Hamiltonian systems with widely separated frequencies
نویسندگان
چکیده
منابع مشابه
Hamiltonian Systems with Widely Separated Frequencies
In this paper we study two degree of freedom Hamiltonian systems and applications to nonlinear wave equations. Near the origin, we assume that near the linearized system has purely imaginary eigenvalues: i! 1 and i! 2 , with 0 < ! 2 =! 1 1 or ! 2 =! 1 1, which is interpreted as a perturbation of a problem with double zero eigenvalues. Using the averaging method, we compute the normal form and s...
متن کاملWidely Separated Frequencies in Coupled Oscillators with Energy-preserving Quadratic Nonlinearity
In this paper we present an analysis of a system of coupled oscillators suggested by atmospheric dynamics. We make two assumptions for our system. The first assumption is that the frequencies of the characteristic oscillations are widely separated and the second is that the nonlinear part of the vector field preserves the distance to the origin. Using the first assumption, we prove that the red...
متن کاملReliable Feature Matching across Widely Separated Views
In this paper we present a robust method for automatically matching features in images corresponding to the same physical point on an object seen from two arbitrary viewpoints. Unlike conventional stereo matching approaches we assume no prior knowledge about the relative camera positions and orientations. In fact in our application this is the information we wish to determine from the image fea...
متن کاملTerrain Reconstruction from Widely Separated Images
When a terrain elevation map is computed from widely separated images the perspective distortion may result in a large number of false matches and poor reconstruction accuracy. This paper describes three image matching algorithms designed speciically to process images taken with large base-to-height ratios. They include a new match score, a subpixel interpolation scheme, and a multi-resolution ...
متن کاملImage-Based Visualization from Widely-Separated Views
This report describes image-based visualization research in support of video surveillance and monitoring systems. Our primary goal is to develop methods so a user can interactively visualize a 3D environment from images captured by a set of widely-separated cameras. Results include view interpolation of dynamic scenes, coarse-tone voxel coloring for eecient scene reconstruction, and recovering ...
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: Nonlinearity
سال: 2003
ISSN: 0951-7715
DOI: 10.1088/0951-7715/16/2/319