Degree Theory and Symmetric Equations Assisted by GAP System

Zalman Balanov, University of Texas at Dallas, Richardson, TX, Wieslaw Krawcewicz, University of Texas at Dallas, Richardson, TX. Dmitrii Rachinskii, University of Texas at Dallas, Richardson, TX, Hao-Pin Wu, National Yang Ming Chiao Tung University, Hsinshu, Taiwan. Jianshe Yu, Guangzhou University, China.

Introduction Brouwer equivariant degree and applications Local Brouwer degree Equivariant Brouwer degree Subharmonic solutions to reversible difference equations Periodic solutions to $\kappa$-reversible continuous time systems with multiple delays Equivariant bifurcation of periodic solutions with fixed period Non-radial solutions to coupled semilinear elliptic systems on a disc Twisted equivariant degree and applications Local $S^1$-equivariant degree Local twisted equivariant degree Two parameter $G$-equivariant bifurcation Hopf bifurcation Hopf bifurcation of relative periodic solutions Global Hopf bifurcation of differential equations with threshold type state-dependent delay by Qingwen Hu Hysteresis models as rate-independent operators Hopf bifurcations in systems of symmetrically coupled oscillators with hysteretic elements Hopf bifurcation in nonlinear parabolic equations Appendices Elements of differential topology Lie groups and their topological actions Elements of representation theory $G$-manifolds and smooth $G$-vector bundles Amalgamated notation Quickstart for GAP and EquiDeg Bibliography Index