SCOPE

Dynamical systems are an important topic in applied science. Previously, however, was hard to obtain a correct control function for a given dynamical system. Mathematical research allows obtaining them under the Lyapunov theory with small computational effort by solving a PDE associated to the Lyapunov function of a dynamical system. Further research allows describing their components: The orbits that represent the sections of the function in which the system has a constant behaviour and the gradient-like flow in which the system is dynamic. Applications of such function can be found in sciences as biology and in many engineering applications. Research and contributions on differential equations are important to offer stronger approaches to the perfect description of a dynamical system.


Topics:
- Control theory
- Lyapunov theory
- Dynamical systems described by differential equations
- Numerical approach of differential equations

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