Results 81 to 90 of about 311,588 (266)
Bifurcation of Nonlinear Equations: II. Dynamic Bifurcation [PDF]
Methods and Applications of Analysis, 2004 We study in this article dynamic bifurcation of nonlinear evolution equations due to higher order nonlinear terms, focusing on detailed bifurcation behavior of nonlinear evolution equations in the cases where the algebraic multiplicity of the eigenvalues of the linearized problem is one or two.
Ma, Tian, Wang, Shouhong
openaire +3 more sources
Alternate Pacing of Border-Collision Period-Doubling Bifurcations [PDF]
arXiv, 2006 Unlike classical bifurcations, border-collision bifurcations occur when, for example, a fixed point of a continuous, piecewise $\mathcal{C}^{1}$ map crosses a boundary in state space. Although classical bifurcations have been much studied, border-collision bifurcations are not well understood. This paper considers a particular class of border-collision
arxiv
Elements of Applied Bifurcation Theory
Applied Mathematical Sciences, 2023 Y. Kuznetsov
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Circulation Research, 1983 The distribution of nonstenosing, asymptomatic intimal plaques in 12 adult human carotid bifurcations obtained at autopsy was compared with the distribution of flow streamline patterns, flow velocity profiles, and shear stresses in corresponding scale ...
C. Zarins +5 more
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Nonlinear Dynamics Analysis for the Taut Inclined Cable Excited by Deck Vibration
Nonlinear Engineering, 2017 A simple mechanical model is proposed to describe the dynamics system of the taut inclined cable excited by the deck vibration. Using Galerkin method, the dynamics system is simplified into a one-degree of freedom nonlinear system. Average method is used
Qian C. Z., Chen C. P.
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Classification of solitary wave bifurcations in generalized nonlinear Schrödinger equations [PDF]
arXiv, 2012 Bifurcations of solitary waves are classified for the generalized nonlinear Schr\"odinger equations with arbitrary nonlinearities and external potentials in arbitrary spatial dimensions. Analytical conditions are derived for three major types of solitary wave bifurcations, namely saddle-node bifurcations, pitchfork bifurcations and transcritical ...
arxiv
Unfolding a Codimension-Two, Discontinuous, Andronov-Hopf Bifurcation [PDF]
, 2008 We present an unfolding of the codimension-two scenario of the simultaneous occurrence of a discontinuous bifurcation and an Andronov-Hopf bifurcation in a piecewise-smooth, continuous system of autonomous ordinary differential equations in the plane. We find the Hopf cycle undergoes a grazing bifurcation that may be very shortly followed by a saddle ...
arxiv +1 more source
Stability and bifurcation on predator-prey systems with nonlocal prey competition
, 2017 In this paper, we investigate diffusive predator-prey systems with nonlocal intraspecific competition of prey for resources. We prove the existence and uniqueness of positive steady states when the conversion rate is large.
Shanshan Chen, Jianshe Yu
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Stability and Bifurcation Analysis of a Three-Species Food Chain Model with Fear
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2015 In the present paper, we investigate the impact of fear in a tri-trophic food chain model. We propose a three-species food chain model, where the growth rate of middle predator is reduced due to the cost of fear of top predator, and the growth rate of ...
Pijush Panday +3 more
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Bifurcations of nontrivial solutions of a cubic Helmholtz system
Advances in Nonlinear Analysis, 2019 This paper presents local and global bifurcation results for radially symmetric solutions of the cubic Helmholtz ...
Mandel Rainer, Scheider Dominic
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