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
semanticscholar +2 more sources
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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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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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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Trimodal steady water waves [PDF]
, 2014 We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves on finite depth. The solutions contain counter-currents and multiple crests in each minimal period.
Ehrnström, Mats, Wahlén, Erik
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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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Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator [PDF]
, 2004 In this paper we extend existing results concerning generalized eigenvalues of Pucci's extremal operators. In the radial case, we also give a complete description of their spectrum, together with an equivalent of Rabinowitz's Global Bifurcation Theorem ...
Alexander Quaas +36 more
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On bifurcation for semilinear elliptic Dirichlet problems and the Morse-Smale index theorem [PDF]
, 2013 We study bifurcation from a branch of trivial solutions of semilinear elliptic Dirichlet boundary value problems on star-shaped domains, where the bifurcation parameter is introduced by shrinking the domain.
Alessandro Portaluri +8 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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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
doaj +1 more source