Journals
- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Foundations of Data Science
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
-
AIMS Mathematics
-
Conference Publications
-
Electronic Research Announcements
-
Mathematics in Engineering
Open Access Journals
DCDS
In this paper, we consider the
boundedness of all the solutions and the existence of
quasi-periodic solutions for Duffing equations
$\frac{d^2x}{dt^2}+\arctan x=p(t),$
where $p(t+1)=p(t)$ is a smooth function.
CPAA
In this paper, we construct small amplitude quasi-periodic solutions
for one dimensional nonlinear Schrödinger equation
i$u_t=u_{x x}-mu-f(\beta t,x)|u|^2 u,$
with the boundary conditions
$u(t,0)=u(t,a\pi)=0, \ -\infty < t < \infty,$
where $m$ is real and $f(\beta t,x)$ is real analytic and quasi-periodic on $t$ satisfying the non-degeneracy condition
$\lim_{T\rightarrow\infty}\frac{1}{T}\int_0^Tf(\beta t,x)dt\equiv f_0=$ const., $\quad 0\ne f_0 \in\mathbb R,$
with $\beta\in\mathbb R^b$ a fixed Diophantine vector.
Year of publication
Related Authors
Related Keywords
[Back to Top]