56 citations · 77 across the 7 of their papers we have counts for
4 papers · 1 filter
Guaranteed estimates for the length of branches of periodic orbits for equivariant Hopf bifurcation
E. Hooton, Z. Balanov, D. Rachinskii
Connected branches of periodic orbits originating at a Hopf bifurcation point of a differential system are considered. A computable estimate for the range of amplitudes of periodic…
Equivariant Versions of Odd Number Theorem
Edward Hooton, Pavel Kravetc, Dmitrii Rachinskii
We consider the problem of stabilization of unstable periodic solutions to autonomous systems by the non-invasive delayed feedback control known as Pyragas control method. The Odd…
Periodic Solutions of vdP and vdP-like Systems on --Tori
Zalman Balanov, Edward Hooton, Adrian Murza
Van der Pol equation (in short, vdP) as well as many its non-symmetric generalizations (the so-called van der Pol-like oscillators (in short, vdPl)) serve as nodes in coupled netwo…
Sliding Hopf bifurcation in interval systems
E. Hooton, Z. Balanov, W. Krawcewicz +1
In this paper, the equivariant degree theory is used to analyze the occurrence of the Hopf bifurcation under effectively verifiable mild conditions. We combine the abstract result…