A bifurcation problem for a class of periodically perturbed autonomous parabolic equations
Boundary Value Problems, 2013 The paper deals with the problem of the existence of a branch of T-periodic solutions originating from the isolated limit cycle of an autonomous parabolic equation in a Banach space when it is perturbed by a nonlinear T-periodic term of small amplitude ...
M. Kamenskiĭ, B. Mikhaylenko, P. Nistri
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Complementing maps, continuation and global bifurcation [PDF]
, 1983 We state, and indicate some of the consequences of, a theorem whose sole assumption is the nonvanishing of the Leray- Schauder degree of a compact vector field, and whose conclusions yield multidimensional existence, continuation and bifurcation ...
Fitzpatrick, P. +2 more
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Bifurcation scenarios in an ordinary differential equation with constant and distributed delay: A case study [PDF]
, 2018 In this article we consider a model introduced by Ucar in order to simply describe chaotic behaviour with a one dimensional ODE containing a constant delay. We study the bifurcation problem of the equilibria and we obtain an approximation of the periodic
Caraballo Garrido, Tomás +2 more
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Weakly-nonlinear analysis of the Rayleigh–Taylor instability in a vertically vibrated, large aspect ratio container [PDF]
, 2001 We consider a horizontal liquid layer supported by air in a wide (as compared to depth) container, which is vertically vibrated with an appropriately large frequency, intending to counterbalance the Rayleigh-Taylor instability of the fíat, rigid-body ...
Lapuerta González, María Victoria +2 more
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VARIATIONAL APPROXIMATIONS OF BIFURCATIONS OF ASYMMETRIC SOLITONS IN CUBIC-QUINTIC NONLINEAR [PDF]
, 2009 Using a variational approximation we study discrete solitons of a nonlinear Schrodinger lattice with a cubic-quintic nonlinearity. Using an ansatz with six parameters we are able to approximate bifurcations of asymmetric solutions connecting site ...
C. Chong, D. Pelinovsky
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Unilateral global bifurcation and nodal solutions for the $p$-Laplacian with sign-changing weight [PDF]
, 2012 In this paper, we shall establish a Dancer-type unilateral global bifurcation result for a class of quasilinear elliptic problems with sign-changing weight.
Dai, Guowei, Ma, Ruyun
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Rabinowitz Alternative for Non-cooperative Elliptic Systems on Geodesic Balls
Advanced Nonlinear Studies, 2018 The purpose of this paper is to study properties of continua (closed connected sets) of nontrivial solutions of non-cooperative elliptic systems considered on geodesic balls in Sn{S^{n}}.
Rybicki Sławomir +2 more
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Existence, uniqueness and stability of positive solutions to a general sublinear elliptic systems
Boundary Value Problems, 2013 In this paper, we make use of a new stability result and bifurcation theory to study the existence and uniqueness of positive solutions to semilinear elliptic systems with some general sublinear conditions.
Boying Wu, Renhao Cui
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Preface. Bifurcations and Pattern Formation in Biological Applications [PDF]
, 2016 In the preface we present a short overview of articles included in the issue "Bifurcations and pattern formation in biological applications" of the journal Mathematical Modelling of Natural ...
A. Morozov +27 more
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On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls [PDF]
, 2013 We study bifurcation from a branch of trivial solutions of semilinear elliptic Dirichlet boundary value problems on a geodesic ball, whose radius is used as the bifurcation parameter.
Alessandro Portaluri +12 more
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