Why two clocks synchronize: Energy balance of the synchronized clocks

DOI10.1063/1.3602225zbMath1317.34052OpenAlexW2088341029WikidataQ84486883 ScholiaQ84486883MaRDI QIDQ5264538

Andrzej Stefanski, Tomasz Kapitaniak, Przemyslaw Perlikowski, Krzysztof Czołczyński

Publication date: 27 July 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8f08f863b52a8ce2837e97dac6968da4df014f8b

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (13)

Mixed Synchronization in the Presence of Cyclic Chaos ⋮ CHAOS IN COUPLED CLOCKS ⋮ Synchronous states of slowly rotating pendula ⋮ Anti-phase synchronization of two coupled mechanical metronomes ⋮ Traveling amplitude death in coupled pendula ⋮ Enforcing synchronization in oscillators with Huygens' coupling via feed-forward control ⋮ Synchronization configurations of two coupled double pendula ⋮ Multistability and basin stability in coupled pendulum clocks ⋮ Traveling chimera states for coupled pendula ⋮ Synchronization of asymmetrically coupled systems ⋮ Multi-headed loop chimera states in coupled oscillators ⋮ Synchronization of clocks and metronomes: A perturbation analysis based on multiple timescales ⋮ Huygens (and others) revisited

Cites Work

• Estimation of the dominant Lyapunov exponent of non-smooth systems on the basis of maps synchronization.
• Clustering of Huygens' Clocks
• Limit cycle analysis of the verge and foliot clock escapement using impulsive differential equations and Poincaré maps
• Huygens's clocks
• Antiphase and in-phase synchronization of nonlinear oscillators: The Huygens’s clocks system
• Coexisting chaotic and periodic dynamics in clock escapements

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