Effects of time delay in the synchronized motion of oscillators with Huygens’ coupling

Ramirez, J. Peña; Aguirre, Andrés; Fey, Rhb Rob; Nijmeijer, Henk

doi:10.3182/20120620-3-mx-3012.00028

Cited by 4 publications

(3 citation statements)

References 12 publications

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“…Substituting (16)∼ (19) into (15), the energy balance of the oscillating body in -direction can be written as follows:…”

Section: Energy Balance Of the Systemmentioning

confidence: 99%

“…Kapitaniak et al explored synchronous states of slowly rotating pendula considering the oscillating beam moving in a single DOF [16,17]. Pena-Ramírez concerned the synchronized motion of Huygens' model building on the original work of Blekhman [18,19]. Yurchenko et al described synchronization of rotating parametric pendulums combining stochastic calculus [20].…”

Section: Introductionmentioning

confidence: 99%

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Synchronization and Stability of Two Unbalanced Rotors with Fast Antirotation considering Energy Balance

Hou

Fang

2015

Mathematical Problems in Engineering

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We consider synchronization and stability of two unbalanced rotors reversely and fast excited by induction motors fixed on an oscillating body. We explore the energy balance of the system and show how the energy is transferred between the rotors via the oscillating body allowing the implementation of the synchronization of the two rotors. An approximate analytical analysis, energy balance method, allows deriving the synchronization condition, and the stability criterion of the synchronization is deduce by disturbance differential equations. Later, to prove the correctness of the theoretical analysis, many features of the vibrating system are computed and discussed by computer simulations. The proposed method may be useful for analyzing and understanding the mechanism of synchronization, stability, and energy balance of similar fast rotation rotors excited by induction motors in vibrating systems.

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“…Substituting (16)∼ (19) into (15), the energy balance of the oscillating body in -direction can be written as follows:…”

Section: Energy Balance Of the Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Synchronization and Stability of Two Unbalanced Rotors with Fast Antirotation considering Energy Balance

Hou

Fang

2015

Mathematical Problems in Engineering

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“…As highlighted in [35], natural oscillatory processes tend to follow a multi-scale organisation, with macro-scale frequencies affecting micro-scale behaviour. In most oscillators, communication and adaptation are not instantaneous [39] [16]. E.g., biological systems require a minimum interval to transmit information [7].…”

Section: B Coupled Oscillatorsmentioning

confidence: 99%

Timing Configurations Affect the Macro-Properties of Multi-Scale Feedback Systems

Mellodge¹,

Diaconescu²,

Felice³

2021

Preprint

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Multi-scale feedback systems, where information cycles through micro-and macro-scales leading to adaptation, are ubiquitous across domains, from animal societies and human organisations to electric grids and neural networks. Studies on the effects of timing on system properties are often domain specific. The Multi-Scale Abstraction Feedbacks (MSAF) design pattern aims to generalise the description and understanding of multiscale systems where feedback occurs across scales. We expand on MSAF to include timing considerations. We then apply these considerations to two models: a hierarchical oscillator (HO) and a hierarchical cellular automata (HCA). Results show how (i) different timing configurations significantly affect system macroproperties and (ii) different regions of time configurations can lead to the same macro-properties. These results contribute to theory, while also providing useful insights for designing and controlling such systems.

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Timing configurations affect the macro-properties of multi-scale feedback systems

Mellodge

Diaconescu

Felice

2021

2021 IEEE International Conference on Autonomic Computing and Self-Organizing Systems (ACSOS)

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Effects of time delay in the synchronized motion of oscillators with Huygens’ coupling

Cited by 4 publications

References 12 publications

Synchronization and Stability of Two Unbalanced Rotors with Fast Antirotation considering Energy Balance

Synchronization and Stability of Two Unbalanced Rotors with Fast Antirotation considering Energy Balance

Timing Configurations Affect the Macro-Properties of Multi-Scale Feedback Systems

Timing configurations affect the macro-properties of multi-scale feedback systems

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