Results 101 to 110 of about 577,183 (211)
Constraining safe and unsafe overshoots in saddle-node bifurcations
Chaos: An Interdisciplinary Journal of Nonlinear ScienceWe consider a dynamical system undergoing a saddle-node bifurcation with an explicitly time-dependent parameter p(t). The combined dynamics can be considered a dynamical system where p is a slowly evolving parameter. Here, we investigate settings where the parameter features an overshoot. It crosses the bifurcation threshold for some finite duration te
Elias Enache +3 more
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Boundary Driven Waveguide Arrays: Supratransmission and Saddle-Node Bifurcation [PDF]
SIAM Journal on Applied Mathematics, 2008 In this report, we consider a semi-infinite discrete nonlinear Schrödinger equation driven at one edge by a driving force. The equation models the dynamics of coupled waveguide arrays. When the frequency of the forcing is in the allowed-band of the system, there will be a linear transmission of energy through the lattice.
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Sil'nikov-saddle-node interaction near a codimension 2 bifurcation: Laser with injected signal
, 1997 We describe a Sil'nikov-saddle-node interaction in the proximity of a Hopf-saddle-node bifurcation both from numerical and theoretical viewpoints, inspired by numerical observations on a 3-dim model of a laser with injected signal.
Hernan G. Solari +3 more
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Time-scale separation at saddle point (A) and saddle node bifurcation (B-C).
, 2012 (A) A time-scale separation between the stable and unstable manifolds of the saddle point enhances its temporary attractivity. Trajectories (grey curves) converge to the unstable manifold (red dashed line) in the fast time-scale before sliding to a ...
Laura Trotta (177193) +2 more
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Optimal Control of Saddle Node Bifurcations
Nonautonomous saddle node bifurcations commonly appear in mathematical models, however, an optimal control theory tailored to such systems is not yet well established. We present conceptual work on the nonautonomous saddle node normal form. We develop an approach that reformulates the optimal control problem into an unconstrained minimization problem ...
Beekmann, Christopher +1 more
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Global dynamics of a modified hybrid Van der Pol-Rayleigh oscillator II
Electronic Journal of Differential EquationsIn this article, we study a modified hybrid Van der Pol-Rayleigh oscillator. We consider bifurcation diagrams and global phase portraits in the Poincare disc under some restrictions on the parameters.
Yuhuan Lu, Rui Zhang
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Bifurcation Analysis of the Dynamics in COVID-19 Transmission through Living and Nonliving Media
Journal of Applied MathematicsTransmission of COVID-19 occurs either through living media, such as interaction with a sufferer, or nonliving objects contaminated with the virus. Recovering sufferers and disinfectant spraying prevent interaction between people and virus become the ...
Ario Wiraya +5 more
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AxiomsThis paper studies a particular type of planar Filippov system that consists of two discontinuity boundaries separating the phase plane into three disjoint regions with different dynamics. This type of system has wide applications in various subjects. As
Nanbin Cao, Yue Zhang, Xia Liu
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Bifurcation Behavior Analysis in a Predator-Prey Model
Discrete Dynamics in Nature and Society, 2016 A predator-prey model is studied mathematically and numerically. The aim is to explore how some key factors influence dynamic evolutionary mechanism of steady conversion and bifurcation behavior in predator-prey model.
Nan Wang +5 more
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The dynamic saddle–node bifurcation with noise on the slow variable
NonlinearityAbstract In this work, we analyse the effect of adding Gaussian white noise to the slow variable of a slow–fast system passing through a saddle–node (or fold) bifurcation. This problem is mainly motivated by applications to nonlinear energy sinks.
Bergeot, Baptiste +2 more
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