A5022360238- Quantum chaos and dynamical systems
- Mathematical Dynamics and Fractals
- Chaos control and synchronization
- Nonlinear Dynamics and Pattern Formation
- Advanced Differential Equations and Dynamical Systems
- Complex Systems and Time Series Analysis
- Genomics and Phylogenetic Studies
- Numerical methods for differential equations
- Theoretical and Computational Physics
- Meteorological Phenomena and Simulations
- Nonlinear Differential Equations Analysis
- Mathematical and Theoretical Epidemiology and Ecology Models
- Differential Equations and Numerical Methods
- Climate variability and models
- Scientific Research and Discoveries
- Stability and Controllability of Differential Equations
- Chromosomal and Genetic Variations
- RNA and protein synthesis mechanisms
- Geometric and Algebraic Topology
- Advanced Mathematical Modeling in Engineering
- COVID-19 epidemiological studies
- Matrix Theory and Algorithms
- Computational Physics and Python Applications
- advanced mathematical theories
- Stochastic processes and statistical mechanics
University of Maryland, College Park
2015-2024
Physical Sciences (United States)
1992-2024
University of Wyoming
2016
Stockton University
2008
Courant Institute of Mathematical Sciences
2005
University of Utah
1975-2004
University of Minnesota
1997
Colorado State University
1997
American Institute of Physics
1997
University of Potsdam
1996
It is shown that one can convert a chaotic attractor to any of large number possible attracting time-periodic motions by making only small time-dependent perturbations an available system parameter. The method utilizes delay coordinate embedding, and so applicable experimental situations in which priori analytical knowledge the dynamics not available. Important issues include length transient preceding periodic motion, effect noise. These are illustrated with numerical example.
One-Dimensional Maps.- Two-Dimensional Chaos.- Fractals.- Chaos in Chaotic Attractors.- Differential Equations.- Periodic Orbits and Limit Sets.- Stable Manifolds Crises.- Bifurcations.- Cascades.- State Reconstruction from Data.
Second-generation sequencing technologies produce high coverage of the genome by short reads at a low cost, which has prompted development new assembly methods. In particular, multiple algorithms based on de Bruijn graphs have been shown to be effective for problem. this article, we describe hybrid approach that computational efficiency graph methods and flexibility overlap-based strategies, allows variable read lengths while tolerating significant level error. Our method transforms large...
The evolutionary importance of hybridization and introgression has long been debated. Hybrids are usually rare unfit, but even infrequent can aid adaptation by transferring beneficial traits between species. Here we use genomic tools to investigate in Heliconius, a rapidly radiating genus neotropical butterflies widely used studies ecology, behaviour, mimicry speciation. We sequenced the genome Heliconius melpomene compared it with other taxa chromosomal evolution Lepidoptera gene flow among...
Abstract Background The genome of the domestic cow, Bos taurus , was sequenced using a mixture hierarchical and whole-genome shotgun sequencing methods. Results We have assembled 35 million sequence reads applied variety assembly improvement techniques, creating an 2.86 billion base pairs that has multiple improvements over previous assemblies: it is more complete, covering genome; thousands gaps been closed; many erroneous inversions, deletions, translocations corrected; single-nucleotide...
Abstract The whole-genome duplication 80 million years ago of the common ancestor salmonids (salmonid-specific fourth vertebrate duplication, Ss4R) provides unique opportunities to learn about evolutionary fate a duplicated genome in 70 extant lineages. Here we present high-quality assembly for Atlantic salmon ( Salmo salar ), and show that large genomic reorganizations, coinciding with bursts transposon-mediated repeat expansions, were crucial post-Ss4R rediploidization process. Comparisons...
The occurrence of sudden qualitative changes chaotic (or "turbulent") dynamics is discussed and illustrated within the context one-dimensional quadratic map. For this case, region can suddenly widen or disappear, cause properties these phenomena are investigated.
In this paper, we introduce a new, local formulation of the ensemble Kalman filter approach for atmospheric data assimilation. Our scheme is based on hypothesis that, when Earth’s surface divided up into regions moderate size, vectors forecast uncertainties in such tend to lie subspace much lower dimension than that full state vector region. Ensemble filters, general, take analysis resulting from assimilation same as expected error. Under our corresponding low. This used allow operations...
New sequencing technology has dramatically altered the landscape of whole-genome sequencing, allowing scientists to initiate numerous projects decode genomes previously unsequenced organisms. The lowest-cost can generate deep coverage most species, including mammals, in just a few days. sequence data generated by one these consist millions or billions short DNA sequences (reads) that range from 50 150 nt length. These must then be assembled de novo before genome analyses begin....
We consider three types of changes that attractors can undergo as a system parameter is varied. The first type leads to the sudden destruction chaotic attractor. second widening In third change, which applies for many systems with symmetries, two (or more) merge form single attractor and merged be larger in phase-space extent than union before change. All these are termed crises accompanied by characteristic temporal behavior orbits after crisis. For case where destroyed, this existence...
A class of piecewise continuous, C transformations on the interval [O, l] is shown to have absolutely continuous invariant measures.