Results 81 to 90 of about 2,013,353 (284)

Almost periodic solutions of second-order neutral delay–differential equations with piecewise constant arguments [PDF]

, 2004
In this paper, we present an existence theorem of almost periodic solutions of second-order neutral delay–differential equations with piecewise constant arguments of the form (x(t)+x(t−1))″=qx([t])+f(t), where [·] denotes the greatest integer function, q
Li, Hong-Xu
core   +1 more source

Nonreciprocal Swarmalators With Reconfigurable and Controllable Formations for Robot Collectives

Advanced Robotics Research, EarlyView.
Nonreciprocal swarmalator interactions are enabled through control barrier functions to transform self‐organizing robot collectives into reconfigurable, constraint‐aware systems. Complex two‐ and three‐dimensional shapes, continuous morphing, obstacle‐aware navigation, collective splitting, and object transport emerge from modulating agent‐level ...
Kush Patel, Xinyue Xu, Wei Xiao, Steven Ceron   +3 more
wiley   +1 more source

Existence of Periodic Solutions in a Discrete Predator-Prey System with Beddington-DeAngelis Functional Responses

International Journal of Mathematics and Mathematical Sciences, 2011
A discrete predator-prey model with Holling II and Beddington-DeAngelis functional responses is investigated. With the aid of differential equations with piecewise constant arguments, a discrete version of continuous nonautonomous delayed predator-prey ...
Changjin Xu, Maoxin Liao
doaj   +1 more source

Physics‐Embedded Neural Network: A Novel Approach to Design Polymeric Materials

Advanced Science, EarlyView.
Traditional black‐box models for polymer mechanics rely solely on data and lack physical interpretability. This work presents a physics‐embedded neural network (PENN) that integrates constitutive equations into machine learning. The approach ensures reliable stress predictions, provides interpretable parameters, and enables performance‐driven, inverse ...
Siqi Zhan, Hengheng Zhao, Haotian Wang, Zhanjie Liu, Qian Li, Weifeng Zhang, Qingsong Zhao, Liqun Zhang, Jun Liu   +8 more
wiley   +1 more source

Some properties of solutions of α-conformable differential equations with piecewise constant arguments: existence and uniqueness, asymptotic stability, oscillation and periodicity

Mathematical Modelling and Analysis
Conformable differential equations, based on the recently introduced conformable derivative, represent a novel and increasingly popular class of differential equations.
Huseyin Bereketoglu, Huda Al Obaidi, M. Emre Kavgaci, Gizem S. Oztepe   +3 more
doaj   +1 more source

Neimark–Sacker bifurcation of a chemotherapy treatment of glioblastoma multiform (GBM)

Advances in Difference Equations, 2019
In this paper, we propose a system of differential equations with piecewise constant arguments to describe the growth of GBM under chemotherapeutic treatment and the interaction among the glial cells, the cancer cells, and the chemotherapeutic agents. In
F. Bozkurt, A. Yousef
doaj   +1 more source

A Closed‐Loop Framework for Inverse Design: Dynamic Training and Intelligent Optimization for Heterostructured Materials

Advanced Science, EarlyView.
To accelerate the inverse design of heterostructured metal matrix composites, a closed‐loop scientific machine learning framework integrates continual learning prediction with NSGA‐II‐PMCP optimization. The framework maps microstructural descriptors to strength, toughness, and modulus, expands high‐quality Pareto solutions, and guides experimentally ...
Zhiyan Zhong, Xueru Zheng, Xiao Zhou, Zhengheng Tao, Wan Han, Jingyi Pan, Dian Wu, Ning Gao, Lei Liu, Zhongyang Wang, Fanchao Meng, Tongxiang Fan   +11 more
wiley   +1 more source

Computation and Structure‐Guided Arginine Scanning Engineers a Hyperactive AP Endonuclease for Multiplex Viral RNA Sensing

Advanced Science, EarlyView.
Computational and structure‐guided arginine scanning rewires the DNA‐binding interface of APE1 to create APE1‐Evo, a hyperactive yet specific AP endonuclease. Integrated into the NAPTUNE‐V2.0 cascade, APE1‐Evo enables amplification‐free, multiplex viral RNA sensing for dengue virus and influenza A/B, highlighting a general strategy for engineering ...
Junlan Wang, Ting Wu, Feizuo Wang, Boyang Wang, Xin Yu Wong, Senfeng Zhang, Shengsheng Ma, Yao Liu, Fangyao Yao, Zhifeng Zeng, Siyuan Yang, Kunming Liu, Qi Wang, Yilong Wang, Yunxiang Zang, Xiaolong Wang, Xingxu Huang, Shao Li, Quanquan Ji, Tao Hu, Chunyi Hu   +20 more
wiley   +1 more source

Global asymptotic stability beyond 3/2 type stability for a logistic equation with piecewise constant arguments [PDF]

, 2010
In this paper, a logistic equation with multiple piecewise constant arguments is investigated in detail. We generalize the approach in two papers, [K. Uesugi, Y. Muroya, E.
Yukihiko Nakata, Nakata Y., Nakata, Y.
core   +1 more source

Stochastic Entanglement of Deterministic Origami Tentacles For Robust Robotic Grasping

Advanced Science, EarlyView.
This study introduces an origami tentacle gripper to robustly grasp objects‐in air, underwater, and even in orbital space‐by exploiting a synergy between local, deterministic deformation programming and global, stochastic entanglements. A single origami tentacle can be designed to coil with a simple tendon pull.
Alec Boron, Bokun Zheng, Ziyang Zhou, Noel Naughton, Suyi Li   +4 more
wiley   +1 more source