Results 61 to 70 of about 5,207 (226)
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract In this article, we investigate the existence and multiplicity of solutions to the Robin problem −Δu=λf(u)inΩ,∂u∂ν+γu=0on∂Ω,$$\begin{equation*} {\begin{cases} -\Delta u = \lambda f(u) & \text{in } \Omega,\\ \frac{\partial u}{\partial \nu } + \gamma u=0 & \text{on } \partial \Omega, \end{cases}} \end{equation*}$$where Ω⊂RN$\Omega \subset ...
José Carmona Tapia +2 more
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Parametric Resonance of Hopf Bifurcation [PDF]
Nonlinear Dynamics, 2005 We investigate the dynamics of a system consisting of a simple, harmonic oscillator with small nonlinearity, small damping and small parametric forcing in the neighborhood of 2:1 resonance. We assume that the unforced system exhibits the birth of a stable limit cycle as the damping changes sign from positive to negative (a supercritical Hopf ...
Rand, Richard +2 more
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The role of edible habitat complexity in food webs
Limnology and Oceanography Letters, Volume 11, Issue 3, May 2026.Abstract Habitat complexity (HC) in part determines the diversity, stability, and behavior of food webs and can influence predation according to a wide variety of functional relationships. Many aquatic species provide HC and are also consumed by other species (e.g., macrophytes, corals, mussels).
Eden J. Forbes, Jason D. Stockwell
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On the nonautonomous Hopf bifurcation problem [PDF]
Discrete and Continuous Dynamical Systems - S, 2016 Consider the two-dimensional system \[ \frac{dx}{dt}=f(x,\epsilon), \] where \(f(0,\epsilon)=0\). In the supercritical Andronov-Hopf theory, one imposes conditions to ensure that \(x=0\) is an exponentially asymptotically stable equilibrium point for \(\epsilon < 0\), and for small positive \(\epsilon\), there is an exponentially asymptotically stable ...
FRANCA, MATTEO +2 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
wiley +1 more source
Discrete Dynamics in Nature and Society, 2006 We consider a simplified bidirectional associated memory (BAM) neural network model with four neurons and multiple time delays. The global existence of periodic solutions bifurcating from Hopf bifurcations is investigated by applying the global Hopf ...
Xiang-Ping Yan, Wan-Tong Li
doaj +2 more sources
Bifurcation Analysis for a Predator-Prey Model with Time Delay and Delay-Dependent Parameters
Abstract and Applied Analysis, 2012 A class of stage-structured predator-prey model with time delay and delay-dependent parameters is considered. Its linear stability is investigated and Hopf bifurcation is demonstrated.
Changjin Xu
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Ecology Letters, Volume 29, Issue 5, May 2026.The processes driving community assembly are broadly categorised into deterministic and stochastic ones. With a multi‐replicated experimental design, we quantified the extent to which stochasticity at initial stages of community assembly could drive divergence into alternative ecological trajectories.
Ibuki Hayashi +2 more
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Eco‐Epidemiological Mathematical Model Analysis With Time Delays and Hopf Bifurcation
Natural Resource Modeling, Volume 39, Issue 2, May 2026.ABSTRACT Ecological and infection predator prey mathematical model is important tool for understanding complex systems and forecasting outcomes biologically. Incorporating saturation mass action incidence rates representing the rate of susceptible prey infection as a function of time along with time delay terms, makes more realistic and reflective of ...
Solomon Molla Alemu +2 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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