Results 111 to 120 of about 8,832 (231)
Computing connecting orbits to infinity associated with a homoclinic flip bifurcation
, 2020 Andrus Giraldo +2 more
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Homoclinic Points Calculation Method With Particle Swarm Optimization
IEEE AccessThis 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
Shock and Vibration, 1995 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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, 2019 We perform one and two-parameter numerical bifurcation analysis of a mechanotransduction model approximating the dynamics of mesenchymal stem cell differentiation into neurons, adipocytes, myocytes and osteoblasts. For our analysis, we use as bifurcation
Kontolati, Katiana +1 more
core
The bifurcation of homoclinic orbits of maps of the interval [PDF]
, 1982 Louis Block, David Hart
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Excitability in a Model with a Saddle-Node Homoclinic Bifurcation [PDF]
, 2005 Rui Dilão, András Volford
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Bifurcation of multi-bump homoclinics in systems with normal and slow variables
Electronic Journal of Differential Equations, 2000 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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Homoclinic Bifurcations: our collaboration with Jean-Christophe Yoccoz [PDF]
, 2017 Carlos Gustavo Moreira, Jacob Palis
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Global bifurcation of homoclinic trajectories of discrete dynamical systems [PDF]
, 2012 Jacobo Pejsachowicz, Robert Skiba
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Heterodimensional cycles near homoclinic bifurcations
, 2016 In this thesis we study bifurcations of a pair of homoclinic loops to a saddle-focus equilibrium (with a one-dimensional unstable manifold) in flows with dimension four or higher. Particularly, we show that heterodimensional cycles can be born from such bifurcations.
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