Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: Theory versus experiment

被引：42

作者：

Semenov, Vladimir ^{[1
]}

Feoktistov, Alexey ^{[1
]}

Vadivasova, Tatyana ^{[1
]}

Schoell, Eckehard ^{[2
]}

Zakharova, Anna ^{[2
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Dept Phys, Saratov 410012, Russia

[2] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany

来源：

CHAOS | 2015年 / 25卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

EXCITABLE SYSTEMS; NOISE; SYNCHRONIZATION; OSCILLATIONS;

D O I：

10.1063/1.4915066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the model of a generalized Van der Pol oscillator in the regime of subcritical Hopf bifurcation, we investigate the influence of time delay on noise-induced oscillations. It is shown that for appropriate choices of time delay, either suppression or enhancement of coherence resonance can be achieved. Analytical calculations are combined with numerical simulations and experiments on an electronic circuit. (C) 2015 AIP Publishing LLC.

引用

页数：6

共 33 条

[1] Synchronization of multi-frequency noise-induced oscillations [J].

Astakhov, Sergey ;

Feoktistov, Alexey ;

Anishchenko, Vadim S. ;

Kurths, Juergen .

CHAOS, 2011, 21 (04)

[2] Delay control of coherence resonance in type-I excitable dynamics [J].

Aust, R. ;

Hoevel, P. ;

Hizanidis, J. ;

Schoell, E. .

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2010, 187 (01) :77-85

[3] Experimental deterministic coherence resonance [J].

Avila, JFM ;

Cavalcante, HLDS ;

Leite, JRR .

PHYSICAL REVIEW LETTERS, 2004, 93 (14) :144101-1

[4] Coupling and feedback effects in excitable systems: Anticipated synchronization [J].

Ciszak, M ;

Toral, R ;

Mirasso, C .

MODERN PHYSICS LETTERS B, 2004, 18 (23) :1135-1155

[5] Anticipating the response of excitable systems driven by random forcing [J].

Ciszak, M ;

Calvo, O ;

Masoller, C ;

Mirasso, CR ;

Toral, R .

PHYSICAL REVIEW LETTERS, 2003, 90 (20) :4-204102

[6] Coherent Resonance in Klystron Oscillator at Self-Excitation Threshold [J].

Dmitriev, B. S. ;

Zharkov, Yu. D. ;

Sadovnikov, S. A. ;

Skorokhodov, V. N. ;

Stepanov, A. O. .

TECHNICAL PHYSICS LETTERS, 2011, 37 (11) :1082-1085

[7]

[Феоктистов Алексей Владимирович Feoktistov Alexey V.], 2012, [Нелинейная динамика, Russian Journal of Nonlinear Dynamics, Nelineinaya dinamika], V8, P897

[8] Dynamics, control and information in delay-coupled systems: an overview Introduction [J].

Flunkert, Valentin ;

Fischer, Ingo ;

Schoell, Eckehard .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2013, 371 (1999)

[9]

GANG H, 1993, PHYS REV LETT, V71, P807, DOI 10.1103/PhysRevLett.71.807

[10] Bifurcation threshold of the delayed van der Pol oscillator under stochastic modulation [J].

Gaudreault, Mathieu ;

Drolet, Francois ;

Vinals, Jorge .

PHYSICAL REVIEW E, 2012, 85 (05)

← 1 2 3 4 →