Results 51 to 60 of about 970 (177)
Nonlinear Analysis, 2022 It is well known that integer-order neural networks with diffusion have rich spatial and temporal dynamical behaviors, including Turing pattern and Hopf bifurcation.
Jiazhe Lin, Jiapeng Li, Rui Xu
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Size‐Modulated Mesoderm‐Endoderm Divergence and Myocardial Cavitation in Micropatterned Cardioids
Advanced Science, Volume 13, Issue 30, 28 May 2026.Micropatterned cardioids, CRISPR‐engineered reporter hiPSCs, deep‐tissue imaging, and single‐cell RNA sequencing are integrated to model mesoderm‐endoderm co‐development. Heart‐foregut crosstalk promotes single large cavitation inside cardioids, resembling early heart chamber formation. ABSTRACT The human heart, originating from the splanchnic mesoderm,
Plansky Hoang +12 more
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Discrete Dynamics in Nature and Society, 2022 A delayed diffusive predator-prey model with predator interference or foraging facilitation is studied. We are interested in the existence of Turing instability, local stability, and Hopf bifurcation. We analyze the direction and stability of bifurcating
Wenlong Wang, Zijun Liu, Ruizhi Yang
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Material‐Based Intelligence: Autonomous Adaptation and Embodied Computation in Physical Substrates
Advanced Intelligent Systems, Volume 8, Issue 5, May 2026.This perspective formulates a unifying framework for Material‐Based Intelligence (MBI), defining the physical requirements for materials to achieve embodied action, active memory and embodied information processing through intrinsic nonequilibrium dynamics. The design of intelligent materials often draws parallels with the complex adaptive behaviors of
Vladimir A. Baulin +4 more
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Turing instability and Hopf bifurcation in a predator–prey model with delay and predator harvesting
Advances in Difference Equations, 2019 In this paper, we study a predator–prey model with delay and harvesting on predator. We give the conditions for stability and Turing instability of coexisting equilibrium by analyzing the eigenvalue spectrum.
Wenjing Gao +4 more
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Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.Abstract Melt migration in partially molten rocks is commonly described by porous flow models controlled by the hydro‐mechanical compaction length, which effectively explains melt extraction at mid‐ocean ridges. However, this framework cannot account for the paradoxical accumulation of small melt fractions into rhythmic leucosome–melanosome bands in ...
Qingpei Sun +3 more
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Are physiological oscillations physiological?
The Journal of Physiology, Volume 604, Issue 9, Page 3672-3693, 1 May 2026.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
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Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we focus on a ratio dependent predator-prey system with self- and cross-diffusion and constant harvesting rate. By making use of a brief stability and bifurcation analysis, we derive the symbolic conditions for Hopf, Turing and wave ...
Hunki Baek
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Discrete Dynamics in Nature and Society, 2020 The reaction diffusion system is one of the important models to describe the objective world. It is of great guiding importance for people to understand the real world by studying the Turing patterns of the reaction diffusion system changing with the ...
Lianchao Gu +2 more
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Spatio-temporal secondary instabilities near the Turing-Hopf bifurcation [PDF]
Scientific Reports, 2019 AbstractIn this work, we provide a framework to understand and quantify the spatiotemporal structures near the codimension-two Turing-Hopf point, resulting from secondary instabilities of Mixed Mode solutions of the Turing-Hopf amplitude equations.
Aldo Ledesma–Durán, J. L. Aragón
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