Synchronization of homoclinic chaos

被引：118
作者：
Allaria, E
Arecchi, FT
Di Garbo, A
Meucci, R
机构：
[1] Ist Nazl Ottica Applicata, I-50125 Florence, Italy
[2] Univ Florence, Dept Phys, Florence, Italy
[3] CNR, Ist Biofis, Pisa, Italy
来源：
PHYSICAL REVIEW LETTERS | 2001年 / 86卷 / 05期
关键词：
D O I：
10.1103/PhysRevLett.86.791
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Homoclinic chaos is characterized by regular geometric orbits occurring at erratic times. Phase synchronization at the average repetition frequency is achieved by a tiny periodic modulation of a control parameter. An experiment has been carried on a CO2 laser with feedback. set in a parameter range where homoclinic chaos occurs. Any offset of the modulation frequency From the average induces phase slips over long times. Perfect phase synchronization is recovered by slow changes of the modulation frequency based upon the sign and amplitude of the slip rate. Satellite synchronization regimes are also realized, with variable numbers of homoclinic spikes per period of the modulation.
引用
收藏
页码：791 / 794
页数：4
相关论文
共 50 条
[21]   HOMOCLINIC CHAOS IN A LASER MATTER SYSTEM [J].
HOLM, DD ;
KOVACIC, G .
PHYSICA D, 1992, 56 (2-3) :270-300
[22]   SYMMETRY-BREAKING HOMOCLINIC CHAOS [J].
NICOLAENKO, B ;
SHE, ZS .
MEASURES OF COMPLEXITY AND CHAOS, 1989, 208 :303-307
[23]   Transforming subharmonic chaos to homoclinic chaos suitable for pattern recognition [J].
De Feo, O .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (10) :3345-3357
[24]   Homoclinic chaos and energy condition violation [J].
Heinzle, J. Mark ;
Roehr, Niklas ;
Uggla, Claes .
PHYSICAL REVIEW D, 2006, 74 (06)
[25]   Homoclinic chaos in a perennial grass model [J].
Coomes, B. A. ;
Kocak, H. ;
Palmer, K. J. .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2023, :1493-1517
[26]   HOMOCLINIC CHAOS IN CHEMICAL-SYSTEMS [J].
ARNEODO, A ;
ARGOUL, F ;
ELEZGARAY, J ;
RICHETTI, P .
PHYSICA D, 1993, 62 (1-4) :134-169
[27]   MULTIPLICATIVE NOISE AND HOMOCLINIC CROSSING - CHAOS [J].
SCHIEVE, WC ;
BULSARA, AR .
PHYSICAL REVIEW A, 1990, 41 (02) :1172-1174
[28]   Homoclinic chaos in a forced hydromagnetic cavity [J].
Nocera, L ;
Bologna, M ;
Califano, F .
GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 1997, 86 (1-2) :131-148
[29]   Homoclinic chaos in a model of natural selection [J].
Charter, K ;
Rogers, T .
JOURNAL OF MATHEMATICAL BIOLOGY, 1997, 35 (03) :294-320
[30]   Signatures of homoclinic motion in quantum chaos [J].
Wisniacki, DA ;
Vergini, E ;
Benito, RM ;
Borondo, F .
PHYSICAL REVIEW LETTERS, 2005, 94 (05)
12345