For 3D reaction–diffusion equations, we study the problem of existence or nonexistence of an inertial manifold that is normally hyperbolic or absolutely normally hyperbolic. We present a system of two coupled equations with a cubic nonlinearity which does not admit a normally hyperbolic inertial manifold. An example separating the classes of such equations admitting an inertial manifold and a n...

The paper deals with the study of the influence of the inertial sensors errors on the position, speed and attitude of a bidimensional strap-down inertial navigation system (SDINS) in a vertical plane. To test this influence we put up MATLAB/SIMULINK models for the acceleration and rotation sensors based on the sensors data sheets and on the IEEE equivalent models for the inertial sensors. The m...

Inertial microfluidics has been attracting considerable interest in recent years due to immensely promising applications in cell separations and sorting. Despite the intense attention, the moderate efficiencies and low purity of the reported devices have hindered their widespread acceptance. In this work, we report on a simple inertial microfluidic system with high efficiency (>99%) and purity ...

Reconstructing 3D data from images acquired by cameras is a difficult task. The problem becomes harder if the goal is to recover the dynamics of the 3D world from the image flow. However, it is known that humans integrate and combine the information from different sensorial systems to perceive the world. For example, the human vision system has close links with the vestibular system to perform ...

Reconstructing 3D data from images acquired by cameras is a difficult task. The problem becomes harder if the goal is to recover the dynamics of the 3D world from the image flow. However, it is known that humans integrate and combine the information from different sensorial systems to perceive the world. For example, tlie human vision system has close links with the wstibular system to perform ...

Inertial sensors comprise of two primary sensor units: accelerometers and gyroscopes. An inertial measurement unit (IMU) combines multiple accelerometers and gyros, usually three of each, to produce a three-dimensional measurement of specific force and angular rate (Weston and Titterton 2000). New designs of INS employ a strap down architecture, whereby the inertial sensors are fixed with respe...