Results 91 to 100 of about 29,097,853 (357)
Phase diagram of the random frequency oscillator: The case of Ornstein-Uhlenbeck noise
, 2006 We study the stability of a stochastic oscillator whose frequency is a random process with finite time memory represented by an Ornstein-Uhlenbeck noise. This system undergoes a noise-induced bifurcation when the amplitude of the noise grows.
Anishchenko +49 more
core +3 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
wiley +1 more source
Российский технологический журнал, 2018 The paper proposes a numerical algorithm for constructing Lyapunov functions for investigating the absolute stability of nonlinear nonstationary systems.
V. P. Berdnikov
doaj +1 more source
Lyapunov functions for fractional-order systems in biology: Methods and applications [PDF]
Chaos, Solitons & Fractals, 2020 Adnane Boukhouima +5 more
semanticscholar +1 more source
On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley +1 more source
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 +2 more
wiley +1 more source
Predefined‐Time Dynamic Surface Control of Tank Horizontal Stabilization System With Disturbance
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Modern new tanks are difficult to achieve high precision control of the horizontal stabilization system due to electromechanical coupling and road surface disturbance during high‐speed combat. A predefined‐time dynamic surface controller (DSCPT) is proposed for the fast stabilization and strong disturbance problems of the tank horizontal ...
Zhicheng Fan +5 more
wiley +1 more source
Моделирование и анализ информационных систем, 2019 We consider the computational implementation of the algorithm for Lyapunov exponents spectrum numerical estimation for delay differential equations. It is known that for such systems, as well as for boundary value problems, it is not possible to prove ...
Vladimir E. Goryunov
doaj +1 more source
DESCRIPTOR DISCRETIZED LYAPUNOV FUNCTIONAL METHOD
IFAC Proceedings Volumes, 2006 Abstract Stability and state-feedback stabilization of linear systems with constant delays are considered. The system under consideration may be unstable without delay, but it becomes asymptotically stable for positive values of the delay. A new descriptor discretized Lyapunov Krasovskii Functional (LKF) method is introduced, which combines the ...
openaire +1 more source
Variational lyapunov method for discrete hybrid systems
Mathematical and Computer Modelling, 2003 This paper deals with the initial value problem \(\Delta y(n)=f(n,y(n))\), \(y(n_0)=y_0\). In their paper [Appl. Anal. 83, 363--376 (2004; Zbl 1055.39006)], the authors present the nonlinear variation of parameter (NVP) formula. Here they offer its improved version where the smoothness condition on \(f\) with respect to \(y\) is relaxed. In addition, a
Dontha, S., Drici, Z.
openaire +2 more sources