Results 11 to 20 of about 8,750 (185)
Forced patterns near a Turing-Hopf bifurcation [PDF]
Physical Review E, 2009 We study time-periodic forcing of spatially-extended patterns near a Turing-Hopf bifurcation point. A symmetry-based normal form analysis yields several predictions, including that (i) weak forcing near the intrinsic Hopf frequency enhances or suppresses
Anne J. Catllá +4 more
core +3 more sources
Utilizing Causal Network Markers to Identify Tipping Points ahead of Critical Transition. [PDF]
Adv Sci (Weinh)The study proposes a causal network markers (CNMs) framework to identify early‐warning signals preceding critical transitions. It validates CNMs on various computational benchmark models and real‐world datasets, demonstrating higher accuracy and flexibility compared to existing approaches.
Bian S, Wang Z, Leng S, Lin W, Shi J.
europepmc +2 more sources
On the Proper Treatment of Dynamics in Cognitive Science
Topics in Cognitive Science, EarlyView., 2023 Abstract This essay examines the relevance of dynamical ideas for cognitive science. On its own, the mere mathematical idea of a dynamical system is too weak to serve as a scientific theory of anything, and dynamical approaches within cognitive science are too rich and varied to be subsumed under a single “dynamical hypothesis.” Instead, after first ...
Randall D. Beer
wiley +1 more source
Are physiological oscillations physiological?
The Journal of Physiology, EarlyView., 2023 Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley +1 more source
Far-from-equilibrium thermodynamics of the human uterus: A self-organized dissipative structure. [PDF]
Physiol RepAbstract The aim of this study was to know how the human uterine muscle behaves from a thermodynamic point of view in pregnant and non‐pregnant states. According to far‐from‐equilibrium thermodynamics, an open system is far‐from‐equilibrium when its thermodynamic force varies non‐linearly with its thermodynamic flow.
Lecarpentier Y +6 more
europepmc +2 more sources
, 2021 Following the approach pioneered by Eckhaus, Mielke, Schneider, and others for reaction diffusion systems [E, M1, M2, S1, S2, SZJV], we systematically derive formally by multiscale expansion and justify rigorously by Lyapunov-Schmidt reduction amplitude equations describing Turing-type bifurcations of general reaction diffusion convection systems ...
Wheeler, Aric, Zumbrun, Kevin
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Convective Turing bifurcation with conservation laws
, 2023 Generalizing results of \cite{MC,S} and \cite{HSZ} for certain model reaction-diffusion and reaction-convection-diffusion equations, we derive and rigorously justify weakly nonlinear amplitude equations governing general Turing bifurcation in the presence of conservation laws. In the nonconvective, reaction-diffusion case, this is seen similarly as in \
Wheeler, Aric, Zumbrun, Kevin
openaire +2 more sources
Turing mechanism underlying a branching model for lung morphogenesis. [PDF]
PLoS ONE, 2017 The mammalian lung develops through branching morphogenesis. Two primary forms of branching, which occur in order, in the lung have been identified: tip bifurcation and side branching.
Hui Xu, Mingzhu Sun, Xin Zhao
doaj +1 more source
Mathematics, 2021 In this paper, a diffusive predator–prey system with a functional response that increases in both predator and prey densities is considered. By analyzing the characteristic roots of the partial differential equation system, the Turing instability and ...
Ruizhi Yang, Qiannan Song, Yong An
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Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion
Advances in Difference Equations, 2019 In this paper, the Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion and Neumann boundary condition is considered. Firstly, we present a kind of double parameters selection method, which can be used to analyze the Turing ...
Qiushuang Shi, Ming Liu, Xiaofeng Xu
doaj +1 more source