Results 81 to 90 of about 4,813,044 (315)
Expanding the simple pendulum's rotation solution in action-angle variables [PDF]
Integration of Hamiltonian systems by reduction to action-angle variables has proven to be a successful approach. However, when the solution depends on elliptic functions, the transformation to action-angle variables may need to remain in implicit form ...
M. Lara, S. Ferrer
semanticscholar +1 more source
ABSTRACT Insulin resistance is the biological phenomenon in which the human body's normal response to the metabolic hormone insulin is compromised. Insulin is a regulator of most of the essential metabolic steps in the body that control energy homoeostasis, so dysregulation leads to multiple diverse human diseases including, most prominently, Type 2 ...
Peter J. Little +12 more
wiley +1 more source
Precise asymptotic behavior of solutions to damped simple pendulum equations
We consider the simple pendulum equation $$displaylines{ -u''(t) + epsilon f(u'(t)) = lambdasin u(t), quad t in I:=(-1, 1),cr u(t) > 0, quad t in I, quad u(pm 1) = 0, }$$ where $0 < epsilon le 1$, $lambda > 0$, and the friction term is either $f(
Tetsutaro Shibata
doaj
T-S Fuzzy System Controller for Stabilizing the Double Inverted Pendulum
This article provides a representation of the double inverted pendulum system that is shaped and regulated in response to torque application at the top rather than the bottom of the pendulum, given that most researchers have controlled the double ...
Boutaina Elkinany +3 more
doaj +1 more source
The double pendulum is a system that manifests fascinating non-linear behavior. This made it a popular tool in academic settings for illustrating the intricate response of a seemingly simple physical apparatus, or to validate tools for studying nonlinear
Audun D. Myers +3 more
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The Parallelometer: a mechanical device to study curvature
A simple mechanical device is introduced, the parallelometer, that can be used to measure curvatures of surfaces. The device can be used as a practical illustration of parallel transport of a vector and to study Berry phase shift when it is carried along
Garfinkle, David +2 more
core +1 more source
In Situ Acoustic Monitoring of Focused Femtosecond Pulse Duration in Air
Air‐breakdown acoustics at the laser focus is used to determine femtosecond pulse duration with a simple USB microphone. By chirp‐tuning and compressing 1030 nm pulses from 241 to 50 fs, the acoustic amplitude scales inversely proportional to the square root of the pulse duration, enabling in situ readout over 50 fs–5 ps—crucial for precise pulse ...
Indrė Meškėlaitė +9 more
wiley +1 more source
The Formulations of Classical Mechanics with Foucault’s Pendulum
Since the pioneering works of Newton (1643–1727), mechanics has been constantly reinventing itself: reformulated in particular by Lagrange (1736–1813) then Hamilton (1805–1865), it now offers powerful conceptual and mathematical tools for the exploration
Nicolas Boulanger, Fabien Buisseret
doaj +1 more source
A new pendulum motion with a suspended point near infinity
In this paper, a pendulum model is represented by a mechanical system that consists of a simple pendulum suspended on a spring, which is permitted oscillations in a plane.
A. I. Ismail
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The Verification of Propotionality Between Time Period and Length of a Simple Pendulum Experiment Using Deep Neural Network [PDF]
Adesiyan Ayomide, Obioma Osuagwu
openalex +1 more source

