Stability and control in spacecraft dynamics.
Stability of difference analogue of linear mathematical inverted pendulum.
Sur l'instabilité de l'équilibre dans certains cas où la fonction de forces n'est pas un maximum
Synchronization with error bound of non-identical forced oscillators
Synchronization with error bound of two non-identical forced oscillators is studied in the paper. By introducing two auxiliary autonomous systems, differential inequality technique and active control technique are used to deal with the synchronization of two non-identical forced oscillators with parameter mismatch in external harmonic excitations. Numerical simulations show the effectiveness of the proposed method.
Temporally Interruptive Interaction Allows Mutual Invasion of Two Competing Species Dispersing in Space
With a reaction-diffusion system, we consider the dispersing two-species Lotka-Volterra model with a temporally periodic interruption of the interspecific competitive relationship. We assume that the competition coefficient becomes a given positive constant and zero by turns periodically in time. We investigate the condition for the coexistence of two competing species in space, especially in the bistable case for the population dynamics without dispersion. We could find that the spatial coexistence,...
The averaging of nonlocal Hamiltonian structures in Whitham's method.
The dynamics of a levitated cylindrical permanent magnet above a superconductor.
When a permanent magnet is released above a superconductor, it is levitated. This is due to the Meissner-effect, i.e. the repulsion of external magnetic fields within the superconductor. In experiments, an interesting behavior of the levitated magnet can be observed: it might start to oscillate with increasing amplitude and some magnets even reach a continuous rotation. In this paper we develop a mathematical model for this effect and identify by analytical methods as well with finite element simulations...
The existence of limit cycle for perturbed bilinear systems
In this paper, the feedback control for a class of bilinear control systems with a small parameter is proposed to guarantee the existence of limit cycle. We use the perturbation method of seeking in approximate solution as a finite Taylor expansion of the exact solution. This perturbation method is to exploit the “smallness” of the perturbation parameter to construct an approximate periodic solution. Furthermore, some simulation results are given to illustrate the existence of a limit cycle for...
Three-dimensional periodic orbits and their stability
Torsional and longitudinal vibration of suspension bridge subject to aerodynamic forces.
Vector dissipativity theory for discrete-time large-scale nonlinear dynamical systems.
Замечание к устойчивости решений уравнения колебания стержня
Метод осреднения для слабо нелинейных операторных уравнений
О применении метода Н.Н. Боголюбова к некоторым многочастотным системам
Об одной обратной задаче для уравнения Хилла. Численные эксперименты
Об одном классе механических систем с диссипацией
Частотные условия автоколебаний в нелинейных системах с одной стационарной нелинейностью.