A bifurcation
Abstract
The stability of the equilibrium point on the plane of sliding motions for a third-order relay system under certain transformations is considered. It is shown that through a certain infinite formation of unstable limit cycles, the stable state of equilibrium transmits its stability to a finite number of limit cycles. The change in stability of the equilibrium state takes place through a strange attractor.
- Publication:
-
Akademiia Nauk SSSR Doklady
- Pub Date:
- May 1978
- Bibcode:
- 1978DoSSR.240..553K
- Keywords:
-
- Branching (Physics);
- Control Theory;
- Cybernetics;
- Motion Stability;
- Systems Stability;
- Cycles;
- Relay;
- Sliding;
- Transformations (Mathematics);
- Physics (General)