Results 121 to 130 of about 26,001 (267)
Chaos in driven Alfvén systems: unstable periodic orbits and chaotic saddles [PDF]
Nonlinear Processes in Geophysics, 2007 The chaotic dynamics of Alfvén waves in space plasmas governed by the derivative nonlinear Schrödinger equation, in the low-dimensional limit described by stationary spatial solutions, is studied.
A. C.-L. Chian +5 more
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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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Exponential peak and scaling of work fluctuations in modulated systems
, 2007 We extend the stationary-state work fluctuation theorem to periodically modulated nonlinear systems. Such systems often have coexisting stable periodic states.
E. G. D. Cohen +8 more
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Analysis on recurrence behavior in oscillating networks of biologically relevant organic reactions
Mathematical Biosciences and Engineering, 2019 In this paper, we present a new method based on dynamical system theory to study certain type of slow-fast motions in dynamical systems, for which geometric singular perturbation theory may not be applicable.
Pei Yu, Xiangyu Wang
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Asymptotics of Dynamical Saddle-node Bifurcations
Nelineinaya Dinamika, 2022 Dynamical bifurcations occur in one-parameter families of dynamical systems, when the parameter is slow time. In this paper we consider a system of two nonlinear differential equations with slowly varying right-hand sides. We study the dynamical saddle-node bifurcations that occur at a critical instant.
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Codimension two and three bifurcations of a predator–prey system with group defense and prey refuge
Nonlinear Analysis, 2015 A predator–prey system with nonmonotonic functional response and prey refuge is considered. We mainly obtain that the system has the bifurcations of cusp-type codimension two and three, these illustrate that the dynamic behaviors of the model with prey ...
Xia Liu, Jinling Wang
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Bifurcation Analysis of a Rigid Impact Oscillator with Bilinear Damping
Shock and Vibration, 2018 This paper studies a rigid impact oscillator with bilinear damping developed as the mechanical model of an impulsive switched system. The stability and the bifurcation of periodic orbits in the impact oscillator are determined by using the mapping ...
Liping Zhang, Haibo Jiang, Yang Liu
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A planar model system for the saddle–node Hopf bifurcation with global reinjection [PDF]
, 2004 Bernd Krauskopf, Bart E. Oldeman
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Stability of a saddle node bifurcation under numerical approximations
Computers & Mathematics with Applications, 2005 AbstractIn this paper, we show that the solution flows generated by a one-parameter family of ordinary differential equations are stable under their numerical approximations in a vicinity of a saddle node. Our result sharpens the one in [1] and the proof is adapted from the method of Sotomayor in [2,3].
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Nonlinear AnalysisThis paper investigates the effect of fear effect and constant-type harvesting on the dynamic of a Leslie–Gower predator–prey model. Initially, an analysis is carried out to identify all potential equilibria and evaluate their stability.
Chenyang Huangfu, Zhong Li
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