Results 231 to 240 of about 742 (244)

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

ON THE HOPF–PITCHFORK BIFURCATION IN THE CHUA'S EQUATION

International Journal of Bifurcation and Chaos, 2000
We study some periodic and quasiperiodic behaviors exhibited by the Chua's equation with a cubic nonlinearity, near a Hopf–pitchfork bifurcation. We classify the types of this bifurcation in the nondegenerate cases, and point out the presence of a degenerate Hopf–pitchfork bifurcation. In this degenerate situation, analytical and numerical study shows
Algaba, A., Merino, M., Freire, E., Gamero, E., Rodríguez-Luis, A. J.   +4 more
openaire   +1 more source

Supercritical Pitchfork Bifurcation in Implicit Regression Modeling

International Journal of Artificial Life Research, 2010
Chaotic systems have been widely studied for description and explanation of various observed phenomena. The problem of statistical modeling for messy data can be attempted using the so called Supercritical Pitchfork Bifurcation (SPB) approach. This work considers the possibility of applying SPB technique to regression modeling of the implicit functions.
openaire   +1 more source

Hopf bifurcation at a degenerate stationary pitchfork

Nonlinear Analysis: Theory, Methods & Applications, 1986
In this paper the branching of genuine periodic solutions for one parameter families of certain parabolic differential equations is investigated. The conditions given in the paper imply the existence of such solutions near a highly degenerate singularity, coming from the interaction of a simple zero eigenvalue and a pair of simple purely imaginary ...
openaire   +2 more sources

Stochastic pitchfork bifurcation: numerical simulations and symbolic calculations using MAPLE

Mathematics and Computers in Simulation, 1995
This paper presents results of simulations done to study pitchfork bifurcation of the nonlinear stochastic differential equation \[ dx_t = (\alpha x + \beta x^3)dt + \sigma_1 x dw^1_t + \sigma_2 x^3 dw^2_t \] where \((w^1_t, w^2_t)\) is a Wiener process taking values in \(\mathbb{R}^2\).
openaire   +1 more source

Study of Pitchfork Bifurcation in Discrete Hopfield Neural Network

2010
A simple two-neuron model of a discrete Hopfield neural network is considered. The local stability is analyzed with the associated characteristic model. In order to study the dynamic behavior, the Pitchfork bifurcation is examined. In the case of two neurons, one necessary condition for yielding the Pitchfork bifurcation is found.
R. Marichal, J. D. Piñeiro, E. González, J. Torres   +3 more
openaire   +1 more source

Pitchfork Bifurcation of Dislocation Locks

Solid State Phenomena, 1991
J. Thibault-Desseaux, H.O.K. Kirchner
openaire   +1 more source

Theory for relaxation at a subcritical pitchfork bifurcation

Physical Review A, 1990
, Colet, , De Pasquale F, , Cáceres, , San Miguel M   +3 more
openaire   +2 more sources

PITCHFORK PHASE “BIFURCATION” OF ISOLATOR STIFFNESS

Journal of Sound and Vibration, 2002
openaire   +1 more source

Intermittency in inverted-pitchfork bifurcations of dissipative and conservative maps

Physical Review Letters, 1989
, Lahiri, , Nag
openaire   +2 more sources