Thermosolutal and binary fluid convection as a 2 x 2 matrix problem
, 2001 We describe an interpretation of convection in binary fluid mixtures as a superposition of thermal and solutal problems, with coupling due to advection and proportional to the separation parameter S.
Tuckerman, Laurette S.
core +2 more sources
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
doaj
On the pitchfork bifurcation of the folded node and other unbounded time-reversible connection problems in $\mathbb R^3$ [PDF]
arXiv, 2020 In this paper, we revisit the folded node and the bifurcations of secondary canards at resonances $\mu\in \mathbb N$. In particular, we prove for the first time that pitchfork bifurcations occur at all even values of $\mu$. Our approach relies on a time-reversible version of the Melnikov approach in \cite{wechselberger2002a}, used in \cite ...
arxiv
Is Phenylnitrene a Missing Link in the Formation of Polycyclic Aromatic Nitrogen Heterocycles?
Angewandte Chemie International Edition, Accepted Article.The incorporation of heteroatoms into the framework of polycyclic aromatic hydrocarbons (PAHs), in particular of nitrogen to yield polycyclic aromatic nitrogen heterocycles (PANHs), has been proposed for both astronomical and combustion environments, but no suitable precursors and pathways have been found.
Rahel Arns +6 more
wiley +1 more source
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
doaj +1 more source
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
doaj +1 more source
Bifurcation structure of two coupled FHN neurons with delay [PDF]
arXiv, 2015 This paper presents an investigation of the dynamics of two coupled non-identical FitzHugh-Nagumo neurons with delayed synaptic connection. We consider coupling strength and time delay as bifurcation parameters, and try to classify all possible dynamics which is fairly rich. The neural system exhibits a unique rest point or three ones for the different
arxiv
Perfect and imperfect pitchfork bifurcations in a V-shaped spring-mass system: Comment on “Hysteresis in a simple V-shaped spring-mass system” [Am. J. Phys. 89, 663–665 (2021)] [PDF]
, 2023 J. J. Bissell, A. M. Nagaitis
openalex +1 more source
NLS Bifurcations on the bowtie combinatorial graph and the dumbbell metric graph
, 2018 We consider the bifurcations of standing wave solutions to the nonlinear Schr\"odinger equation (NLS) posed on a quantum graph consisting of two loops connected by a single edge, the so-called dumbbell, recently studied by Marzuola and Pelinovsky.
Goodman, Roy H.
core +1 more source
International Journal of Applied Mechanics and Engineering, 2016 In this paper, we investigate the combined effect of internal heating and time periodic gravity modulation in a viscoelastic fluid saturated porous medium by reducing the problem into a complex non-autonomous Ginzgburg-Landau equation.
B.S. Bhadauria +4 more
doaj +1 more source