Results 11 to 20 of about 170,965 (333)
Pathwise description of dynamic pitchfork bifurcations with additive noise [PDF]
Probability Theory and Related Fields, 2002 The slow drift (with speed <em>e</em>) of a parameter through a pitchfork bifurcation point, known as the dynamic pitchfork bifurcation, is characterized by a significant delay of the transition from the unstable to the stable state.
Berglund, Nils, Gentz, Barbara
core +14 more sources
Semiclassical trace formulas for pitchfork bifurcation sequences [PDF]
Physical Review E, 2004 In nonintegrable Hamiltonian systems with mixed phase space and discrete symmetries, sequences of pitchfork bifurcations of periodic orbits pave the way from integrability to chaos. In extending the semiclassical trace formula for the spectral density, we develop a uniform approximation for the combined contribution of pitchfork bifurcation pairs.
Matthias Brack, Jörg Kaidel
core +10 more sources
Discretizing the transcritical and pitchfork bifurcations – conjugacy results [PDF]
Journal of Difference Equations and Applications, 2015 We present two case studies in one-dimensional dynamics concerning the discretization of transcritical (TC) and pitchfork (PF) bifurcations. In the vicinity of a TC or PF bifurcation point and under some natural assumptions on the one-step discretization method of order $p\ge 1$, we show that the time-$h$ exact and the step-size-$h$ discretized ...
Lajos Lóczi
+8 more sources
Hopf-pitchfork bifurcation of coupled van der Pol oscillator with delay
Nonlinear Analysis, 2017 In this paper, the Hopf-pitchfork bifurcation of coupled van der Pol with delay is studied. The interaction coefficient and time delay are taken as two bifurcation parameters.
Yuting Cai, Chunrui Zhang
doaj +2 more sources
A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits [PDF]
International Journal of Bifurcation and Chaos, 2018 We study stochastic bifurcation for a system under multiplicative stable Levy noise (an important class of non-Gaussian noise), by examining the qualitative changes of equilibrium states in its most probable phase portraits.
Hui Wang, Xiaoli Chen, Jinqiao Duan
semanticscholar +5 more sources
On the effect of multiplicative noise in a supercritical pitchfork bifurcation
, 2010 The most important characteristic of {\em multiplicative noise} is that its effects of system's dynamics depends on the recent system's state. Consideration of multiplicative noise on self-referential systems including biological and economical systems therefore is of importance. In this note we study an elementary example.
Stefan Reimann
openaire +4 more sources
Pitchfork Bifurcation In A Coupled Cell System [PDF]
Various biological phenomena, like cell differentiation and pattern formation in multicellular organisms, are explained using the bifurcation theory. Molecular network motifs like positive feedback and mutual repressor exhibit bifurcation and are responsible for the emergence of diverse cell types.
Raj, Shikhar, Bose, Biplab
openaire +3 more sources
On the direction of pitchfork bifurcation
Electronic Journal of Differential Equations, 2007 We present an algorithm for computing the direction of pitchfork bifurcation for two-point boundary value problems. The formula is rather involved, but its computational evaluation is quite feasible. As an application, we obtain a multiplicity result.
Xiaojie Hou, Philip Korman, Yi Li
doaj +1 more source
The effect of pitchfork bifurcations on the spectral statistics of Hamiltonian systems [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 LaTex, 25 pp., 14 Figures (26 *.eps files); final version 3, to be published in Journal of Physics ...
Ayumu Sugita +3 more
openaire +4 more sources
Pseudo-Pitchfork Bifurcation of Feasible Regions in Power Systems [PDF]
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2018 Chu-Yang Jiang, H. Chiang
semanticscholar +2 more sources