Asymptotic Stability of Coupled Oscillators with Time-Dependent DampingSpringer Science and Business Media LLC - Tập 15 - Trang 553-573 - 2015
Jitsuro Sugie
The present paper is devoted to an investigation on the asymptotic stability for the damped oscillators with multiple degrees of freedom,
$$\begin{aligned} {\mathbf {x}}'' + h(t)\,{\mathbf {x}}' + A\,{\mathbf {x}} = {\mathbf {0}} \end{aligned}$$
a...... hiện toàn bộ
Nonholonomic systems and the geometry of constraintsSpringer Science and Business Media LLC - Tập 5 - Trang 247-259 - 2004
Marcelo H. Kobayashi, Waldyr M. Oliva
In a recent paper [9] we analyze conservation of volume for a series of examples of mechanical systems with linear, affine and non linear constraints aiming to make evident some geometric aspects related with them. Here, we only consider examples with linear constraints (defined by a constant rank distribution), in which we have conservation of volume. Conservation of volume means, equivalently, t...... hiện toàn bộ
Inverse Scattering Transform and Dynamics of Soliton Solutions for Nonlocal Focusing Modified Korteweg-de Vries EquationSpringer Science and Business Media LLC - - 2024
Xiao-Fan Zhang, Shou-Fu Tian, Jin-Jie Yang, Tian-Tian Zhang
The Riemann–Hilbert problem is developed to study the general N-soliton solution of the nonlocal modified Korteweg-de Vries equation in this work. The key to proving this result is the analysis of the Riemann–Hilbert problem related to the Cauchy problem of the nonlocal modified Korteweg-de Vries equation. The general N-soliton solution is acquired by solving the Riemann–Hilbert problem of the non...... hiện toàn bộ
Dynamical Behavior of a Stochastic Microorganism Flocculation Model with Nonlinear PerturbationSpringer Science and Business Media LLC - Tập 21 - Trang 1-19 - 2022
Xiaojie Mu, Daqing Jiang, Ahmed Alsaedi
Due to many uncertain factors, the microorganism flocculation models could be affected by environmental noise. The paper aims to discuss the dynamical behavior of a stochastic microorganism flocculation model, including the extinction and the persistence. Moreover, the expression of density function near the positive equilibrium point is explicitly obtained. Our results indicate that a larger whit...... hiện toàn bộ
An Open Set of Skew Products with Invariant Multi-graphs and Bony Multi-graphsSpringer Science and Business Media LLC - Tập 21 - Trang 1-28 - 2022
M. Rabiee, F. H. Ghane, M. Zaj
The main goal in this paper is to study attracting invariant multi-graphs for a certain class of skew products. An invariant multi-graph is an invariant compact set which is a finite union of invariant graphs, and thus consists of a finite number of points on each fiber. We introduce invariant bony multi-graphs and construct an open set of skew products over an invertible base map (solenoid map) h...... hiện toàn bộ
Fractional Evolution Equations with Nonlocal Initial Conditions and Superlinear Growth Nonlinear TermsSpringer Science and Business Media LLC - Tập 23 - Trang 1-26 - 2024
Pengyu Chen, Wei Feng
We investigate the existence of solutions for a class of fractional evolution equations with nonlocal initial conditions and superlinear growth nonlinear functions in Banach spaces. By using the compactness of semigroup generated by the linear operator, we neither assume any Lipschitz property of the nonlinear term nor the compactness of the nonlocal initial conditions. Moreover, the approximation...... hiện toàn bộ
On Sufficient Conditions of Stability of the Permanent Rotations of a Heavy Triaxial GyrostatSpringer Science and Business Media LLC - Tập 14 - Trang 265-280 - 2014
M. Teresa de Bustos Muñoz, Juan Luis García Guirao, Juan Antonio Vera López, Antonio Vigueras Campuzano
In this work using as a main tool geometric–mechanics methods we study the permanent rotations of a particular type of heavy triaxial gyrostat. Also, we obtain sufficient conditions of stability of the permanent rotations found previously through the Energy–Casimir method.
Limit Cycles of a Class of Discontinuous Planar Piecewise Linear Systems with Three Regions of Y-TypeSpringer Science and Business Media LLC - Tập 18 - Trang 1031-1054 - 2019
Qianqian Zhao, Jiang Yu
In this paper, we investigate the crossing limit cycles of a class of discontinuous planar piecewise linear dynamical systems with three regions of Y-type. We want to find the reason that cause the increase of the number of such limit cycles of the piecewise systems. We obtain the canonical form of such systems with focus–focus–focus type, and prove that the graph of Poincaré map of one of three s...... hiện toàn bộ
Analytical Traveling Wave and Soliton Solutions of the $$(2+1)$$ Dimensional Generalized Burgers–Huxley EquationSpringer Science and Business Media LLC - Tập 20 - Trang 1-23 - 2021
Temesgen Desta Leta, Wenjun Liu, Hadi Rezazadeh, Jian Ding, Abdelfattah El Achab
This paper employs the modified Kudryashov method, Riccati-Bernoulli sub-ODE method and the bifurcation methods to study a nonlinear
$$(2+1)$$
—dimensional generalised Burgers–Huxley equation in inhomogeneous dispersive medium to construct exact traveling wave solutions. By applying the Galilean wa...... hiện toàn bộ