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Peloton phase oscillations

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  • Trenchard, Hugh

Abstract

A peloton may be defined as two or more cyclists riding in sufficiently close proximity to be located either in one of two basic positions: (1) behind cyclists in zones of reduced air pressure, referred to as ‘drafting’, or (2) in non-drafting positions where air pressure is highest. Cyclists in drafting zones expend less energy than in front positions. Qualitative observations of pelotons indicate oscillations between two primary phases. The first is a high density, low speed/power output phase. The second is a synchronized, low density, high speed or power output phase. Pelotons are observed to oscillate between phases, and mixed phases occur. Principles determining the first phase are coupling due to the energy savings of drafting, collision avoidance, and continuous passing. Principles determining the synchronized phase are similar, except that minimal passing is observed in this phase as cyclists approach maximum sustainable outputs. Phases self-organize as cyclists proceed through output thresholds, while strategic and tactical considerations are secondary. A computational simulation with an algorithm combining a coupling ratio, passing time, and constraints on angles of alignment, separation and cohesion (flocking rules), demonstrates phase oscillations.

Suggested Citation

  • Trenchard, Hugh, 2013. "Peloton phase oscillations," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 194-201.
    • Handle: RePEc:eee:chsofr:v:56:y:2013:i:c:p:194-201
    DOI: 10.1016/j.chaos.2013.08.004
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    1. Henri Weimerskirch & Julien Martin & Yannick Clerquin & Peggy Alexandre & Sarka Jiraskova, 2001. "Energy saving in flight formation," Nature, Nature, vol. 413(6857), pages 697-698, October.
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    Cited by:

    1. Trenchard, Hugh & Richardson, Ashlin & Ratamero, Erick & Perc, Matjaž, 2014. "Collective behavior and the identification of phases in bicycle pelotons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 92-103.
    2. Fister, Iztok & Ljubič, Karin & Suganthan, Ponnuthurai Nagaratnam & Perc, Matjaž & Fister, Iztok, 2015. "Computational intelligence in sports: Challenges and opportunities within a new research domain," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 178-186.
    3. Trenchard, Hugh & Ratamero, Erick & Richardson, Ashlin & Perc, Matjaž, 2015. "A deceleration model for bicycle peloton dynamics and group sorting," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 24-34.

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