Lag synchronization and scaling of chaotic attractor in coupled system

被引：19

作者：

Bhowmick, Sourav K. ^{[1
]}

Pal, Pinaki ^{[2
]}

Roy, Prodyot K. ^{[3
]}

Dana, Syamal K. ^{[1
]}

机构：

[1] CSIR Indian Inst Chem Biol, Kolkata 700032, India

[2] Natl Inst Technol, Dept Math, Durgapur 713209, India

[3] Presidency Univ, Dept Phys, Kolkata 700073, India

来源：

CHAOS | 2012年 / 22卷 / 02期

关键词：

TIME-DELAY; MODEL;

D O I：

10.1063/1.4731263

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We report a design of delay coupling for lag synchronization in two unidirectionally coupled chaotic oscillators. A delay term is introduced in the definition of the coupling to target any desired lag between the driver and the response. The stability of the lag synchronization is ensured by using the Hurwitz matrix stability. We are able to scale up or down the size of a driver attractor at a response system in presence of a lag. This allows compensating the attenuation of the amplitude of a signal during transmission through a delay line. The delay coupling is illustrated with numerical examples of 3D systems, the Hindmarsh-Rose neuron model, the Rossler system, a Sprott system, and a 4D system. We implemented the coupling in electronic circuit to realize any desired lag synchronization in chaotic oscillators and scaling of attractors. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4731263]

引用

页数：8

共 30 条

[1] Anticipatory synchronization with variable time delay and reset [J].

Ambika, G. ;

Amritkar, R. E. .

PHYSICAL REVIEW E, 2009, 79 (05)

[2]

[Anonymous], WORLD ACAD SCI ENG T

[3]

[Anonymous], SYNCHRONIZATION CONC

[4]

Banerjee R, 2009, L N INST COMP SCI SO, V4, P1072

[5] Time shifts and correlations in synchronized chaos [J].

Blakely, Jonathan N. ;

Pruitt, Matthew W. ;

Corron, Ned J. .

CHAOS, 2008, 18 (01)

[6] The synchronization of chaotic systems [J].

Boccaletti, S ;

Kurths, J ;

Osipov, G ;

Valladares, DL ;

Zhou, CS .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2) :1-101

[7]

Cimponeriu L, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.046213

[8] Lag and anticipating synchronization without time-delay coupling [J].

Corron, NJ ;

Blakely, JN ;

Pethel, SD .

CHAOS, 2005, 15 (02)

[9]

Corron NJ, 2004, AIP CONF PROC, V742, P45, DOI 10.1063/1.1846458

[10]

Dorf R.C., 2001, Modern Control Systems, V9th

← 1 2 3 →