Equilibrium stability of nonlinear elastic sphere with distributed dislocations
Sign Up to like & getrecommendations! Published in 2020 at "Continuum Mechanics and Thermodynamics"
DOI: 10.1007/s00161-020-00876-2
Abstract: An exact formulation and a solution of the stability problem for a three-dimensional elastic body containing distributed dislocations are given. The buckling phenomenon for a hollow nonlinear elastic sphere of the semi-linear (harmonic) material with… read more here.
Keywords: distributed dislocations; equilibrium stability; stability nonlinear; nonlinear elastic ... See more keywords
On the Asymptotic Stability for Nonlinear Oscillators with Time-Dependent Damping
Sign Up to like & getrecommendations! Published in 2018 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-018-0294-z
Abstract: The equation $$\begin{aligned} x''+h(t,x,x')x'+f(x)=0 \qquad (x\in \mathbb {R},\ xf(x)\ge 0,\ t\in [0,\infty )) \end{aligned}$$x′′+h(t,x,x′)x′+f(x)=0(x∈R,xf(x)≥0,t∈[0,∞))is considered, where the damping coefficient h allows an estimate $$\begin{aligned} a(t)|x'|^\alpha w(x,x')\le h(t,x,x')\le b(t) W(x,x'). \end{aligned}$$a(t)|x′|αw(x,x′)≤h(t,x,x′)≤b(t)W(x,x′).Sufficient conditions on the lower and… read more here.
Keywords: stability nonlinear; oscillators time; nonlinear oscillators; asymptotic stability ... See more keywords
Basins of Attraction and Stability of Nonlinear Systems’ Equilibrium Points
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DOI: 10.1007/s12591-019-00511-w
Abstract: The system of differential and operator equations is considered. This system is assumed to enjoy an equilibrium point. The Cauchy problem with the initial condition with respect to one of the desired functions is formulated.… read more here.
Keywords: stability nonlinear; equilibrium; basins attraction; nonlinear systems ... See more keywords
Equilibrium stability in a nonlinear cobweb model
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DOI: 10.1016/j.econlet.2020.109130
Abstract: Abstract We demonstrate existence, and stability under adaptive learning, of restricted perceptions equilibria in a nonlinear cobweb model. read more here.
Keywords: equilibrium stability; nonlinear cobweb; stability nonlinear; cobweb model ... See more keywords
Practical stability of nonlinear measure differential equations
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DOI: 10.1016/j.nahs.2018.05.010
Abstract: Abstract The paper investigates the practical stability of nonlinear measure differential equations. We first introduce the concepts of the practical stability and the practically asymptotic stability for measure differential equations. Then inspired by the proof… read more here.
Keywords: stability nonlinear; differential equations; practical stability; stability ... See more keywords
Exponential stability of nonlinear positive systems on time scales
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DOI: 10.1016/j.nahs.2019.02.011
Abstract: Abstract Positive uniform exponential stability of positive nonlinear systems on arbitrary time scales with bounded graininess function is studied. It is proved that linearization preserves positivity of systems. Then it is shown that positive uniform… read more here.
Keywords: positive uniform; stability; time scales; stability nonlinear ... See more keywords
Stability of nonlinear Dirac solitons under the action of external potential.
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DOI: 10.1063/5.0177392
Abstract: The instabilities observed in direct numerical simulations of the Gross-Neveu equation under linear and harmonic potentials are studied. The Lakoba algorithm, based on the method of characteristics, is performed to numerically obtain the two spinor… read more here.
Keywords: stability nonlinear; solitons action; action external; external potential ... See more keywords
Structural stability of nonlinear population dynamics.
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DOI: 10.1103/physreve.97.012401
Abstract: In population dynamics, the concept of structural stability has been used to quantify the tolerance of a system to environmental perturbations. Yet, measuring the structural stability of nonlinear dynamical systems remains a challenging task. Focusing… read more here.
Keywords: stability nonlinear; population dynamics; approach; stability ... See more keywords
Stability of nonlinear systems using optimal fuzzy controllers and its simulation by Java programming
Sign Up to like & getrecommendations! Published in 2019 at "IEEE/CAA Journal of Automatica Sinica"
DOI: 10.1109/jas.2017.7510388
Abstract: In this paper, at first, the single input rule modules ( SIRMs ) dynamically connected fuzzy inference model is used to stabilize a double inverted pendulum system. Then, a multi-objective particle swarm optimization ( MOPSO… read more here.
Keywords: using optimal; systems using; java programming; nonlinear systems ... See more keywords
Almost Sure Stability of Nonlinear Systems Under Random and Impulsive Sequential Attacks
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2020.2972220
Abstract: This article is concerned with the stability problem for a class of Lipschitz-type nonlinear systems in networked environments, which are suffered from random and impulsive deception attacks. The attack is modeled as a randomly destabilizing… read more here.
Keywords: random impulsive; sure stability; stability; almost sure ... See more keywords
Fixed-Time Stability of Nonlinear Systems With Destabilizing Delayed Impulses: Necessary and Sufficient Conditions
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Transactions on Circuits and Systems I: Regular Papers"
DOI: 10.1109/tcsi.2025.3550551
Abstract: This paper investigates the problem of fixed-time stability of nonlinear systems subject to destabilizing delayed impulses. The existing literature usually uses inequality-based techniques to deal with impulses and delays, which leads to considerable conservatism, especially… read more here.
Keywords: delayed impulses; time stability; fixed time; stability nonlinear ... See more keywords