Zobrazeno 1 - 10
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pro vyhledávání: '"Yingfei Yi"'
Autor:
Yingfei Yi, Wen Si
Publikováno v:
Annales Henri Poincaré. 23:333-360
For a quasi-periodically forced differential equation, response solutions are quasi-periodic ones whose frequency vector coincides with that of the forcing function and they are known to play a fundamental role in the harmonic and synchronizing behav
Publikováno v:
Journal of Dynamics and Differential Equations. 34:3089-3129
We consider a class of one-dimensional absorbed diffusion processes with small singular noises that exhibit multi-scale dynamics in the sense that typical trajectories of the solution process first quickly approach to transient states, captured by qu
Publikováno v:
SIAM Journal on Mathematical Analysis. 53:1958-1992
The present paper is devoted to the study of convergence of solutions of a Fokker--Planck equation (FPE) associated to a periodic stochastic differential equation with less regular coefficients und...
Publikováno v:
Journal of Dynamics and Differential Equations. 34:271-310
In this paper, we consider the following one-dimensional, quasi-periodically forced, linear KdV equations $$\begin{aligned} u_t+(1+ a_{1}(\omega t)) u_{xxx}+ a_{2}(\omega t,x) u_{xx}+ a_{3}(\omega t,x)u_{x} +a_{4}(\omega t,x)u=0 \end{aligned}$$ under
Autor:
Wen Si, Yingfei Yi
Publikováno v:
Nonlinearity. 33:6072-6098
We consider the existence of responsive tori for the completely degenerate Hamiltonian system with the following Hamiltonian which is associated with the standard symplectic structure, where λ = ±1 and n > 2, n ≥ m ≥ 2 are integers. With P sati
Publikováno v:
Physica D: Nonlinear Phenomena. 399:73-85
We consider an Ito stochastic differential equation and study the asymptotic behaviors of stationary measures of the corresponding Fokker–Planck equation in the vicinity of a deterministic attractor or a repeller. By establishing global measure est
Publikováno v:
Journal of Mathematical Physics. 63:082703
We consider the parameterized Newton’s cradle lattice with Hertzian interactions in this paper. The positive parameters are { β n : | n| ≤ b} with a fixed integer b ≥ 0, and the Hertzian potential is [Formula: see text] for a fixed real number
Publikováno v:
Proceedings of the American Mathematical Society. 147:5209-5225
The present study aims to find connections between two types of entropy production rates for continuous dynamical systems, one defined in the general dissipation context and the other one defined in a thermodynamics context. On one hand, the entropy
Autor:
Yingfei Yi, Lu Xu
Publikováno v:
Nonlinearity. 32:2226-2245
We consider a general canonical form of a multi-scale Hamiltonian system near a family of unperturbed lower dimensional, quasi-periodic, invariant tori, in which tangential and normal frequencies can admit equal or different scales. Extending works o
Autor:
Yingfei Yi, Shangbing Ai
Publikováno v:
Journal of Dynamics and Differential Equations.
We characterize a criterion for the existence of relaxation oscillations in planar systems of the form $$\begin{aligned} \frac{du}{dt}= u^{k+1} g(u,v,\varepsilon ), \qquad \frac{dv}{dt}=\varepsilon f(u,v,\varepsilon ) + u^{k+1} h(u,v,\varepsilon ), \