Some remarks on topological horseshoes and applications

被引：2

作者：

Cian, Giuseppe ^{[1
]}

机构：

[1] Univ Udine, Dept Math & Comp Sci, I-33100 Udine, Italy

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2014年 / 16卷

关键词：

PREY-PREDATOR MODEL; HOLLING TYPE-II; FUNCTIONAL-RESPONSE; CHAOTIC DYNAMICS;

D O I：

10.1016/j.nonrwa.2013.09.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An investigation on topological methods proving chaotic dynamics is presented: the relationships between Kennedy, Kocak and Yorke's "chaos lemma" and Medio, Pireddu and Zanolin's "stretching along the paths" put in evidence a double way to prove that a discrete dynamical system is chaotic according to Block and Coppel's definition of chaos. Particular relevance is given to non-injective discrete systems, such as Lotka-Volterra with Holling Type II, since they are strongly involved in semi-conjugacy. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：74 / 89

页数：16

共 50 条

[1] Topological horseshoes
Kennedy, J
Yorke, JA
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 353 (06) : 2513 - 2530
[2] Some remarks on topological phases and topological insulators
Asorey, Manuel
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2016, 13
[3] Topological horseshoes in continuous maps
Yang, Xiao-Song
[J]. CHAOS SOLITONS & FRACTALS, 2007, 33 (01) : 225 - 233
[4] TOPOLOGICAL HORSESHOES FOR SURFACE HOMEOMORPHISMS
Le Calvez, Patrice
Tal, Fabio
[J]. DUKE MATHEMATICAL JOURNAL, 2022, 171 (12) : 2519 - 2626
[5] Some remarks on functoriality of Colombeau's construction; Topological and microlocal aspects and applications
Scarpalezos, D
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 1998, 6 (1-4) : 295 - 307
[6] Some remarks on topological fluid mechanics
Moffatt, HK
[J]. INTRODUCTION TO THE GEOMETRY AND TOPOLOGY OF FLUID FLOWS, 2001, 47 : 3 - 10
[7] Some remarks on chaos in topological dynamics
Wang, Huoyung
Fu, Heman
[J]. APPLIED GENERAL TOPOLOGY, 2011, 12 (02): : 95 - 100
[8] A SIMPLE METHOD FOR FINDING TOPOLOGICAL HORSESHOES
Li, Qingdu
Yang, Xiao-Song
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2010, 20 (02): : 467 - 478
[9] Topological horseshoes and delay differential equations
Wójcik, K
Zgliczynski, P
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2005, 12 (05) : 827 - 852
[10] SOME REMARKS ON CLOSURE OPERATOR IN TOPOLOGICAL SPACES
LEVINE, N
[J]. AMERICAN MATHEMATICAL MONTHLY, 1963, 70 (05): : 553 - &

← 1 2 3 4 5 →