Results 121 to 130 of about 7,371 (144)
Dynamics of a Filippov epidemic model with limited hospital beds
A Filippov epidemic model is proposed to explore the impact of capacity and limited resources of public health system on the control of epidemic diseases.
Aili Wang, Yanni Xiao, Huaiping Zhu
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Homoclinic Points Calculation Method With Particle Swarm Optimization
This paper proposes a novel algorithm to accurately calculate the coordinates of homoclinic points observed in discrete-time dynamical systems. The proposed method is based on the particle swarm optimization method. Compared with the current methods, the
Tatsumi Makino +3 more
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Parametrically Excited Nonlinear Two-Degree-of-Freedom Systems with Repeated Natural Frequencies
The method of normal forms is used to study the nonlinear response of two-degree-of-freedom systems with repeated natural frequencies and cubic nonlinearity to a principal parametric excitation.
A. H. Nayfeh, C. Chin, D. T. Mook
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Bifurcation of multi-bump homoclinics in systems with normal and slow variables
Bifurcation of multi-bump homoclinics is studied for a pair of ordinary differential equations with periodic perturbations when the first unperturbed equation has a manifold of homoclinic solutions and the second unperturbed equation is vanishing.
Michal Feckan
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A multiplicity of localised buckling modes for twisted rod equations [PDF]
Champneys, AR, Thompson, JMT
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Resonant Homoclinic Flip Bifurcations [PDF]
Homoclinic bifurcations gained a lot of attention because they are closely related to transitions to chaotic dynamics. Many kinds of homoclinic bifurcations were studied (the best known is the Shil'nikov case of a homoclinic orbit to a saddle-focus equilibrium).
Homburg, A.J., Krauskopf, B.
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Homoclinic bifurcations and the Floquet torus
Ergodic Theory and Dynamical Systems, 2000In this paper we show that a $C^r$ diffeomorphism having an invariant Floquet torus which is non-normally hyperbolic can be approximated, in the $C^{r-3}$ topology, by another one which exhibits a homoclinic tangency.
Leonardo Mora, J. C. MartÃn
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Transverse bifurcations of homoclinic cycles
Physica D: Nonlinear Phenomena, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pascal Chossat +3 more
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Homoclinic bifurcations in heterogeneous market models
Chaos, Solitons & Fractals, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
FORONI, ILARIA, Gardini, L.
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Bifurcation of degenerate homoclinics
Results in Mathematics, 1992The continuation and bifurcation of homoclinic orbits near a given degenerate homoclinic orbit is analyzed. It is shown that the existence of such degenerate homoclinic orbits is a codimension three phenomenon and that generically the set of parameter values at which a homoclinic solution exists forms a codimension one surface which shows a singularity
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