International Journal of Bifurcation and Chaos

Journal Information
ISSN / EISSN : 0218-1274 / 1793-6551
Published by: World Scientific Pub Co Pte Lt (10.1142)
Total articles ≅ 7,165
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Latest articles in this journal

Shaun Smith, , , Sean Biggs
International Journal of Bifurcation and Chaos, Volume 31; https://doi.org/10.1142/s0218127421502552

Abstract:
Creep groan is the undesirable vibration observed in the brake pad and disc as brakes are applied during low-speed driving. The presence of friction leads to nonlinear behavior even in simple models of this phenomenon. This paper uses tools from bifurcation theory to investigate creep groan behavior in a nonlinear 3-degrees-of-freedom mathematical model. Three areas of operational interest are identified, replicating results from previous studies: region 1 contains repelling equilibria and attracting periodic orbits (creep groan); region 2 contains both attracting equilibria and periodic orbits (creep groan and no creep groan, depending on initial conditions); region 3 contains attracting equilibria (no creep groan). The influence of several friction model parameters on these regions is presented, which identify that the transition between static and dynamic friction regimes has a large influence on the existence of creep groan. Additional investigations discover the presence of several bifurcations previously unknown to exist in this model, including Hopf, torus and period-doubling bifurcations. This insight provides valuable novel information about the nature of creep groan and indicates that complex behavior can be discovered and explored in relatively simple models.
Zhongyuan Zhao, Yongping Zhang
International Journal of Bifurcation and Chaos, Volume 31; https://doi.org/10.1142/s021812742150245x

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Gabriele Paolini, Francesco Sarnari, Riccardo Meucci, Stefano Euzzor, Jean-Mark Ginoux, Santi Chillemi, Leone Fronzoni, Fortunato Tito Arecchi, Angelo Di Garbo
International Journal of Bifurcation and Chaos, Volume 31; https://doi.org/10.1142/s0218127421502394

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Shengping Huang, Jianhua Yang, Huayu Liu, Miguel A. F. Sanjuán
International Journal of Bifurcation and Chaos, Volume 31; https://doi.org/10.1142/s0218127421502461

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Haoyu Li, Leimin Wang, Qiang Lai
International Journal of Bifurcation and Chaos, Volume 31; https://doi.org/10.1142/s0218127421502515

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Dan Sun, Linping Peng
International Journal of Bifurcation and Chaos, Volume 31; https://doi.org/10.1142/s0218127421502503

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