Results 121 to 130 of about 35,466 (285)
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
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
core +1 more source
A Minimal Model of Burst-Noise Induced Bistability [PDF]
, 2017 We investigate the influence of intrinsic noise on stable states of a one-dimensional dynamical system that shows in its deterministic version a saddle-node bifurcation between monostable and bistable behaviour.
Drossel, Barbara +2 more
core +3 more sources
Ultradiscrete Bifurcations for One Dimensional Dynamical Systems [PDF]
, 2020 Bifurcations of one dimensional dynamical systems are discussed based on some ultradiscrete equations. The ultradiscrete equations are derived from normal forms of one-dimensional nonlinear differential equations, each of which has saddle-node, transcritical, or supercritical pitchfork bifurcations.
arxiv +1 more source
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
wiley +1 more source
Nonsmooth Homoclinic Bifurcation in a Conceptual Climate Model [PDF]
arXiv, 2016 Collision of equilibria with a splitting manifold has been locally studied, but might also be a contributing factor to global bifurcations. In particular a boundary collision can be coincident with collision of a virtual equilibrium with a periodic orbit, giving an analogue to a homoclinic bifurcation.
arxiv
Elastic‐Wave Propagation in Chiral Metamaterials: A Couple‐Stress Theory Perspective
Advanced Engineering Materials, Volume 27, Issue 9, May 2025.The intrinsic chirality of chiral metamaterials renders an effective medium based on the classical continuum theory ineffective for predicting their acoustic activity. This limitation is addressed in the present study by employing augmented asymptotic homogenization to derive a couple‐stress‐based effective medium, enabling accurate predictions in the ...
Shahin Eskandari +5 more
wiley +1 more source
Stability analysis for pitchfork bifurcations of solitary waves in generalized nonlinear Schroedinger equations [PDF]
, 2012 Linear stability of both sign-definite (positive) and sign-indefinite solitary waves near pitchfork bifurcations is analyzed for the generalized nonlinear Schroedinger equations with arbitrary forms of nonlinearity and external potentials in arbitrary spatial dimensions.
arxiv +1 more source
Common sports‐related nerve injuries seen by the electrodiagnostic medical consultant
Muscle &Nerve, Volume 71, Issue 5, Page 715-731, May 2025.Abstract The high physiologic demands of sports create dynamic stress on joints, soft tissues, and nerves which may lead to injuries in the athlete. Electrodiagnostic (EDx) assessment is essential to identify the correct diagnosis, localization, and prognosis, to guide management of sports‐related neuropathies.
Jordan I. Farag +2 more
wiley +1 more source
Exponential peak and scaling of work fluctuations in modulated systems
, 2007 We extend the stationary-state work fluctuation theorem to periodically modulated nonlinear systems. Such systems often have coexisting stable periodic states.
E. G. D. Cohen +8 more
core +1 more source