Results 91 to 100 of about 25,515 (266)
A Minimal Model of Burst-Noise Induced Bistability [PDF]
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
Considering 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
doaj +1 more source
Modeling and Analyzing the Influence of Fear on the Harvested Modified Leslie-Gower Model
A modified Leslie-Gower predator-prey model with a Beddington-DeAngelis functional response is proposed and studied. The purpose is to examine the effects of fear and quadratic fixed effort harvesting on the system's dynamic behavior.
Abdul Rahman Mahmoud Jamil+1 more
doaj +1 more source
Edge of Chaos Theory Unveils the First and Simplest Ever Reported Hodgkin–Huxley Neuristor
This manuscript presents the first and simplest ever‐reported electrical cell, which leverages one memristor on Edge of Chaos to reproduce the three‐bifurcation cascade, marking the entire life cycle from birth to extinction via All‐to‐None effect of an electrical spike, also referred to as Action Potential, across axon membranes under monotonic ...
Alon Ascoli+12 more
wiley +1 more source
Bifurcation Boundary Conditions for Switching DC-DC Converters Under Constant On-Time Control
Sampled-data analysis and harmonic balance analysis are applied to analyze switching DC-DC converters under constant on-time control. Design-oriented boundary conditions for the period-doubling bifurcation and the saddle-node bifurcation are derived. The
A Aroudi El+37 more
core +2 more sources
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
Critical phenomena in globally coupled excitable elements
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
Identifying early warning signals of cancer formation
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
Backward bifurcation and saddle-node bifurcation in virus-immune dynamics
Recently, Wang and Xu [ Appl. Math. Lett. 78 (2018) 105-111] studied thresholds and bi-stability in virus-immune dynamics. In this paper, we show there also exist backward bifurcation and saddle node bifurcation in this model. Our investigation demonstrates the existence of post-bifurcation phenomenon in the system when the immune strength was selected
Wang, Tengfei, Wang, Shaoli, Xu, Fei
openaire +2 more sources
Improved Gevrey‐1 Estimates of Formal Series Expansions of Center Manifolds
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