Results 251 to 260 of about 1,048,174 (296)

Global Bifurcation from Intervals for Problems with Pucci's Operator

Zeitschrift für Analysis und ihre Anwendungen, 2020
We study global bifurcation from intervals for the following fully nonlinear elliptic problem with Pucci's operator \left\{ \begin{array}{ll} -\mathcal{M}_{\lambda,\Lambda}^+\left(D^2 u\right)=\mu u+h(u,\mu)+g(u,\mu)\,\,&\text{in}\,\, \Omega,\\ u=0&\text{on}\,\,\partial\Omega, \end ...
Luo, Hua, Dai, Guowei
openaire   +2 more sources

Stochastic Hopf bifurcation: The effect of colored noise on the bifurcation interval

Physical Review E, 1996
We consider a general nonlinear dynamical system undergoing a supercritical Hopf bifurcation, and driven by a Gaussian colored noise. Using normal form theory and an approximate effective Fokker-Planck equation, valid for weak intensity and small correlation time of the noise, we obtain an explicit expression for the stationary probability distribution
, Olarrea, , de la Rubia FJ
openaire   +2 more sources

A note on bifurcation from an interval

Nonlinear Analysis: Theory, Methods & Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, RY, Thompson, B
openaire   +4 more sources

Pitchfork bifurcation for non-autonomous interval maps

Journal of Difference Equations and Applications, 2009
In this work, we investigate attracting periodic orbits for non-autonomous discrete dynamical systems with two maps using a new approach. We study some types of bifurcation in these systems. We show that the pitchfork bifurcation plays an important role in the creation of attracting orbits in families of alternating systems with negative Schwarzian ...
D'ANIELLO, Emma, OLIVEIRA H.
openaire   +2 more sources

Stable Orbits and Bifurcation of Maps of the Interval

SIAM Journal on Applied Mathematics, 1978
Differentiable maps of class at least $C^3 $ from the unit interval to itself are shown to have a finite number of stable periodic orbits, each of which attracts the iterates of some critical point, assuming the hypothesis of everywhere negative Schwarzian derivative.
openaire   +1 more source

Stability and bifurcations on a finite time interval in variational inequalities

Differential Equations, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kalinichenko, D. Yu., Reitmann, V., Skopinov, S. N.   +2 more
openaire   +2 more sources

Genealogy and Bifurcation Skeleton for Cycles of the Iterated Two-Extremum Map of the Interval

SIAM Journal on Mathematical Analysis, 1991
Dynamics of iterated maps of an interval with extrema is connected to the analysis of the parameter-plane curves that correspond to the existence of so-called superstable cycles (cycles that include a turning point of the map and hence have eigenvalue zero).
Ringland, J., Schell, M.
openaire   +1 more source

Homoclinic Ω-Explosion: Hyperbolicity Intervals and Their Bifurcation Boundaries

2015
It has been established by Gavrilov and Shilnikov (Math USSR Sb 17:467–485, 1972) that at the bifurcation boundary, separating Morse–Smale systems from systems with complicated dynamics, there are systems with homoclinic tangencies. Moreover, when crossing this boundary, infinitely many periodic orbits appear immediately, just by “explosion.” Newhouse ...
Sergey Gonchenko, Oleg Stenkin
openaire   +1 more source

Bifurcation and optimal harvesting of a diffusive predator–prey system with delays and interval biological parameters

Journal of Theoretical Biology, 2014
This paper deals with a delayed reaction-diffusion three-species Lotka-Volterra model with interval biological parameters and harvesting. Sufficient conditions for the local stability of the positive equilibrium and the existence of Hopf bifurcation are obtained by analyzing the associated characteristic equation.
Xuebing Zhang, Hongyong Zhao
openaire   +2 more sources

Bifurcation from interval and positive solutions for second order periodic boundary value problems

Applied Mathematics and Computation, 2010
Consider the periodic boundary value problem associated to the second order equation \[ u''-q(t)u+\lambda f(t,u) =0, \] where \(\lambda \geq 0,\) \(q\) is continuous, \(2\pi\)-periodic and non-negative and \(f\) is of class \({\mathcal C}^1\) and non-negative. The main hypothesis reads as follows: for suitable non-negative functions \(\xi_i, \eta_i\), \
Jia Xu, Ruyun Ma
openaire   +1 more source