512 citations
- Argonne National LaboratoryUS6 papers
- University of California, Santa BarbaraUS6 papers
- Fermi National Accelerator LaboratoryUS5 papers
- University of MichiganUS5 papers
- Dartmouth CollegeUS4 papers
- Dartmouth HospitalGB4 papers
- Iowa State UniversityUS4 papers
- Northwestern UniversityUS4 papers
- Ohio UniversityUS4 papers
- Ruhr University BochumDE4 papers
- University of ArizonaUS4 papers
- University of Central FloridaUS4 papers
8 papers · 1 filter
Quasiperiodic Spectra and Orthogonality for Iterated Function System Measures
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We extend classical basis constructions from Fourier analysis to attractors for affine iterated function systems (IFSs). This is of interest since these attractors have fractal fea…
Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities
Hongbin Chen, Yi Li
We study the stability and exact multiplicity of periodic solutions of the Duffing equation with cubic nonlinearities. We obtain sharp bounds for h such that the equation has exact…
Rate of Decay of Stable Periodic Solutions of Duffing Equations
Hongbin Chen, Yi Li
In this paper, we consider the second-order equations of Duffing type. Bounds for the derivative of the restoring force are given that ensure the existence and uniqueness of a peri…
A non-MRA frame wavelet with rapid decay
Lawrence Baggett, Palle Jorgensen, Kathy Merrill +1
A generalized filter construction is used to build an example of a non-MRA normalized tight frame wavelet for dilation by 2 in . This example has the same multiplic…
Construction of Parseval wavelets from redundant filter systems
L. W. Baggett, P. E. T. Jorgensen, K. D. Merrill +1
We consider wavelets in L^2(R^d) which have generalized multiresolutions. This means that the initial resolution subspace V_0 in L^2(R^d) is not singly generated. As a result, the…
Iterated function systems, representations, and Hilbert space
Palle E. T. Jorgensen
This paper studies a general class of Iterated Function Systems (IFS). No contractivity assumptions are made, other than the existence of some compact attractor. The possibility of…