Two Van der Pol-Duffing Oscillators with Huygens Coupling

V.N. Belykh; E. Pankratova; A.Y. Pogromsky

doi:10.1142/9789814282321_0012

Two Van der Pol-Duffing Oscillators with Huygens Coupling

V.N. Belykh
, E. Pankratova
, A.Y. Pogromsky

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

6 Citations (Scopus)

Abstract

We consider a system of two Van der Pol-Duffing oscillators with Huygens (speeding up) coupling. This system serves as appropriate model for Huygens synchronization of two mechanical clocks hanging from a common support. We examine the main regimes of complete and phase synchronization, and study the dependence of their onset on the initial conditions. In particular, we reveal co-existence of two chaotic phase synchronized modes and study the structure of their complicated riddled basins.

Original language	English
Title of host publication	Dynamics and Control of Hybrid Mechanical Systems
Editors	Gennady Leonov, Henk Nijmeijer, Alexander Pogromsky, Alexander Fradkov
Place of Publication	Singapore
Publisher	World Scientific
Pages	181-194
Number of pages	14
ISBN (Electronic)	9789814282321
ISBN (Print)	9789814282314
DOIs	https://doi.org/10.1142/9789814282321_0012
Publication status	Published - Jan 2010

Publication series

Name	World Scientific Series on Nonlinear Science Series B
Volume	14
ISSN (Print)	1793-1029

Bibliographical note

Publisher Copyright:
© 2010 by World Scientific Publishing Co. Pte. Ltd.

Access to Document

10.1142/9789814282321_0012

Cite this

Belykh, V. N., Pankratova, E., & Pogromsky, A. Y. (2010). Two Van der Pol-Duffing Oscillators with Huygens Coupling. In G. Leonov, H. Nijmeijer, A. Pogromsky, & A. Fradkov (Eds.), Dynamics and Control of Hybrid Mechanical Systems (pp. 181-194). (World Scientific Series on Nonlinear Science Series B; Vol. 14). World Scientific. https://doi.org/10.1142/9789814282321_0012

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abstract = "We consider a system of two Van der Pol-Duffing oscillators with Huygens (speeding up) coupling. This system serves as appropriate model for Huygens synchronization of two mechanical clocks hanging from a common support. We examine the main regimes of complete and phase synchronization, and study the dependence of their onset on the initial conditions. In particular, we reveal co-existence of two chaotic phase synchronized modes and study the structure of their complicated riddled basins.",

author = "V.N. Belykh and E. Pankratova and A.Y. Pogromsky",

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language = "English",

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Two Van der Pol-Duffing Oscillators with Huygens Coupling. / Belykh, V.N.; Pankratova, E.; Pogromsky, A.Y.
Dynamics and Control of Hybrid Mechanical Systems. ed. / Gennady Leonov; Henk Nijmeijer; Alexander Pogromsky; Alexander Fradkov. Singapore: World Scientific, 2010. p. 181-194 (World Scientific Series on Nonlinear Science Series B; Vol. 14).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

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AU - Pogromsky, A.Y.

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AB - We consider a system of two Van der Pol-Duffing oscillators with Huygens (speeding up) coupling. This system serves as appropriate model for Huygens synchronization of two mechanical clocks hanging from a common support. We examine the main regimes of complete and phase synchronization, and study the dependence of their onset on the initial conditions. In particular, we reveal co-existence of two chaotic phase synchronized modes and study the structure of their complicated riddled basins.

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T3 - World Scientific Series on Nonlinear Science Series B

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EP - 194

BT - Dynamics and Control of Hybrid Mechanical Systems

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A2 - Fradkov, Alexander

PB - World Scientific

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ER -

Two Van der Pol-Duffing Oscillators with Huygens Coupling

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