We consider the double mathematical pendulum in the limit when the ratio of pendulum masses is close to zero and the ratio of pendulum lengths is close to infinity. We found that the limit system has a hyperbolic periodic trajectory, whose invariant manifolds intersect transversally and the intersections are exponentially small. In this case we obtain an asymptotic formula of the homoclinic inv...

Anodic bonding was used to fabricate a 10 mm diameter × 640 nm tall annular geometry suitable for torsion pendulum studies of confined 3He. For pure 3He at saturated vapor pressure the inertia of the confined fluid was seen to be only partially coupled to the pendulum at 160 mK. Below 100 mK the liquid’s inertial contribution was negligible, indicating a complete decoupling of the 3He from the ...

The paper is focused on creating a model of Inverted pendulum system and subsequent usage of this model to design a predictive controller of inverted pendulum system. The model is obtained on base of mathematical physical analysis of the system. Unknown parameters of the model are obtained from real-time experiments on the PS600 Inverted pendulum system. The model is designed in MATLAB/Simulink...

This study sought to compare the metacognitive knowledge profile of weak and strong students in problem solving. For achieving this purpose, one hundred students of the second educational District of Tehran were chosen by cluster sampling. They responded individually to the questions of "the Metacognitive Questionnaire Interview" and in the next step their performance in the pendulum problem so...

In standing, there are small sways of the body. Our interest is to use an artificial task to illuminate the mechanisms underlying the sways and to account for changes in their size. Using the ankle musculature, subjects balanced a large inverted pendulum. The equilibrium of the pendulum is unstable and quasi-regular sway was observed like that in quiet standing. By giving full attention to mini...

The purpose of this paper is to study the theoretical work for a new type of wind power system. This wind system, called Wing oscillating coil rod pendulum system. This is a small prototype that generates low current and voltage. This system is a new type of wind turbine, to generate energy by using wind. One of the main elements of this system is a copper coil pendulum with flapping wing attac...

By actively controlling the rotation of its pendulum, a vertical axis pendulum wave energy converter can generate significantly more net electricity from ocean waves than what would otherwise be possible through a passively swinging pendulum. This suggests that such converters can optimize their performance by incorporating active control schemes within their ever– changing ocean wave environme...