From synchronization to multistability in two coupled quadratic maps

被引：19
作者：
Carvalho, R
Fernandez, B
Mendes, RV
机构：
[1] Univ Lisbon, Grp Fis Matemat, P-1699 Lisbon, Portugal
[2] Inst Super Tecn, DEEC, Lab Mecatron, P-1096 Lisbon, Portugal
来源：
PHYSICS LETTERS A | 2001年 / 285卷 / 5-6期
关键词：
D O I：
10.1016/S0375-9601(01)00370-X
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The phenomenology of a system of two coupled quadratic maps is studied both analytically and numerically. Conditions for synchronization are given and the bifurcations of periodic orbits from this regime are identified. In addition, we show that an arbitrarily large number of distinct stable periodic orbits may be obtained when the maps parameter is at the Feigenbaum period-doubling accumulation point. An estimate is given for the coupling strength needed to obtain any given number of stable orbits. (C) 2001 Elsevier Science B.V. All rights reserved.
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收藏
页码：327 / 338
页数：12
相关论文
共 44 条
[1]  
AMRITKAR RE, 1994, PHYS REV E, V49, P2617
[2]  
ARAUJO V, IN PRESS ANN I H POI
[3]  
ARAUJO V, 199921 U PORT
[4]  
BOHR H, 1997, THRESHOLD NOISE SOUR
[5]   TRANSVERSE LASER PATTERNS .2. VARIATIONAL PRINCIPLE FOR PATTERN SELECTION, SPATIAL MULTISTABILITY, AND LASER HYDRODYNAMICS [J].
BRAMBILLA, M ;
LUGIATO, LA ;
PENNA, V ;
PRATI, F ;
TAMM, C ;
WEISS, CO .
PHYSICAL REVIEW A, 1991, 43 (09) :5114-5120
[6]   Feigenbaum networks [J].
Carvalho, R ;
Mendes, RV ;
Seixas, J .
PHYSICA D-NONLINEAR PHENOMENA, 1999, 126 (1-2) :27-37
[7]   Infinitely many coexisting strange attractors [J].
Colli, E .
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1998, 15 (05) :539-579
[8]   A fully connected network of Bernoulli units with correlation learning [J].
Dente, JA ;
Mendes, RV .
PHYSICS LETTERS A, 1996, 211 (02) :87-93
[9]   DEFORMATION OF HAMILTONIAN-DYNAMICS AND CONSTANTS OF MOTION IN DISSIPATIVE SYSTEMS [J].
DUARTE, JT ;
MENDES, RV .
JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (07) :1772-1778
[10]   Map with more than 100 coexisting low-period periodic attractors [J].
Feudel, U ;
Grebogi, C ;
Hunt, BR ;
Yorke, JA .
PHYSICAL REVIEW E, 1996, 54 (01) :71-81
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