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作者:Shaojie Yang , Tianzhou Xu
来源:[J].Nonlinear Dynamics(IF 3.009), 2017, Vol.89 (3), pp.2227-2232Springer
摘要:In this paper, steady bifurcation and solitary waves of the perturbed PHI-four equation are investigated. Steady bifurcation, bistability and bi-instability are analyzed by selecting the perturbation term as the bifurcation control parameter. Furthermore, we obtain different cond...
作者:Giuseppe Pitton , Gianluigi Rozza
来源:[J].Journal of Scientific Computing(IF 1.71), 2017, Vol.73 (1), pp.157-177Springer
摘要:In this paper we apply a reduced basis framework for the computation of flow bifurcation (and stability) problems in fluid dynamics. The proposed method aims at reducing the complexity and the computational time required for the construction of bifurcation and stability diagrams....
作者:Cuncai Hua , Baisong Xie , Kaifen He
来源:[J].Chaos, Solitons and Fractals(IF 1.246), 2004, Vol.25 (5), pp.1161-1167Elsevier
摘要:Abstract(#br)In this paper, steady bifurcation and solitons in relativistic laser plasmas interaction are investigated. At first, a new coupled equation for wake wave and the circularly polarized transversal electromagnetic wave is derived. It is a Hamiltonian system with two deg...
作者:Rafael A. Monteiro
来源:[J].Journal of Differential Equations(IF 1.48), 2014, Vol.257 (6), pp.2035-2077Elsevier
摘要:Abstract(#br)We derive rigorously a nonlinear, steady, bifurcation through spectral bifurcation (i.e., eigenvalues of the linearized equation crossing the imaginary axis) for a class of hyperbolic–parabolic model in a strip. This is related to “cellular instabilities” o...
作者:Paul Mandel , Thomas Erneux
来源:[J].Journal of Statistical Physics(IF 1.4), 1987, Vol.48 (5-6), pp.1059-1070Springer
摘要:Abstract(#br)We consider the following problem as a model for the slow passage through a steady bifurcation: dy/dt = γ(t) y − y 3 + δ , where λ is a slowly increasing function of t given by λ = λ i + εt ( λ i ,<0). Both ε and δ are small parameters. This problem is m...
作者:Rebecca B. Hoyle
来源:[J].Physica D: Nonlinear Phenomena(IF 1.669), 2003, Vol.191 (3), pp.261-281Elsevier
摘要:Abstract(#br)This paper analyses the steady-state bifurcation with icosahedral symmetry. The Equivariant Branching Lemma is used to predict the generic bifurcating solution branches corresponding to each irreducible representation of the icosahedral group I h . The relevant ampli...
作者:Y. Guevel , H. Boutyour , J.M. Cadou
来源:[J].Journal of Computational Physics(IF 2.138), 2011, Vol.230 (9), pp.3614-3629Elsevier
摘要:... We first propose a numerical method to accurately detect the critical Reynolds number where this kind of bifurcation appears. From this singular value, we introduce a numerical tool to compute all the steady bifurcated branches. All these algorithms are based on the Asymp...
作者:Congshan Zhuo , Chengwen Zhong , Xixiong Guo ...
来源:[J].Procedia Engineering, 2013, Vol.61, pp.100-107Elsevier
摘要:... The present MRT-LBM results reveal a lot of important features of bifurcated flow, such as the multiplicity of stable asymmetric and unstable symmetric cavity flow patterns when the Reynolds number exceeds its first critical value (corresponding to the first steady bifurcation...
作者:Y. Guevel , G. Girault , J.M. Cadou
来源:[J].Computers and Fluids(IF 1.467), 2014, Vol.100, pp.185-195Elsevier
摘要:Abstract(#br)This work deals with the computation of steady bifurcation points in 2D incompressible Newtonian fluid flows. The problem is modeled with the Navier–Stokes equations with an evolving geometric parameter. The aim of the present study is to propose a reliable and e...
作者:WEI ZHANG , CHUNZHI SONG , MIN YE
来源:[J].International Journal of Bifurcation and Chaos(IF 0.921), 2006, Vol.16 (2), pp.325-347World Scientific Publishing
摘要:... The method of multiple scales is utilized to obtain the averaged equations that are numerically solved to obtain the steady bifurcation responses and analysis of stability for laminated composite thin plate. It is illustrated that under certain conditions laminated composite ...

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