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Orbit Dynamics, Stability and Chaos in Planetary Systems
Let us start with a problem of dynamical biology, which was posed about 800 years ago by Fibonacci1
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Collision Free Motion Planning on Graphs
A topological theory initiated in [4,5] uses methods of algebraic topology to estimate numerically the character of instabilities arising in motion...
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Computing Protein Structures from Electron Density Maps: The Missing Fragment Problem
Rapid protein structure determination relies greatly on the availability of software that can automatically generate a protein model from an...
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Aerothermodynamics, Nonlinear Acoustics and the Meteorological Equations
The study of low-Mach-number flows occurs in the general context of asymptotic modelling of fluid flows, and in a recent book (Zeytounian 2004, Chap....
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Planet Formation
Motivating the study of planet formation is not difficult for any curious audience. One of the fundamental human questions is that of origins: “where...
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Pareto Optimal Coordination on Roadmaps
Given a collection of robots sharing a common environment, assume that each possesses an individual roadmap for its C-space and a cost function for...
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Coordinating Multiple Droplets in Planar Array Digital Microfluidics System
This paper presents an approach to coordinate the motions of droplets in digital microfluidic systems used for biochemical analysis. A digital...
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Semi-Differential Invariants for Recognition of Albebraic Curves
This paper studies the recognition of low-degree polynomial curves based on minimal tactile data. Differential and semi-differential invariants have...
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Computing Deform Closure Grasps
In prior work, we extended the well-known form closure grasp framework for rigid parts to a class of deformable parts, modeled as frictionless...
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Applications of the Correlation Length
The correlation length is the system–dependent parameter, which defines the structure of the dominant current–carrying (electric or fluid) paths....
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Pressure Saturation Curves and the Critical Volume Fraction for Percolation
The pressure-saturation curves of porous media give fundamental information about the pore space. In equilibrium, ignoring effects due to hysteresis,...
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Effects of Multi-Scale Heterogeneity
It is generally agreed that problems with multi-scale heterogeneity present the biggest challenge to computation and understanding. A few such...
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Uniform Coverage of Simple Surfaces Embedded in $\mathbb{R}^3$ for Auto-Body Painting
We develop a procedure for automated trajectory generation for robotic spray painting applications. Painting requires that the spray gun deposit...
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Sampling-Based Motion Planning under Kinematic Loop-Closure Constraints
Kinematic loop-closure constraints significantly increase the difficulty of motion planning for articulated mechanisms. Configurations of...
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Some Aspects of Low-Mach-Number External Flows
In this chapter, we consider first, in Sect. 4.1, a detailed derivation of the Navier–Fourier initial–boundary–value problem for the Navier velocity...
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8 Entropy Production of Atmospheric Heat Transport
We examine the rate of entropy produced by the atmospheric general circulation and the hypothesis that it adjusts itself towards a macroscopic state...
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10 Thermodynamics of the Ocean Circulation: A Global Perspective on the Ocean System and Living Systems
In this chapter, we investigate thermodynamics in a global-scale open ocean circulation and discuss the physical properties of “living systems”, that...
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16 Temperature, Biogenesis, and Biospheric Self-Organization
We argue that the biosphere has evolved deterministically as a selforganized system, given the initial conditions of the Sun-Earth system. With...
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18 Insights from Thermodynamics for the Analysis of Economic Processes
The laws of thermodynamics constrain transformation of materials and energy, and thus have implications for economic processes. This paper provides...
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1 Entropy Production by Earth System Processes
Degradation of energy to lower temperatures and the associated production of entropy is a general direction for Earth system processes, ranging from...