Synchronization-based approach for estimating all model parameters of chaotic systems

被引：85

作者：

Konnur, R ^{[1
]}

机构：

[1] Tata Res Dev & Design Ctr, Pune 411013, Maharashtra, India

来源：

PHYSICAL REVIEW E | 2003年 / 67卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.67.027204

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The problem of dynamic estimation of all parameters of a model representing chaotic and hyperchaotic systems using information from a scalar measured output is solved. The variational calculus based method is robust in the presence of noise, enables online estimation of the parameters and is also able to rapidly track changes in operating parameters of the experimental system. The method is demonstrated using the Lorenz, Rossler chaos, and hyperchaos models. Its possible application in decoding communications using chaos is discussed.

引用

页数：4

共 11 条

[1] Synchronization of chaotic systems: Transverse stability of trajectories in invariant manifolds [J].

Brown, R ;

Rulkov, NF .

CHAOS, 1997, 7 (03) :395-413

[2] Designing a coupling that guarantees synchronization between identical chaotic systems [J].

Brown, R ;

Rulkov, NF .

PHYSICAL REVIEW LETTERS, 1997, 78 (22) :4189-4192

[3] CIRCUIT IMPLEMENTATION OF SYNCHRONIZED CHAOS WITH APPLICATIONS TO COMMUNICATIONS [J].

CUOMO, KM ;

OPPENHEIM, AV .

PHYSICAL REVIEW LETTERS, 1993, 71 (01) :65-68

[4] Intermittent loss of synchronization in coupled chaotic oscillators: Toward a new criterion for high-quality synchronization [J].

Gauthier, DJ ;

Bienfang, JC .

PHYSICAL REVIEW LETTERS, 1996, 77 (09) :1751-1754

[5] GENERAL-APPROACH FOR CHAOTIC SYNCHRONIZATION WITH APPLICATIONS TO COMMUNICATION [J].

KOCAREV, L ;

PARLITZ, U .

PHYSICAL REVIEW LETTERS, 1995, 74 (25) :5028-5031

[6] Equivalence of synchronization and control of chaotic systems [J].

Konnur, R .

PHYSICAL REVIEW LETTERS, 1996, 77 (14) :2937-2940

[7] Use of synchronization and adaptive control in parameter estimation from a time series [J].

Maybhate, A ;

Amritkar, RE .

PHYSICAL REVIEW E, 1999, 59 (01) :284-293

[8] Estimating model parameters from time series by autosynchronization [J].

Parlitz, U .

PHYSICAL REVIEW LETTERS, 1996, 76 (08) :1232-1235

[9] Synchronization-based parameter estimation from time series [J].

Parlitz, U ;

Junge, L ;

Kocarev, L .

PHYSICAL REVIEW E, 1996, 54 (06) :6253-6259

[10] SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].

PECORA, LM ;

CARROLL, TL .

PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824

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