Results 81 to 90 of about 17,111 (222)
AIMS MathematicsConsidering the impact of fear levels, Allee effects and hunting cooperation factors on system stability, a Leslie-Gower predator-prey model was formulated.
Weili Kong, Yuanfu Shao
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Critical phenomena in globally coupled excitable elements
, 2008 Critical phenomena in globally coupled excitable elements are studied by focusing on a saddle-node bifurcation at the collective level. Critical exponents that characterize divergent fluctuations of interspike intervals near the bifurcation are ...
C. L. Farrow +4 more
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Remarkable similarities of two pairs of stable and saddle canards in a van der Pol oscillator under extremely weak periodic perturbation [PDF]
, 2021 Canards are interesting nonlinear phenomena that have generated intense research interest since their discovery in the late 20th century. We are interested here in how canard-generating dynamics are influenced by extremely weak periodic perturbations ...
Endo, Tetsuro +5 more
core
physica status solidi (RRL) – Rapid Research Letters, Volume 19, Issue 6, June 2025.Reservoir computing with optical devices offers an energy‐efficient approach for time‐series forecasting. For quantum‐dot lasers with optical self‐feedback, the scattering timescale R into the quantum‐dot levels changes the predictive performance of the reservoir computer.
Huifang Dong +2 more
wiley +1 more source
Tipping points near a delayed saddle node bifurcation with periodic forcing
, 2015 We consider the effect on tipping from an additive periodic forcing in a canonical model with a saddle node bifurcation and a slowly varying bifurcation parameter.
Erneux, Thomas +2 more
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Identifying early warning signals of cancer formation
Quantitative Biology, Volume 13, Issue 2, June 2025.Abstract It is increasingly clear that cancer is a complex systemic disease and one of the most fatal diseases in humans. Complex systems, including cancer, exhibit critical transitions in which the system abruptly shifts from one state to another. However, predicting these critical transitions is difficult as the system may show little change before ...
Chong Yu +3 more
wiley +1 more source
Lorenz attractor through saddle-node bifurcations
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1996 In this paper we consider the unfolding of a geometric Lorenz attractor when the singularity contained in this attractor goes through a saddle-node bifurcation. It is shown that these unfoldings can carry such a geometric Lorenz attractor either directly into a hyperbolic Plykin attractor or into phenomena associated to the unfolding of homoclinic ...
openaire +3 more sources
Homoclinic Saddle-Node Bifurcations and Subshifts in a Three-Dimensional Flow [PDF]
Archive for Rational Mechanics and Analysis, 1998 We study a two‐parameter family of three‐dimensional vector fields that are small perturbations of an integrable system possessing a line Γ of degenerate saddle points connected by a manifold of homoclinic loops. Under perturbation, this manifold splits and undergoes a quadratic homoclinic tangency. Perturbation methods followed by geometrical analyses
Hek, G., Doelman, A., Holmes, P.
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Improved Gevrey‐1 Estimates of Formal Series Expansions of Center Manifolds
Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.ABSTRACT In this paper, we show that the coefficients ϕn$\phi _n$ of the formal series expansions ∑n=1∞ϕnxn∈xC[[x]]$\sum _{n=1}^\infty \phi _n x^n\in x\mathbb {C}[[x]]$ of center manifolds of planar analytic saddle‐nodes grow like Γ(n+a)$\Gamma (n+a)$ (after rescaling x$x$) as n→∞$n\rightarrow \infty$.
Kristian Uldall Kristiansen
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Analysis of stationary points and their bifurcations in the ABC flow
, 2018 Analytical expressions for coordinates of stationary points and conditions for their existence in the ABC flow are received. The type of the stationary points is shown analytically to be saddle-node.
Didov, A. A., Uleysky, M. Yu.
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