Results 101 to 110 of about 26,001 (267)

Homoclinic Saddle-Node Bifurcations and Subshifts in a Three-Dimensional Flow [PDF]

Archive for Rational Mechanics and Analysis, 1998
The authors study differential equations \(X_\varepsilon\) on \({\mathbb{R}}^3\) that, for \(\varepsilon = 0\), possess a line \(\Gamma\) of equilibria connected by a manifold of homoclinic loops. Such a study was started in \textit{A. Doelman} and \textit{P. Holmes} [Philos. Trans. R. Soc. Lond., Ser. A 354, 845-893 (1996; Zbl 0881.58044)] and \textit{
Hek, G., Doelman, A., Holmes, P.
openaire   +7 more sources

Edge of Chaos Theory Unveils the First and Simplest Ever Reported Hodgkin–Huxley Neuristor

Advanced Electronic Materials, Volume 11, Issue 8, June 2025.
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, Ahmet Samil Demirkol, Ioannis Messaris, Vasilis Ntinas, Dimitris Prousalis, Stefan Slesazeck, Thomas Mikolajick, Fernando Corinto, Michele Bonnin, Marco Gilli, Pier Paolo Civalleri, Ronald Tetzlaff, Leon Chua   +12 more
wiley   +1 more source

Using Nyquist or Nyquist-Like Plot to Predict Three Typical Instabilities in DC-DC Converters

, 2012
By transforming an exact stability condition, a new Nyquist-like plot is proposed to predict occurrences of three typical instabilities in DC-DC converters.
Al-Mothafar, Boiko, Chung-Chieh Fang, El Aroudi, Erickson, Fang, Fang, Fang, Fang, Fang, Giaouris, Hamill, Kazimierczuk, Kuo, Kuznetsov, Lee, Lehman, Maksimovic, Redl, Ridley, Tan, Tse, van der Woude, Wolf, Yuan   +24 more
core   +1 more source

Dynamics of a modified Leslie-Gower predator-prey model with double Allee effects

Mathematical Biosciences and Engineering
In this paper, we investigate the dynamic behavior of a modified Leslie-Gower predator-prey model with the Allee effect on both prey and predator. It is shown that the model has at most two positive equilibria, where one is always a hyperbolic saddle and
Mengyun Xing, Mengxin He, Zhong Li
doaj   +1 more source

Dynamics of a delay Schistosomiasis model in snail infections

Mathematical Biosciences and Engineering, 2011
In this paper we modify and study a system of delay differential equations model proposed by Nåsell and Hirsch (1973) for the transmission dynamics of schistosomiasis. The modified stochastic version of MacDonald’s model takes into account the time delay
Chunhua Shan, Hongjun Gao, Huaiping Zhu
doaj   +1 more source

EVALUATION OF VOLTAGE STABILITY DYNAMIC LOADING MARGIN CONSIDERING THE EFFECT OF LOAD MODELS, EXCITATION SYSTEM PARAMETERS AND REACTIVE POWER GENERATION LIMITS OF GENERATORS WITH A COMBINATION METHOD [PDF]

مجله مدل سازی در مهندسی, 2010
Nowadays, Voltage stability is an important types of power system stabilities. To analysis of voltage stability, different static and dynamic boundaries such as maximum Loadability point (MLP) and bifurcation points such as saddle node bifurcation (SNB),
نیما Amjady, محمد حسین Velayati   +1 more
doaj   +1 more source

Time‐Multiplexed Reservoir Computing with Quantum‐Dot Lasers: Impact of Charge‐Carrier Scattering Timescale

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, Lina Jaurigue, Kathy Lüdge   +2 more
wiley   +1 more source

Bifurcation Boundary Conditions for Switching DC-DC Converters Under Constant On-Time Control

, 2012
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, A Eisinberg, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, C-C Fang, Chung-Chieh Fang, CK Tse, CP Basso, D Cafagna, DC Hamill, E Fossas, F Angulo, FCY Lee, FD Tan, GC Verghese, J Li, J Li, J Sun, J Wang, JW Woude van der, M-F Danca, R Redl, RB Ridley, RW Erickson, SK Mazumder, T Qian, W Tang, Y-C Lin, YA Kuznetsov   +37 more
core   +2 more sources

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, Wenbo Li, Xiaona Fang, Jin Wang   +3 more
wiley   +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