3 citations · 9 across the 11 of their papers we have counts for
12 papers
Equivariant Global Hopf Bifurcation in Abstract Nonlinear Parabolic Equations
Zalman Balanov, Wieslaw Krawcewicz, Arnaja Mitra +1
In this paper we study local and global symmetric Hopf bifurcation in abstract parabolic systems by means of the twisted equivariant degree.
Periodic Solutions to Reversible Second Order Autonomous DDEs in Prescribed Symmetric Nonconvex Domains
Zalman Balanov, Norimichi Hirano, Wieslaw Krawcewicz +2
The existence and spatio-temporal patterns of -periodic solutions to second order reversible equivariant autonomous systems with commensurate delays are studied using the Brouw…
Periodic Solutions to Reversible Second Order Autonomous Systems with Commensurate Delays
Zalman Balanov, Fulai Chen, Jing Guo +1
Existence and spatio-temporal patterns of periodic solutions to second order reversible equivariant autonomous systems with commensurate delays are studied using the Brouwer $O(2)…
Existence and Spatio-Temporal Patterns of Periodic Solutions to Second Order Non-Autonomous Equivariant Delayed Systems
Zalman Balanov, Wieslaw Krawcewicz, Norimichi Hirano +1
Existence and spatio-temporal symmetric patterns of periodic solutions to second order reversible equivariant non-autonomous periodic systems with multiple delays are studied under…
Patterns of Non-Radial Solutions to Coupled Semilinear Elliptic Systems on a Disc
Z. Balanov, E. Hooton, W. Krawcewicz +1
In this paper, we prove the existence of non-radial solutions to the problem , on the unit disc with $u(z)\…
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…
On Some Applications of Group Representation Theory to Algebraic Problems Related to the Congruence Principle for Equivariant Maps
Zalman Balanov, Mikhail Muzychuk, Hao-pin Wu
Given a finite group and two unitary -representations and , possible restrictions on Brouwer degrees of equivariant maps between representation spheres and $S(…
Hopf Bifurcation of Relative Periodic Solutions: Case Study of a Ring of Passively Mode-Locked Lasers
Zalman Balanov, Pavel Kravetc, Wieslaw Krawcewicz +1
In this paper, we consider an equivariant Hopf bifurcation of relative periodic solutions from relative equilibria in systems of functional differential equations respecting $Γ\tim…
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…
Non-invasive stabilization of periodic orbits in -symmetrically coupled Van der Pol oscillators
Zalman Balanov, Edward Hooton, Wieslaw Krawcewicz +1
Pyragas time delayed feedback control has proven itself as an effective tool to non-invasively stabilize periodic solutions. In a number of publications, this method was adapted to…
Bifurcation of space periodic solutions in symmetric reversible FDEs
Zalman Balanov, Haopin Wu
In this paper, we propose an equivariant degree based method to study bifurcation of periodic solutions (of constant period) in symmetric networks of reversible FDEs. Such a bifurc…
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…