Periodically perturbed conservative systems
نویسندگان
چکیده
منابع مشابه
Non-conservative ultimate bound estimation in LTI perturbed systems
A closed formula for ultimate bound estimation in LTI systems with non–vanishing perturbations is presented. The formula, based on geometrical properties of the system, provides an alternative to Lyapunov’s second method based study. Although it is not proven that the bound obtained is always less conservative than the Lyapunov’s bound, some examples are introduced where the estimations are sig...
متن کاملInvariant Tori for Periodically Perturbed Oscillators
The response of an oscillator to a small amplitude periodic excitation is discussed. In particular, sufficient conditions are formulated for the perturbed oscillator to have an invariant torus in the phase cylinder. When such an invariant torus exists, some perturbed solutions are in the basin of attraction of this torus and are thus entrained to the dynamical behavior of the perturbed system o...
متن کاملStability for quasi-periodically perturbed Hill’s equations
We consider a perturbed Hill’s equation of the form φ̈ + (p0(t) + εp1(t))φ = 0, where p0 is real analytic and periodic, p1 is real analytic and quasi-periodic and ε ∈ R is “small”. Assuming Diophantine conditions on the frequencies of the decoupled system, i.e. the frequencies of the external potentials p0 and p1 and the proper frequency of the unperturbed (ε = 0) Hill’s equation, but without ma...
متن کاملResonant motions in the presence of degeneracies for quasi-periodically perturbed systems
We consider one-dimensional systems in the presence of a quasi-periodic perturbation, in the analytical setting, and study the problem of existence of quasi-periodic solutions which are resonant with the frequency vector of the perturbation. We assume that the unperturbed system is locally integrable and anisochronous, and that the frequency vector of the perturbation satisfies the Bryuno condi...
متن کاملChaos in Periodically Perturbed Monopole + Quadrupole Like Potentials
The motion of a particle that suffers the influence of simple inner (outer) periodic perturbations when it evolves around a center of attraction modeled by an inverse square law plus a quadrupole-like term is studied. The equations of motion are used to reduce the Melnikov method to the study of simple graphics.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1974
ISSN: 0022-0396
DOI: 10.1016/0022-0396(74)90006-0