Results 61 to 70 of about 5,951,539 (329)

FMint: Bridging Human Designed and Data Pretrained Models for Differential Equation Foundation Model for Dynamical Simulation

Advanced Theory and Simulations, EarlyView.
FMint is introduced as a multi‐modal foundation model that integrates human‐designed solvers and data‐driven methods for fast, accurate simulation of dynamical systems. FMint leverages in‐context learning within a transformer‐based framework to refine coarse numerical solutions.
Zezheng Song, Jiaxin Yuan, Haizhao Yang
wiley   +1 more source

Bifurcation theory for the L-H transition in magnetically confined fusion plasmas

, 2012
The mathematical field of bifurcation theory is extended to be applicable to 1-dimensionally resolved systems of nonlinear partial differential equations, aimed at the determination of a certain specific bifurcation.
W. Weymiens, H. Blank, G. Hogeweij, Jc de Valença   +3 more
semanticscholar   +1 more source

Mechanochemistry: Fundamental Principles and Applications

Advanced Science, EarlyView.
In this review, the physicochemical principles of mechanochemistry are first clarified. Based on this foundation, the research basis and cutting‐edge scientific achievements in four areas are introduced: solid‐state organic chemistry, polymers, interface science, and biomechanochemistry.
Liang Dong, Luofei Li, Huiyan Chen, Yi Cao, Hai Lei   +4 more
wiley   +1 more source

Periodic orbits for an autonomous version of the Duffing–Holmes oscillator

Nonlinear Analysis
In the autonomous Duffing–Holmes oscillator, the existence of periodic orbits was detected numerically. Using the Hopf bifurcation theory, we prove analytically that such periodic orbits exist.
Guangfeng Dong, Jaume Llibre
doaj   +1 more source

Lecithin Alleviates Memory Deficits and Muscle Attenuation in Chinese Older Adults and SAMP8 Mice

Advanced Science, EarlyView.
This study opens a new avenue for safeguarding cognition and muscle health, averting disability in older age, and treating age‐related pathologies through lecithin supplementation. It serves as a promising nonpharmacological intervention for the crosstalk of muscle and cognition.
Xianyun Wang, Dajun Li, Xiao Ying Li, Weizhao Lu, Huini Ding, Chengyan Qi, Xuan Wang, Jing Shen, Yafei Chi, Tiantian Li, Michelle M. Dunk, Yu An, Hongmei Huang, Kang Yu, Weili Xu, Rong Xiao, Yuandi Xi   +16 more
wiley   +1 more source

The Modelling and Control of a Singular Biological Economic System in a Polluted Environment

Discrete Dynamics in Nature and Society, 2016
A singular biological economic model with harvesting and stage structure is presented. The local stability of equilibriums of the system is investigated when the economic profit parameter is zero, and the conditions of the singularity induced bifurcation
Yi Zhang, Yueming Jie, Xinyou Meng
doaj   +1 more source

Numerical bifurcation and hybrid control of a Gompertz model with time delay

Journal of Hebei University of Science and Technology, 2019
In order to study the stability of species, the biological systems are required to reduce or expand the stable region. For a Gompertz model with time delay, a hybrid control Euler method is proposed in which state feedback and parameter perturbation are ...
Jizhi SONG, Yuanyuan WANG
doaj   +1 more source

Epileptiform Activity and Seizure Risk Follow Long‐Term Non‐Linear Attractor Dynamics

Advanced Science, EarlyView.
This study leverages the HAVOK framework to model long‐term, nonlinear attractor dynamics underlying epileptiform activity and seizure risk in epilepsy patients. By identifying key forcing mechanisms driving chaotic transitions, the findings improve seizure risk forecasting over multi‐day cycles and provide a pathway for personalized, data‐driven ...
Richard E Rosch, Brittany Scheid, Kathryn A Davis, Brian Litt, Arian Ashourvan   +4 more
wiley   +1 more source

Stability and Hopf bifurcation periodic orbits in delay coupled Lotka-Volterra ring system

Open Mathematics, 2019
In this paper, we consider a class of delay coupled Lotka-Volterra ring systems. Based on the symmetric bifurcation theory of delay differential equations and representation theory of standard dihedral groups, properties of phase locked periodic ...
Su Rina, Zhang Chunrui
doaj   +1 more source

Neimark–Sacker bifurcation and stability analysis of a discrete-time prey–predator model with Allee effect in prey

Advances in Difference Equations, 2019
In this paper, the dynamical behaviors of a discrete-time prey–predator model with Allee effect on the prey population are investigated. The existence and topological classification of the fixed points of the model are analyzed.
Figen Kangalgil
doaj   +1 more source