Results 81 to 90 of about 37,142 (217)

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

The Ψ–Asymptotic Equivalence of the Lyapunov Matrix Differential Equations with Integral Term as Right Side and Modified Argument

Annals of West University of Timisoara - Mathematics and Computer Science, 2022
Abstract Using the notion of strict h-contraction, existence results for Ψ-asymptotic equivalence of two pairs of (Lyapunov) matrix differential equations with integral term as right side and modified argument are given.
openaire   +2 more sources

Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal, Ana Jacinta Soares, Maria Joana Torres   +2 more
wiley   +1 more source

Robust H∞ Control for a Class of Nonlinear Distributed Parameter Systems via Proportional-Spatial Derivative Control Approach

Abstract and Applied Analysis, 2014
This paper addresses the problem of robust H∞ control design via the proportional-spatial derivative (P-sD) control approach for a class of nonlinear distributed parameter systems modeled by semilinear parabolic partial differential equations (PDEs).
Cheng-Dong Yang, Jianlong Qiu, Jun-Wei Wang   +2 more
doaj   +1 more source

Finite‐Time Disturbance Observer‐Based Nonlinear Robust Adaptive Control of Hydraulic Manipulator With Parameter Identification

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Hydraulic manipulators exhibit strong coupling, pronounced nonlinearities, and significant modeling uncertainties, which hinder high‐precision motion control. This paper proposes a finite‐time disturbance observer–based nonlinear robust adaptive control (RAC‐FTDO) framework enhanced by a physically consistent dynamic parameter identification ...
Tianyu Gao, Xianglong Liang, Wenxiang Deng, Jianyong Yao   +3 more
wiley   +1 more source

Exponential synchronization of dynamical complex networks via random impulsive scheme

Nonlinear Analysis
This paper investigates the synchronization of a complex network based on a class of random impulsive differential equation systems. Based on the random impulsive strategy of Poisson distribution, a random impulsive dynamical network model is ...
Bowen Zhou, Xiao-Bao Shu, Fei Xu, Fengyu Yang, Ya Wang   +4 more
doaj   +1 more source

Solving the differential biochemical Jacobian from metabolomics covariance data.

PLoS ONE, 2014
High-throughput molecular analysis has become an integral part in organismal systems biology. In contrast, due to a missing systematic linkage of the data with functional and predictive theoretical models of the underlying metabolic network the ...
Thomas Nägele, Andrea Mair, Xiaoliang Sun, Lena Fragner, Markus Teige, Wolfram Weckwerth   +5 more
doaj   +1 more source

A Comprehensive Multistage Average Controller for Trajectory Tracking in Solar‐Powered Mobile Robots: Analysis of Actuator‐Driver and Power Stage Integration

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This work addresses the challenge of bidirectional trajectory tracking in solar‐powered wheeled mobile robots (WMRs), considering the mechanical structure, actuator‐driver, and power stage subsystems. Notably, this is the first study to explicitly model and control the actuator‐driver subsystem within this context. The proposed solution relies
Benjamin Natanael Santiago‐Nogales, Julio Cesar Ordaz‐Dehesa, Ramón Silva‐Ortigoza, Erik Reyes‐Reyes, J. Martín Alba‐Martínez, Juan Eduardo Velázquez‐Velázquez, José Rafael García‐Sánchez, Magdalena Marciano‐Melchor, Hind Taud   +8 more
wiley   +1 more source

A pilot variational coupled reanalysis based on the CESAM climate model

Quarterly Journal of the Royal Meteorological Society, EarlyView.
Variational data assimilation of in‐situ and satellite ocean data and reanalysis atmospheric data into an intermediate complexity Earth system model is possible by adjusting the surface fluxes and internal model parameters. This pilot application requires nearly complete information on the atmospheric state for synchronization.
Armin Köhl, Iuliia Polkova, Guokun Lyu, Frank Lunkeit, Abhirup Banerjee, Silke Schubert, Detlef Stammer   +6 more
wiley   +1 more source

Asymptotic Behaviour of a Two-Dimensional Differential System with a Finite Number of Nonconstant Delays under the Conditions of Instability

Abstract and Applied Analysis, 2012
The asymptotic behaviour of a real two-dimensional differential system ∑𝑥′(𝑡)=𝖠(𝑡)𝑥(𝑡)+𝑚𝑘=1𝖡𝑘(𝑡)𝑥(𝜃𝑘(𝑡))+ℎ(𝑡,𝑥(𝑡),𝑥(𝜃1(𝑡)),…,𝑥(𝜃𝑚(𝑡))) with unbounded nonconstant delays 𝑡−𝜃𝑘(𝑡)≥0 satisfying lim𝑡→∞𝜃𝑘(𝑡)=∞ is studied under the assumption of instability.
Zdeněk Šmarda, Josef Rebenda
doaj   +1 more source