L. M. Lerman

collaborators

3 papers

math.DS2025

Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability

L. M. Lerman, R. Mazrooei-Sebdani, N. E. Kulagin

The double Hamiltonian Hopf bifurcation is studied, i.e. a generic two-parametric unfolding of a smooth Hamiltonian system with four degrees of freedom which has at the critical va…

math.AP2024

Entire solutions to the Swift--Hohenberg equation via variational approach

S. B. Kolonitskii, L. M. Lerman, A. I. Nazarov

We study the stationary Swift--Hohenberg equation $(Δ + 1)^{2} u - α u - β u^{2} + u^{3} = 0$ in the whole space $R^{n}$ , $2 \leq n \leq 7$ . We develop and modify the variational approach…

math.DS2015

On symplectic dynamics near a homoclinic orbit to 1-elliptic fixed point

L. Lerman, A. Markova

We study the orbit behavior of a four dimensional smooth symplectic diffeomorphism $f$ near a homoclinic orbit $Γ$ to an 1-elliptic fixed point under some natural genericity assump…