Globally coupled logistic maps as dynamical glasses

被引：21
作者：
Manrubia, SC
Mikhailov, AS
机构：
[1] Max Planck Gesell, Fritz Haber Inst, D-14195 Berlin, Germany
[2] MPI Colloids & Interfaces, Div Theory, D-14424 Potsdam, Germany
来源：
EUROPHYSICS LETTERS | 2001年 / 53卷 / 04期
关键词：
D O I：
10.1209/epl/i2001-00262-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We compute distributions of overlaps between replicas and discuss replica symmetry breaking in large dynamical system formed by globally coupled logistic maps under partial synchronization conditions. By computing nd analyzing three-replica overlap distributions, the ultrametric hierarchical organization of attractors in this system is tested.
引用
收藏
页码：451 / 457
页数：7
相关论文
共 50 条
[31]   Heterogeneous globally coupled chaotic maps systems [J].
Lopez, Argenis ;
Alvarez-Llamoza, Orlando .
INGENIERIA UC, 2019, 26 (03) :286-296
[32]   Globally coupled chaotic maps with constant force [J].
Li Jing-Hui .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 49 (03) :665-668
[33]   Globally Coupled Chaotic Maps with Constant Force [J].
LI JingHui Faculty of SciencePOBox Ningbo UniversityNingbo China CCAST World LaboratoryPOBox Beijing China .
CommunicationsinTheoreticalPhysics, 2008, 49 (03) :665-668
[34]   ORDER IN THE TURBULENT PHASE OF GLOBALLY COUPLED MAPS [J].
PEREZ, G ;
SINHA, S ;
CERDEIRA, HA .
PHYSICA D, 1993, 63 (3-4) :341-349
[35]   Loss of coherence in a system of globally coupled maps [J].
Popovych, O. ;
Maistrenko, Yu. ;
Mosekilde, E. .
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2001, 64 (2 II) :262051-262051
[36]   COLLECTIVE BEHAVIOR IN ENSEMBLES OF GLOBALLY COUPLED MAPS [J].
PIKOVSKY, AS ;
KURTHS, J .
PHYSICA D, 1994, 76 (04) :411-419
[37]   Globally coupled chaotic maps and demographic stochasticity [J].
Kessler, David A. ;
Shnerb, Nadav M. .
PHYSICAL REVIEW E, 2010, 81 (03)
[38]   Synchronized family dynamics in globally coupled maps [J].
Balmforth, NJ ;
Jacobson, A ;
Provenzale, A .
CHAOS, 1999, 9 (03) :738-754
[39]   Cluster periodic solutions in globally coupled maps [J].
Afraimovich, VS ;
Gelover-Santiago, AL ;
Lima, R .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (07) :1929-1936
[40]   Delay-induced synchronization phenomena in an array of globally coupled logistic maps -: art. no. 056219 [J].
Martí, AC ;
Masoller, C .
PHYSICAL REVIEW E, 2003, 67 (05) :6
12345