Andronov-Hopf bifurcation in control systems with nonsmooth functions

DOI10.1134/S1995080224603205MaRDI QIDQ6649009

R. I. Gabdrahmanov

Publication date: 5 December 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

cycleintegral operatorHopf bifurcationcontrol theoryswitching manifoldnonsmooth functionspiece-wise smooth function

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Discontinuous ordinary differential equations (34A36)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Elements of applied bifurcation theory.
• An operator method for investigating the stability of cycles in Hopf bifurcation
• Parameter functionability and asymptotic behavior of cycles in Hopf's bifurcation
• The method of parameter functionalization in the hopf bifurcation problem
• Bifurcations in Continuous Piecewise Linear Differential Systems

This page was built for publication: Andronov-Hopf bifurcation in control systems with nonsmooth functions

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6649009)