Chaos in coupled clocks

Przemyslaw Perlikowski; Marcin Kapitaniak; Krzysztof  Czolczynski; Andrzej Stefanski; Tomasz Kapitaniak

doi:10.1142/S0218127412502884

Chaos in coupled clocks

Przemyslaw Perlikowski, Marcin Kapitaniak, Krzysztof Czolczynski, Andrzej Stefanski, Tomasz Kapitaniak

Lodz University of Technology

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

We consider the dynamics of two pendulum clocks (with pendulums of the same length but different masses) suspended on the same beam. We give evidence that besides the complete and phase synchronizations, the considered system can exhibit long period synchronization and chaotic behavior. We argue that the observed phenomena are robust.

Original language	English
Article number	1250288
Number of pages	6
Journal	International Journal of Bifurcation and Chaos
Volume	22
Issue number	12
DOIs	https://doi.org/10.1142/S0218127412502884
Publication status	Published - Dec 2012

Keywords

Huygens clocks
synchronization
chaos

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10.1142/S0218127412502884

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title = "Chaos in coupled clocks",

abstract = "We consider the dynamics of two pendulum clocks (with pendulums of the same length but different masses) suspended on the same beam. We give evidence that besides the complete and phase synchronizations, the considered system can exhibit long period synchronization and chaotic behavior. We argue that the observed phenomena are robust.",

keywords = "Huygens clocks, synchronization, chaos",

author = "Przemyslaw Perlikowski and Marcin Kapitaniak and Krzysztof Czolczynski and Andrzej Stefanski and Tomasz Kapitaniak",

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T1 - Chaos in coupled clocks

AU - Perlikowski, Przemyslaw

AU - Kapitaniak, Marcin

AU - Czolczynski, Krzysztof

AU - Stefanski, Andrzej

AU - Kapitaniak, Tomasz

PY - 2012/12

Y1 - 2012/12

N2 - We consider the dynamics of two pendulum clocks (with pendulums of the same length but different masses) suspended on the same beam. We give evidence that besides the complete and phase synchronizations, the considered system can exhibit long period synchronization and chaotic behavior. We argue that the observed phenomena are robust.

AB - We consider the dynamics of two pendulum clocks (with pendulums of the same length but different masses) suspended on the same beam. We give evidence that besides the complete and phase synchronizations, the considered system can exhibit long period synchronization and chaotic behavior. We argue that the observed phenomena are robust.

KW - Huygens clocks

KW - synchronization

KW - chaos

U2 - 10.1142/S0218127412502884

DO - 10.1142/S0218127412502884

M3 - Article

SN - 0218-1274

VL - 22

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 12

M1 - 1250288

ER -

Chaos in coupled clocks

Abstract

Keywords

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