✦ LIBER ✦
On the Hopf Bifurcation in Control Systems with a Bounded Nonlinearity Asymptotically Homogeneous at Infinity
✍ Scribed by P. Diamond; N. Kuznetsov; D. Rachinskii
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 211 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0022-0396
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✦ Synopsis
The paper studies existence, uniqueness, and stability of large-amplitude periodic cycles arising in Hopf bifurcation at infinity of autonomous control systems with bounded nonlinear feedback. We consider systems with functional nonlinearities of Landesman Lazer type and a class of systems with hysteresis nonlinearities. The method is based on the technique of parameter functionalization and methods of monotone concave and convex operators.