منابع مشابه
Eulerian Walkers as a Model of Self-Organized Criticality.
We propose a new model of self-organized criticality. A particle is dropped at random on a lattice and moves along directions specified by arrows at each site. As it moves, it changes the direction of the arrows according to fixed rules. On closed graphs these walks generate Euler circuits. On open graphs, the particle eventually leaves the system, and a new particle is then added. The operator...
متن کاملHybrid zero dynamics of planar biped walkers
Planar, underactuated, biped walkers form an important domain of applications for hybrid dynamical systems. This paper presents the design of exponentially stable walking controllers for general planar bipedal systems that have one degree of freedom greater than the number of available actuators. The within-step control action creates an attracting invariant set—a two dimensional zero dynamics ...
متن کاملEulerian Geometric Discretizations of Manifolds and Dynamics
This thesis explores new methods for geometric, structure-preserving Eulerian discretizations of dynamics, including Lie advection and incompressible fluids, and the manifolds in which these dynamics occur. The result is a novel method for discrete Lie advection of differential forms, a new family of structure-preserving fluid integrators, and a new set of energies for optimizing meshes appropr...
متن کاملEulerian Front Tracking for Solid Dynamics
An attractive approach for simulation of solid dynamics is to combine an Euler-ian nite diierence method with material interface tracking. The xed Eulerian computational mesh is not subject to mesh distortion, and the tracking eliminates spurious numerical diiusion at interfaces and the need for mixed-material computational cells. We have developed such an approach within the framework of the f...
متن کاملEulerian Dynamics with a Commutator Forcing
We study a general class of Euler equations driven by a forcing with a commutator structure of the form [L,u](ρ) = L(ρu)−L(ρ)u, where u is the velocity field and L is the “action” which belongs to a rather general class of translation invariant operators. Such systems arise, for example, as the hydrodynamic description of velocity alignment, where action involves convolutions with bounded, posi...
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: Physical Review E
سال: 1998
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.58.5449