Global dynamics of a harmonically excited oscillator with a play : Numerical studies

This work was supported by the National Secretariat of Science, Technology and Innovation of Ecuador (SENESCYT); the Escuela Superior Politécnica del Litoral of Ecuador (ESPOL); the National Natural Science Foundation of China (11272268, 11572263) and Scholarship of China. A.S.E. Chong and Y. Yue acknowledge the hospitality of the Centre of Applied Dynamics Research at the University of Aberdeen.Peer reviewedPostprin

Attractor reconstruction of an impact oscillator for parameter identification

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Marching bifurcations

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Double grazing bifurcation route in a quasiperiodically driven piecewise linear oscillator

ACKNOWLEDGMENTS: This work is supported by the National Natural Science Foundation of China (NSFC) (Nos. 12072291, 11732014, and 12172306). Publisher Copyright: © 2023 Author(s). Published under an exclusive license by AIP Publishing.Peer reviewedPostprin

Discontinuity Induced Bifurcations in a Model of Saccharomyces cerevisiae

We perform a bifurcation analysis of the mathematical model of Jones and Kompala [K.D. Jones and D.S. Kompala, Cybernetic model of the growth dynamics of Saccharomyces cerevisiae in batch and continuous cultures, J. Biotech., 71:105-131, 1999]. Stable oscillations arise via Andronov-Hopf bifurcations and exist for intermediate values of the dilution rate as has been noted from experiments previously. A variety of discontinuity induced bifurcations arise from a lack of global differentiability. We identify and classify discontinuous bifurcations including several codimension-two scenarios. Bifurcation diagrams are explained by a general unfolding of these singularities.Comment: 23 pages, 7 figure

Chaos in Impact Oscillators not in Vain : Dynamics of New Mass Excited Oscillator

Open Access via the Springer Compact Agreement A part of this project was funded by Coordenação de Aperfeiçoamento do Pessoal de Nivel Superior (CAPES) under the grant number 88881.189487/2018-01.Peer reviewedPublisher PD