Z. Balanov

发表

Hopf Bifurcation in Symmetric Networks of Coupled Oscillators with Hysteresis

D. Rachinskii, Z. Balanov, W. Krawcewicz, 2012 .

On the equivariant Hopf bifurcation in hysteretic networks of van der Pol oscillators

D. Rachinskii, Z. Balanov, W. Krawcewicz, 2011 .

Global Hopf bifurcation of differential equations with threshold type state-dependent delay

Z. Balanov, W. Krawcewicz, Qingwen Hu, 2014 .

A short treatise on the equivariant degree theory and its applications

Z. Balanov, W. Krawcewicz, S. Rybicki, 2010 .

On variational and topological methods in nonlinear difference equations

Z. Balanov, W. Krawcewicz, C. García-Azpeitia, 2018 .

Periodic Solutions of vdP and vdP-like Systems on $3$--Tori

A. Murza, Z. Balanov, E. Hooton, 2016, 1608.05555.

Applied Equivariant Degree

Z. Balanov, W. Krawcewicz, H. Steinlein, 2006 .

ON GOOD DEFORMATIONS OF Am-SINGULARITIES

Z. Balanov, Yakov Krasnov, 2018 .

Periodic solutions to reversible second order autonomous DDEs in prescribed symmetric nonconvex domains

A. Murza, N. Hirano, Z. Balanov, 2020, Nonlinear Differential Equations and Applications NoDEA.

Periodic solutions to reversible second order autonomous systems with commensurate delays

Fulai Chen, Z. Balanov, W. Krawcewicz, 2020, 2007.09166.

Existence and Spatio-Temporal Patterns of Periodic Solutions to Second Order Non-Autonomous Equivariant Delayed Systems

N. Hirano, Z. Balanov, W. Krawcewicz, 2020, 2005.12558.

Sliding Hopf bifurcation in interval systems

D. Rachinskii, Z. Balanov, W. Krawcewicz, 2015, 1507.08596.

Complex structures in algebra, topology and differential equations

Z. Balanov, Yakov Krasnov, 2014 .

Morse complex, even functionals and asymptotically linear differential equations with resonance at infinity

Z. Balanov, E. Schwartzman, 1998 .

Noninvasive Stabilization of Periodic Orbits in O4-Symmetrically Coupled Systems Near a Hopf Bifurcation Point

Dmitrii Rachinskii, Wieslaw Krawcewicz, Zalman Balanov, 2017, Int. J. Bifurc. Chaos.

Non-invasive stabilization of periodic orbits in $O_4$-symmetrically coupled Van der Pol oscillators

D. Rachinskii, Z. Balanov, W. Krawcewicz, 2016, 1608.04884.

Topological properties of strongly monotone planar vector fields

Z. Balanov, D. Rachinskii, A. Bolshakov, 2019, Mathematische Nachrichten.

Multiple Solutions to Implicit Symmetric Boundary Value Problems for Second Order Ordinary Differential Equations (ODEs): Equivariant Degree Approach

Zhichao Li, Wieslaw Krawcewicz, Zalman Balanov, 2013, Symmetry.

Multiple solutions to symmetric boundary value problems for second order ODEs: Equivariant degree approach

Z. Balanov, W. Krawcewicz, Mylinh Nguyen, 2014 .

A comparison principle and extension of equivariant maps

Z. Balanov, A. Kushkuley, 1994 .

Equivariant degree method for analysis of Hopf bifurcation of relative periodic solutions: Case study of a ring of oscillators

D. Rachinskii, Z. Balanov, W. Krawcewicz, 2018, Journal of Differential Equations.

Hopf Bifurcation of Relative Periodic Solutions: Case Study of a Ring of Passively Mode-Locked Lasers

D. Rachinskii, Z. Balanov, W. Krawcewicz, 2017, 1703.09154.

HOPF BIFURCATION OF RELATIVE PERIODIC SOLUTIONS IN A SYSTEM OF FIVE PASSIVELY MODE-LOCKED LASERS

D. Rachinskii, Z. Balanov, W. Krawcewicz, 2018 .

Global Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays

J. Burnett, Huafeng Xiao, Z. Balanov, 2021, Int. J. Bifurc. Chaos.

Symmetric Hopf bifurcation in implicit neutral functional differential equations: Equivariant degree approach

Z. Balanov, W. Krawcewicz, Zhichao Li, 2014, Journal of Fixed Point Theory and Applications.

Hopf bifurcation in a symmetric configuration of transmission lines

Zalman Balanov, Wieslaw Krawcewicz, Haibo Ruan, 2007 .

Geometric Methods in Degree Theory for Equivariant Maps

Z. Balanov, A. Kushkuley, 2000 .

ON THE EQUIVARIANT DEGREE THEORY

Z. Balanov, 2008 .

Equivariant Hopf theorem

Z. Balanov, 1997 .

On the genus of some subsets of $G$-spheres

Z. Balanov, S. Brodsky, 1995 .

Chapter 1 Symmetric Hopf bifurcation: Twisted degree approach

Z. Balanov, 2008 .

Symmetric Hopf bifurcation in implicit neutral functional differential equations: Equivariant degree approach

Z. Balanov, W. Krawcewicz, Zhichao Li, 2014 .

On algebraic problems behind the Brouwer degree of equivariant maps

M. Muzychuk, Z. Balanov, Haotian Wu, 2020 .

On Some Applications of Group Representation Theory to Algebraic Problems Related to the Congruence Principle for Equivariant Maps

M. Muzychuk, Z. Balanov, Haotian Wu, 2017, 1706.02756.

Bifurcation of Space Periodic Solutions in Symmetric Reversible FDEs

Z. Balanov, Haotian Wu, 2016, Differential and Integral Equations.

Applied equivariant degree. part II: Symmetric Hopf bifurcations of functional differential equations

Z. Balanov, W. Krawcewicz, H. Ruan, 2006 .

Bourgin-Yang-type theorem for a-compact perturbations of closed operators. Part I. The case of index theories with dimension property

B. Gel'man, Z. Balanov, S. Antonyan, 2006 .

APPLIED EQUIVARIANT DEGREE, PART I: AN AXIOMATIC APPROACH TO PRIMARY DEGREE

Z. Balanov, W. Krawcewicz, H. Ruan, 2006 .

Symmetric systems of van der Pol equations

Z. Balanov, W. Krawcewicz, Meymanat Farzamirad, 2006 .

Taylor-Couette problem and related topics

Z. Balanov, W. Krawcewicz, B. Rai, 2003 .

Periodic Solutions to O(2)-Symmetric Variational Problems: O(2)× S-Equivariant Gradient Degree Approach

Z. Balanov, W. Krawcewicz, H. Ruan, 2009 .

Brouwer degree, equivariant maps and tensor powers

Z. Balanov, W. Krawcewicz, A. Kushkuley, 1998 .

G.E. Hutchinson's delay logistic system with symmetries and spatial diffusion

Z. Balanov, W. Krawcewicz, H. Ruan, 2008 .

Patterns of non-radial solutions to coupled semilinear elliptic systems on a disc

D. Rachinskii, Z. Balanov, W. Krawcewicz, 2020, Nonlinear Analysis.

Complex Structures in Real Algebras. I. Two-Dimensional Commutative Case

Z. Balanov, Yakov Krasnov, 2003 .