Results 71 to 80 of about 401 (174)
Ecology, Volume 105, Issue 2, February 2024.Abstract A growing body of literature recognizes that pairwise species interactions are not necessarily an appropriate metaphorical molecule of community ecology. Two examples are intransitive competition and nonlinear higher‐order effects. While these two processes have been discussed extensively, the explicit analysis of how the two of them behave ...
John Vandermeer, Ivette Perfecto
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Heteroclinic Bifurcations and Invariant Manifolds in Rocking Block Dynamics
Zeitschrift für Naturforschung A, 1991 Abstract A simple model of rigid block motion under the influence of external perturbations is discussed. For periodic forcings we prove the existence of Smale horseshoe chaos in the dynamics. For slender blocks a heteroclinic bifurcation condition is calculated exactly, i.e. without using perturbation methods.
Bruhn, B., Koch, B. P.
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Bifurcation characteristics and safe basin of MSMA microgripper subjected to stochastic excitation
AIP Advances, 2015 A kind of magnetic shape memory alloy (MSMA) microgripper is proposed in this paper, and its nonlinear dynamic characteristics are studied when the stochastic perturbation is considered.
Z. W. Zhu, X. M. Li, J. Xu
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Analysis of Tangential Nonlinear Vibration on Machine Hydrostatic Slide
Shock and Vibration, 2019 In this paper, the nonlinear dynamic responses of the hydrostatic slide were investigated and the effects of damping and external force to control the vibration system were discussed.
Zhongkui Zhang +3 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
doaj
Propulsion and Power ResearchIn this paper, by using the bifurcation theory for dynamical system, we construct traveling wave solutions of a high-order nonlinear Schrödinger equation with a quintic nonlinearity.
Qiancheng Ouyang +5 more
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Dynamics of a New Four-Thirds-Degree Sub-Quadratic Lorenz-like System
AxiomsAiming to explore the subtle connection between the number of nonlinear terms in Lorenz-like systems and hidden attractors, this paper introduces a new simple sub-quadratic four-thirds-degree Lorenz-like system, where x˙=a(y−x), y˙=cx−x3z, z˙=−bz+x3y ...
Guiyao Ke +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this work, we analyze a bi-dimensional differential equation system obtained by considering Holling type II functional response in prey–predator model with strong Allee effect in prey.
Partha Mandal, Aadil Lahrouz
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Heteroclinic cycles emanating from local bifurcations
Manuscripta Mathematica, 1994 The paper deals with a two-parameter system of ordinary differential equations on \(\mathbb{R}^ n\) \((1) : \dot x = f(x, \lambda, \alpha)\), where \(f\) is \(Z_ 2\)-symmetric, i.e. there exists a linear mapping \(g : \mathbb{R}^ n \to \mathbb{R}^ n\) such that \(g^ 2 = I\), \(g \neq I\) and \(gf(x, \lambda, \alpha) = f(gx, \lambda, \alpha)\) for all \(
Wu, Wei, Zou, Yongkui, Huang, Mingyou
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Heteroclinic bifurcation theory and Riemann problems
Matemática Contemporânea, 1992 The author considers the system of two conservation laws in one space dimension and describes the heteroclinic bifurcation theory approach to the Riemann problems for this system.
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