Results 81 to 90 of about 78,418 (212)
On the catastrophic bifurcation diagram of the truss arch system
Comptes Rendus. Mécanique, 2008 The nonlinear physical models depend on parameters. One of the important basic issues of bifurcation theory is the determination of the fixed points of the system under investigation. Nevertheless, the branching of solutions rarely occurs in the real applications for which imperfections tend to distort these sharp transitions. In the present paper, the
Cantin, Yannick, G. +2 more
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Bifurcation of positive solutions for the one-dimensional (p,q)-Laplace equation
Electronic Journal of Differential Equations, 2017 In this article, we study the bifurcation of positive solutions for the one-dimensional (p,q)-Laplace equation under Dirichlet boundary conditions. We investigate the shape of the bifurcation diagram and prove that there exist five different types of
Ryuji Kajikiya +2 more
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Adaptation Shapes Local Cortical Reactivity: From Bifurcation Diagram and Simulations to Human Physiological and Pathological Responses. [PDF]
eNeuro, 2023 Cattani A +5 more
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Bifurcation diagrams for singularly perturbed system
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We consider a singularly perturbed system where the fast dynamic of the unperturbed problem exhibits a trajectory homoclinic to a critical point. We assume that the slow time system is $1$-dimensional and it admits a unique critical point, which undergoes to a bifurcation as a second parameter varies: transcritical, saddle-node, or pitchfork.
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Nonsmooth Vibration Characteristic of Gear Pair System with Periodic Stiffness and Backlash
Discrete Dynamics in Nature and Society, 2018 As the most widely used power transmission device in mechanical equipment, the vibration characteristics of gears have a very important influence on the working performance.
Minjia He +5 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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Two-parameter unfolding of a parabolic point of a vector field in $\mathbb C$ fixing the origin [PDF]
arXiv, 2018 In this paper we describe the bifurcation diagram of the$2$-parameter family of vector fields $\dot z = z(z^k+\epsilon_1z+\epsilon_0)$ over $\mathbb C\mathbb P^1$ for $(\epsilon_1,\epsilon_0)\in \mathbb C^2$. There are two kinds of bifurcations: bifurcations of parabolic points and bifurcations of homoclinic loops through infinity.
arxiv
The Bifurcation Diagram of a Piecewise Composite Function
DEStech Transactions on Computer Science and Engineering, 2017 Bifurcation is a common and significant phenomenon in Nonlinear Science. The bifurcation diagram of a piecewise function which consists of a wavelet and a sine function is discussed in the paper. The diagram shows that one period of some areas evolve directly into three, five, seven, odd periods.
Xiang-xiang Wang, Wan-bo Yu, Yu Huang
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Entropy, 2016 In this paper, we build a model of energy-savings and emission-reductions with two delays. In this model, it is assumed that the interaction between energy-savings and emission-reduction and that between carbon emissions and economic growth are delayed ...
Jing Wang, Yuling Wang
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Dynamic Behavior and Bifurcation Analysis of a Modified Reduced Lorenz Model
MathematicsThis study introduces a newly modified Lorenz model capable of demonstrating bifurcation within a specified range of parameters. The model demonstrates various bifurcation behaviors, which are depicted as distinct structures in the diagram.
Mohammed O. Al-Kaff +4 more
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