Active Control of Oscillation Patterns in the Presence of Multiarmed Pitchfork Structure of the Critical Manifold of Singularly Perturbed System

الملخص EN

We analyze the possibility of control of oscillation patterns for nonlinear dynamicalsystems without the excitation of oscillatory inputs.

We propose a generalmethod for the partition of the space of initial states to the areas allowing activecontrol of the stable steady-state oscillations.

Furthermore, we show that the frequencyof oscillations can be controlled by an appropriately positioned parameterin the mathematical model.

This paper extends the knowledge of the nature ofthe oscillations with emphasis on its consequences for active control.

The results ofthe analysis are numerically verified and provide the feedback for further design ofoscillator circuits.