31 citations
- Landau Institute for Theoretical PhysicsRU2 papers
- Coventry UniversityGB1 paper
- Lomonosov Moscow State UniversityRU1 paper
- Russian Academy of SciencesRU1 paper
- Shandong UniversityCN1 paper
- University at Buffalo, State University of New YorkUS1 paper
- University of BristolGB1 paper
- University of Colorado BoulderUS1 paper
- University of MichiganUS1 paper
- University of NottinghamGB1 paper
7 papers
Two-parameter -variation Paths and Integrations of Local Times
Chunrong Feng, Huaizhong Zhao
In this paper, we prove two main results. The first one is to give a new condition for the existence of two-parameter -variation path integrals. Our condition of locally boun…
Normal Forms for Symplectic Maps with Twist Singularities
H. R. Dullin, A. V. Ivanov, J. D. Meiss
We derive a normal form for a near-integrable, four-dimensional symplectic map with a fold or cusp singularity in its frequency mapping. The normal form is obtained for when the fr…
Maslov Indices and Monodromy
HR Dullin, JM Robbins, H Waalkens +2
We prove that for a Hamiltonian system on a cotangent bundle that is Liouville-integrable and has monodromy the vector of Maslov indices is an eigenvector of the monodromy matrix w…
Finite-order meromorphic solutions and the discrete Painleve equations
R. G. Halburd, R. J. Korhonen
Let w(z) be a finite-order meromorphic solution of the second-order difference equation w(z+1)+w(z-1) = R(z,w(z)) (eqn 1) where R(z,w(z)) is rational in w(z) and meromorphic in z.…
Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations
R. G. Halburd, R. J. Korhonen
The Lemma on the Logarithmic Derivative of a meromorphic function has many applications in the study of meromorphic functions and ordinary differential equations. In this paper, a…
Planar isotropic two-phase systemsin perpendicular magnetic field: effective conductivity
S. A. Bulgadaev, F. V. Kusmartsev
Three explicit approximate expressions for the effective conductivity sigma_e of various planar isotropic two-phase systems in a magnetic field are obtained using the dual linear f…