19,990 research outputs found
Motion of Curves on Two Dimensional Surfaces and Soliton Equations
A connection is established between the soliton equations and curves moving
in a three dimensional space . The sign of the self-interacting terms of
the soliton equations are related to the signature of . It is shown that
there corresponds a moving curve to each soliton equations.Comment: Latex, 15 pp, to be published in Physics Letters
Biped robot walking control on inclined planes with fuzzy parameter adaptation
The bipedal structure is suitable for a robot functioning in the human environment, and assuming assistive roles. However, the bipedal walk is a poses a difficult control problem. Walking on even floor is not satisfactory for the applicability of a humanoid robot. This paper presents a study on bipedal walk on inclined planes. A Zero Moment Point (ZMP) based reference generation technique is employed. The orientation of the upper body is adjusted online by a fuzzy logic system to adapt to different walking surface slopes. This system uses a sampling time larger than the one of the joint space position controllers. A newly defined measure of the oscillatory behavior of the body pitch angle and the average value of the pelvis pitch angle are used as inputs to the fuzzy adaptation system. A 12-degrees-of-freedom (DOF) biped robot model is used in the full-dynamics 3-D simulations. Simulations are carried out on even floor and inclined planes with different slopes. The results indicate that the fuzzy adaptation algorithms presented are successful in enabling the robot to climb slopes of 5.6 degrees (10 percent)
Sources for the Majumdar-Papapetrou Space-Times
Einstein's field equations are solved exactly for static charged dust
distributions. These solutions generalize the Majumdar Papapetrou metrics.
Maxwell's equations lead to the equality of charge and mass densities of the
dust distribution. Einstein's equatins reduce to a nonlinear version of
Poisson's equation.Comment: RevTex, 4pp, to be published in Physical Review
A Novel SUSY Energy Bound States Treatment of the Klein-Gordon Equation with PT-Supersymmetric and q-Deformed Hulthen Potential
In this study, we focus on investigating the exact relativistic bound state
spectra for supersymmetric, PT-supersymmetric and non-Hermitian versions of
q-deformed parameter Hulthen potential. The Hamiltonian hierarchy mechanism,
namely the factorization method, is adopted within the framework of SUSYQM.
This algebraic approach is used in solving of the Klein-Gordon equation with
the potential cases. The results obtained analytically by executing the
straightforward calculations are in consistent forms for certain values of q.
Achieving the results may have a particular interest for such applications.
That is, they can be involved in determining the quantum structural properties
of molecules for rovibrational states, and optical spectra characteristics of
semiconductor devices with regard to the lattice dynamics [62-64]. They are
also employed to construct broken or unbroken case of supersymmetric particle
model concerning the interaction between the elementary particles [65].Comment: 13 page
Sigma Models and Minimal Surfaces
The correspondance is established between the sigma models, the minimal
surfaces and the Monge-Ampere equation. The Lax -Pairs of the minimality
condition of the minimal surfaces and the Monge-Ampere equations are given.
Existance of infinitely many nonlocal conservation laws is shown and some
Backlund transformations are also given.Comment: Latex, 13pp, to be published in Letters in Mathematical Physic
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