scholarly journals Route to logical strange nonchaotic attractors with single periodic force and noise

2020 ◽  
Vol 30 (9) ◽  
pp. 093137
Author(s):  
M. Sathish Aravindh ◽  
A. Venkatesan ◽  
M. Lakshmanan
Keyword(s):  
Periodic Force ◽  
Strange Nonchaotic Attractors

scholarly journals The effect of noise on strange nonchaotic attractors

2000 ◽  
Vol 268 (4-6) ◽  
pp. 315-322 ◽  
Author(s):  
I.A. Khovanov ◽  
N.A. Khovanova ◽  
P.V.E. McClintock ◽  
V.S. Anishchenko
Keyword(s):  
Strange Nonchaotic Attractors

Influence of Axial Excitations and of Boundary Conditions on the Parametric Instability of a Beam

1995 ◽  
Author(s):  
Régis Dufour ◽  
Alain Berlioz ◽  
Thomas Streule
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Ritz Method ◽  
Parametric Instability ◽  
Experimental Tests ◽  
Time Varying ◽  
Periodic Force ◽  
Modal Reduction ◽  
Time Varying Parameter ◽  
The Stability

Abstract In this paper the stability of the lateral dynamic behavior of a pinned-pinned, clamped-pinned and clamped-clamped beam under axial periodic force or torque is studied. The time-varying parameter equations are derived using the Rayleigh-Ritz method. The stability analysis of the solution is based on Floquet’s theory and investigated in detail. The Rayleigh-Ritz results are compared to those of a finite element modal reduction. It shows that the lateral instabilities of the beam depend on the forcing frequency, the type of excitation and the boundary conditions. Several experimental tests enable the validation of the numerical results.

Design of an Electro-Mechanical Device for Knee Loading Applications

2015 ◽  
Author(s):  
Sai Krishna Prabhala ◽  
Sohel Anwar ◽  
Hiroki Yokota ◽  
Stanley Chien
Keyword(s):  
Clinical Trials ◽  
Knee Joint ◽  
Mechanical Loading ◽  
Software Package ◽  
Bone Fractures ◽  
Dynamic Loads ◽  
Linear Motion ◽  
Mechanical Device ◽  
Periodic Force ◽  
Knee Loading

Mechanical loading of the knee is an innovative modality developed for rehabilitation of the knee joint as well as the femur and tibia that are subjected to bone fractures, osteoarthritis and osteoporosis. Loading essentially applies a lateral and periodic force to the knee joint [1]. In this paper, we propose the design of an electro-mechanical device that is capable of applying such dynamic loads. The key variable attributes of this device are the magnitude of the loading force, together with displacement and frequency. A DC motor with a controller actuates the device to produce the necessary force. The loading force is applied to the knee by a set of pads in a restricted linear motion. The operation of the device is approximated using the software package, SimMechanics of MATLAB. The simulations show that the device is capable of producing a suitable loading force with desired frequency. This simulation helps in constructing the device and performing experiments with appropriate frequencies. The device is expected to stimulate the fluids in porous skeletal matrix, resulting in strengthening the knee and bones. It can be employed for clinical trials for necessary evaluations and improvements.

Strange Nonchaotic Trajectories on Torus

1997 ◽  
Vol 07 (02) ◽  
pp. 423-429 ◽  
Author(s):  
T. Kapitaniak ◽  
L. O. Chua
Keyword(s):  
Lebesgue Measure ◽  
Parameter Space ◽  
Positive Lebesgue Measure ◽  
Strange Nonchaotic Attractors

In this letter we have shown that aperiodic nonchaotic trajectories characteristic of strange nonchaotic attractors can occur on a two-frequency torus. We found that these trajectories are robust as they exist on a positive Lebesgue measure set in the parameter space.

scholarly journals Talin Folding as the Tuning Fork of Cellular Mechanotransduction

2020 ◽  
Author(s):  
Rafael Tapia-Rojo ◽  
Alvaro Alonso-Caballero ◽  
Julio M. Fernandez
Keyword(s):  
Bandpass Filter ◽  
Tuning Fork ◽  
Frequency Range ◽  
Periodic Force ◽  
Binding Partners ◽  
Mechanical Noise ◽  
Cellular Mechanotransduction ◽  
Folding Dynamics ◽  
Mechanical Information ◽  
Biological Environment

Cells continually sample their mechanical environment using exquisite force sensors such as talin, whose folding status triggers mechanotransduction pathways by recruiting binding partners. Mechanical signals in biology change quickly over time and are often embedded in noise; however, the mechanics of force-sensing proteins have only been tested using simple force protocols, such as constant or ramped forces. Here, using our magnetic tape head tweezers design, we measure the folding dynamics of single talin proteins in response to external mechanical noise and cyclic force perturbations. Our experiments demonstrate that talin filters out external mechanical noise but detects periodic force signals over a finely-tuned frequency range. Hence, talin operates as a mechanical bandpass filter, able to read and interpret frequency-dependent mechanical information through its folding dynamics. We describe our observations in the context of stochastic resonance, which we propose as a mechanism by which mechanosensing proteins could respond accurately to force signals in the naturally noisy biological environment.

Sign in / Sign up

Export Citation Format

Share Document