What is the difference between nonlinear mechanics and the chaos theory? originally appeared on Quora: the place to gain and share knowledge, empowering people to learn from others and better ...

Dynamic transitions and bifurcation theory constitute a fundamental framework in understanding how nonlinear systems evolve and adapt under varying conditions. This field examines the manner in which ...

The limitations of linear imaging were formalized succinctly by Ernst Abbe in 1873 1. In his theory, an object is treated as an ensemble of Fourier modes, each of which acts individually as a ...

The Journal of Integral Equations and Applications, Vol. 2, No. 4 (FALL 1990), pp. 595-613 (19 pages) We investigate the existence, local uniqueness and local stability properties of almost sinusoidal ...

Conventional techniques may not be sufficient, but a new approach to implementing nonlinear algorithms may accomplish the goal. Roy Batruni, CEO, Optichron Nonlinear signal distortion is widespread ...

This course is an introduction to the foundations of nonlinear control theory, with an emphasis on feedback stabilization. As needed, topics from differential geometry and other mathematical ...

Learn to apply control systems in automotive, energy, aerospace, robotics, and manufacturing sectors. Apply feedback control laws to stabilize systems and achieve performance goals. Control systems ...

Information theory and network physiology are rapidly converging fields that offer powerful frameworks for unraveling the complexities of living systems. At ...