| 1. | Existence of analytic invariant curves for a planar mapping near resonance
一类平面映射在共振点附近的解析不变曲线的存在性 |
| 2. | In this paper the deformation invariant curve matching problem is addressed
图像畸变下的形状匹配和识别问题是计算机识别的根本问题之一。 |
| 3. | The numerical simulations demonstrate that there is a quasi - periodic rotation on the invariant curve when the coupling coefficient e is small enough
数值计算表明当空间耦合强度足够小且限制在某些范围内时，系统在不变圈上是拟周期运动。 |
| 4. | We use the poincare - andronov - hopf bifurcation theorem to prove that there is an invariant curve in the center manifold when the coupling coefficient e is small enough
利用poincar - andronov - hopf分支定理证明系统有弱空间耦合时在中心流形上存在不变圈。 |
| 5. | In the study of the lagrange stability of impact motion , we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded . outside of a large disc , using the symplectic transformation of the hamilton system to estimate the iteration of the successor map . applying the moser ' s small twist theorem , we get the invariant curves and then give the proof of the bouncing solutions which is bounded
在碰撞运动的lagrange稳定性的讨论中，给出了渐近线性方程碰撞解有界或无界的条件，在充分大的圆盘外，通过hamilton系统的辛坐标变换的角度平均来估计后继映射的迭代，应用moser小扭转定理得到不变曲线从而给出在一定条件下碰撞解有界的证明，碰撞解无界性的证明将采用直接估计后继映射的方法给出。 |
| 6. | Existence , uniqueness and continuous dependence of c0 solutions for an iterative functional equation related to invariant curves of functional differential equations with piecewise constant arguments are given under weaker conditions than that known results of c1 solutions . symmetry is also considered so that some obtained results are generalized to rn
本章首先讨论了与逐段常时滞泛函微分方程不变曲线有关的一类迭代函数方程的连续解的存在唯一性和连续依赖性，不但弱化了已有结果的c ~ 1光滑性的条件，还讨论了连续解的对称性，并根据对称性将一些结果推进到高维。 |
