The driven-dissipative Bose–Hubbard dimer: phase diagram and chaos
New Journal of Physics, 2020 We present the phase diagram of the mean-field driven-dissipative Bose–Hubbard dimer model. For a dimer with repulsive on-site interactions ( U > 0) and coherent driving, we prove that ${{\mathbb{Z}}}_{2}$ -symmetry breaking, via pitchfork bifurcations ...
Andrus Giraldo +4 more
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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 Lévy noise (an important class of non-Gaussian noise), by examining the qualitative changes of equilibrium states with its most probable phase portraits. We have found some peculiar bifurcation phenomena in contrast to the deterministic counterpart: (i) When the non-Gaussianity ...
Jinqiao Duan +3 more
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Cusp points and pitchfork interactions in equivariant bifurcation problems
Differential and Integral Equations, 1993 The relation between the concept of a cusp point for a mapping between Banach spaces and the interaction of two classical pitchfork bifurcations in equivariant spaces is considered. 2 parameter problems are considered by an approach based on linear normal form theory, Lyapunov-Schmidt reduction and restriction to solutions with appropriate isotropies ...
LUPO, DANIELA ELISABETTA +1 more
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Nonlinear Magnetoconvection in a Sparsely Packed Porous Medium
International Journal of Geophysics, 2011 Linear and weakly nonlinear properties of magnetoconvection in a sparsely packed porous medium are investigated. We have obtained the values of Takens-Bogdanov bifurcation points and codimension two bifurcation points by plotting graphs of neutral curves
A. Benerji Babu +2 more
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Bifurcation analysis and dynamics of a Lorenz –type dynamical system
پژوهشهای ریاضی, 2017 ./files/site1/files/0Abstract1.pdfIn this paper we consider a continues Lorenz – type dynamical system. Dynamical behaviors of this system such as computing equilibrium points, different bifurcation curves and computation of normal form coefficient of ...
Behnaz Rahmani +3 more
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Bifurcation of Dividing Surfaces Constructed from a Pitchfork Bifurcation of Periodic Orbits in a Symmetric Potential Energy Surface with a Post-Transition-State Bifurcation [PDF]
, 2021 Matthaios Katsanikas +2 more
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Prebifurcation noise amplification and noise-dependent hysteresis as indicators of bifurcations in nonlinear geophysical systems [PDF]
Nonlinear Processes in Geophysics, 2005 The phenomena of prebifurcation noise amplification and noise-dependent hysteresis are studied as prospective indicators of bifurcations ('noisy precursor') in nonlinear Geophysical systems. The phenomenon of prebifurcation noise amplification arises due
E. Surovyatkina
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Pitchfork and Hopf bifurcations of geared systems with nonlinear suspension in permanent contact regime [PDF]
, 2022 Mohsen Azimi
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Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network
Mathematical Biosciences and Engineering, 2017 There have been some results on bifurcations of codimension one (such as saddle-node, transcritical, pitchfork) and degenerate Hopf bifurcations for an enzyme-catalyzed reaction system comprising a branched network but no further discussion for ...
Qiuyan Zhang +2 more
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Early‐Warning Signals for Critical Temperature Transitions
Geophysical Research Letters, 2020 Critical transitions of the state variable (temperature) in dynamic climate systems often lead to catastrophic consequence, whereas the effort to reverse the transitions usually lags behind.
Chenghao Wang, Zhi‐Hua Wang, Linda Sun
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