Controlling complexity using forcing: simulations and experiments
The successful manipulation of nonlinear dynamics using external forcing is reported. In the case of temporal systems, a model system is simulated by ordinary differential equations. Experiments are carried out in a single anode electrochemical cell. Numerical and experimental results indicate that under the influence of external forcing, the control of complexity and a change in periodicity of the autonomous dynamics can be achieved. A natural extension of this work involves analyzing the effects of global and local forcing on complex spatio-temporal behavior. A numerical model involving partial differential equations is used for simulating the dynamics of the extended system. An electrochemical cell involving multiple anodes is used for the corresponding experiments. In simulation and in experiments, suppresion of spatio-temporal complexity is observed for the global and local methods. There are possible applications in plasma, laser devices, chemical systems and biology.
scientific article; zbMATH DE number 2175175