Results 11 to 20 of about 2,370,896 (311)
THE FOLD-FLIP BIFURCATION [PDF]
International Journal of Bifurcation and Chaos, 2004 The fold-flip bifurcation occurs if a map has a fixed point with multipliers +1 and -1 simultaneously. In this paper the normal form of this singularity is calculated explicitly. Both local and global bifurcations of the unfolding are analyzed by exploring a close relationship between the derived normal form and the truncated amplitude system for the ...
Yuri A. Kuznetsov +2 more
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Parametric optimization of fold bifurcation points
, 2023 The aim of this work is to optimize the parameters of a mechanical system in order to force fold bifurcation points to appear at targeted frequencies. To this end, an original harmonic balance-based optimization procedure is developed. Functions similar to those employed during bifurcation tracking analyses are used to characterize fold bifurcations in
Mélot, Adrien +2 more
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Non-degenerate umbilics, the path formulation and gradient bifurcation problems [PDF]
, 2004 Parametrised contact-equivalence is successful for the understanding and classification of the qualitative local behaviour of bifurcation diagrams and their perturbations. Path formulation is an alternative point of view.
Sitta, AM, Furter, JE
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Bursting Oscillations in General Coupled Systems: A Review
Mathematics, 2023 In this paper, the bursting oscillation phenomenon in coupled systems with two time scales is introduced. Firstly, several types of bifurcation are briefly introduced: fold bifurcation, Hopf bifurcation, fold limit cycle bifurcation, homoclinic ...
Danjin Zhang, Youhua Qian
doaj +1 more source
Bifurkasi Pada Model Penyebaran Penyakit MERS-CoV di Dua Wilayah dengan Populasi Konstan
Jambura Journal of Mathematics, 2022 Middle East Respiratory Syndrome Coronavirus (MERS-CoV) is caused by a novel coronavirus and it can be a human-to-human transmission disease. World Health Organization (WHO) reported the disease outbreak first happened in Saudi Arabia in 2012 and the ...
Livia Owen
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Dynamics Analysis of a Discrete-Time Commensalism Model with Additive Allee for the Host Species
Axioms, 2023 We propose and study a class of discrete-time commensalism systems with additive Allee effects on the host species. First, the single species with additive Allee effects is analyzed for existence and stability, then the existence of fixed points of ...
Yanbo Chong +3 more
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Complexity, 2021 The complex bursting oscillation and bifurcation mechanisms in coupling systems of different scales have been a hot spot domestically and overseas.
Youhua Qian, Danjin Zhang, Bingwen Lin
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Analysis of divergent bifurcations in the dynamics of wheeled vehicles [PDF]
Mechanical Sciences, 2022 This paper presents the bifurcation approach to analyze divergent loss of stability of the symmetric solution of a nonlinear dynamic model in Lyapunov's critical case of a single zero root. Under such a condition, material birth-annihilation bifurcations
V. Verbitskii +3 more
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Nonlinear dynamics, 2021 The main purpose of the paper is to reveal the mechanism of certain special phenomena in bursting oscillations such as the sudden increase of the spiking amplitude.
Xiao-Fang Zhang +3 more
semanticscholar +1 more source
Desimal, 2022 The logistic model can be applied in the field of biological studies to investigate population growth problems and some important aspects of the ecological situation.
Yuni Yulida +3 more
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