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On Hausdorff dimension of oscillatory motions in three body problems
Hausdorff dimension oscillatory motions three body problems
2015/9/25
We show that for the Sitnikov example and for the restricted planar circular 3–body problem the set of oscillatory motions often has maximal Hausdorff dimension. Also, we construct Newhouse domains fo...
Wave atoms and sparsity of oscillatory patterns
Wave atoms Image processing Texture Oscillatory Warping Diffeomorphism
2015/7/14
We introduce “wave atoms” as a variant of 2D wavelet packets obeying the parabolic scaling wavelength ～ (diameter)2. We prove that warped oscillatory functions, a toy model for texture, have a signifi...
Integration of Highly Oscillatory Problems Through G-Functions
Numerical solutions of ODE's Highly accurate solutions Highly oscillatory problems
2008/11/10
Perturbed harmonic oscillators describe many models in physics and engineering. A method for solving this type of problem is based on the utilization of Scheifele's functions, consisting of a refineme...
Some bounds for certain highly oscillatory integrals
Oscillatory integrals Filon method error bounds
2010/9/10
The classic standard integration rules usually give inaccurate results for highly oscillatory integrals of the form ∞1 tr−1f(t) sin (αtr)dt, r ≥ 1, where f is any real valued function in C1[1,∞...
BOUNDEDNESS,ASYMPTOTIC BEHAVIOR AND OSCILLATORY PROPERTIES FOR THE MODELS OF SINGLE-SPECIES POPULATION GROWTH WITH IMPULSIVE EFFECT
Impulse differential equations
2007/12/11
In this paper, we obtain the boundedness, asymptotic behavior and oscillatory properties for the single logistic models with impulse effect. Some examples are given to indicate the application of our ...
Some Oscillatory Singular Integrals on Herz-type Spaces (II)
oscillatory singular integral phase lebesgue space
2007/12/10
In this paper, the authors prove that some oscillatory singular integral operators of non-convolution type with non-polynomial phases are bounded from the Herz-type Hardy spaces to the Herz spaces and...
We consider many-body problems in classical mechanics where a wide range of time scales limits what can be computed. We apply the method of optimal prediction to obtain equations which are easier to s...