Results 21 to 30 of about 2,502,460 (317)
Dynamics of full-coupled chains of a great number of oscillators with a large delay in couplings [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2023 The subject of this work is the study of local dynamics of full-coupled chains of a great number of oscillators with a large delay in couplings. From a discrete model describing the dynamics of a great number of coupled oscillators, a transition has been
Kashchenko, Sergej Aleksandrovich
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Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network
Mathematical Biosciences and Engineering, 2017 There have been some results on bifurcations of codimension one (such as saddle-node, transcritical, pitchfork) and degenerate Hopf bifurcations for an enzyme-catalyzed reaction system comprising a branched network but no further discussion for ...
Qiuyan Zhang +2 more
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Journal of Computational and Applied Mathematics, 1990 AbstractIn this paper a method of computing a normal form for a system of ordinary differential equations is given. A program using the symbolic manipulator MACSYMA is used on several examples.
S.-N. Chow, B. Drachman, D. Wang
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Stability and Hopf bifurcation periodic orbits in delay coupled Lotka-Volterra ring system
Open Mathematics, 2019 In this paper, we consider a class of delay coupled Lotka-Volterra ring systems. Based on the symmetric bifurcation theory of delay differential equations and representation theory of standard dihedral groups, properties of phase locked periodic ...
Su Rina, Zhang Chunrui
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Periodic and torus motions of a two-degree-of-freedom dry friction vibration system
Frontiers in Physics, 2023 Vibration induced by dry friction is ubiquitous in various engineering fields. To explore the vibration characteristics for further studies and/or controls, it is of great theoretical and practical significances to investigate the non-linear dynamic ...
Yong Guo
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Monodromy and normal forms [PDF]
, 2015 26 pages, to appear on a volume by Springer Verlag on the occasion of the 200th anniversary of Weierstrass ...
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Mathematical and Computational ApplicationsThis paper presents a mathematical model of the cardiovascular system (CVS) designed to simulate both normal and pathological conditions within the systemic circulation.
Dulce A. Serrano-Cruz +4 more
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A Generalization of the Theory of Normal Forms [PDF]
Journal of Nonlinear Science, 1996 Normal forms allow the use of a restricted class of coordinate transformations (typically homogeneous polynomials) to put the bifurcations found in nonlinear dynamical systems into a few standard forms. We investigate here the consequences of relaxing the restrictions of the form of the coordinate transformations. In the Duffing equation, a logarithmic
William H. Warner +2 more
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Oscillatory dynamics in a reaction-diffusion system in the presence of 0:1:2 resonance
Networks and Heterogeneous Media, 2012 Oscillatory dynamics in a reaction-diffusion system with spatially nonlocal effectunder Neumann boundary conditions is studied.The system provides triply degenerate points for two spatially non-uniform modes anduniform one (zero mode).We focus our ...
Toshiyuki Ogawa, Takashi Okuda
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Gröbner–Shirshov Bases Theory for Trialgebras
Mathematics, 2021 We establish a method of Gröbner–Shirshov bases for trialgebras and show that there is a unique reduced Gröbner–Shirshov basis for every ideal of a free trialgebra.
Juwei Huang, Yuqun Chen
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