRAPH, DENDRITE AND DENDROID MAPS. International Journal of Bifurcation and Chaos 21:11, pages 3205-3215.
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F. BALIBREA, T. CARABALLO, P. E. KLOEDEN & J. VALERO. (2012) RECENT DEVELOPMENTS IN DYNAMICAL SYSTEMS: THREE PERSPECTIVES. International Journal of Bifurcation and Chaos 20:09, pages 2591-2636.
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SUHUA WANG, ENHUI SHI, LIZHEN ZHOU & XUNLI SU. (2011) TOPOLOGICAL TRANSITIVITY AND CHAOS OF GROUP ACTIONS ON DENDRITES. International Journal of Bifurcation and Chaos 19:12, pages 4165-4174.
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JIEHUA MAI & ENHUI SHI. (2011) $\overline{R} = \overline{P}$ FOR MAPS OF DENDRITES X WITH Card ( End (X)) < c . International Journal of Bifurcation and Chaos 19:04, pages 1391-1396.
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