2018

Gelfreich, V. and Vieiro, A. (2018) Interpolating vector fields for near identity maps and averaging. Nonlinearity, 31 (9). 4263. doi:10.1088/1361-6544/aacb8e

2017

Shah, Kushal, Turaev, Dmitry, Gelfreich, Vassili and Rom-Kedar, Vered (2017) Equilibration of energy in slow-fast systems. Proceedings of the National Academy of Sciences of the United States of America, 114 (49). E10514-E10523. doi:10.1073/pnas.1706341114

Gelfreich, Vassili and Turaev, Dmitry (2017) Arnold diffusion in a priory chaotic symplectic maps. Communications in Mathematical Physics, 353 (2). pp. 507-547. doi:10.1007/s00220-017-2867-0

2015

Shah, Kushal, Gelfreich, Vassili, Rom-Kedar, Vered and Turaev, Dmitry (2015) Leaky Fermi accelerators. Physical Review E, 91 (6). 062920. doi:10.1103/PhysRevE.91.062920

2014

Gelfreich, Vassili and Lerman, Lev (2014) Separatrix splitting at a Hamiltonian 02 iω bifurcation. Regular and Chaotic Dynamics, 19 (6). pp. 635-655. doi:10.1134/S1560354714060033

Gelfreich, Vassili and Gelfreikh, Natalia (2014) Unique normal forms near a degenerate elliptic fixed point in two-parametric families of area-preserving maps. Nonlinearity, Volume 27 (number 7). pp. 1645-1667. doi:10.1088/0951-7715/27/7/1645

Gelfreich, Vassili, Rom-Kedar, Vered and Turaev, Dmitry (2014) Oscillating mushrooms : adiabatic theory for a non-ergodic system. Journal of Physics A : Mathematical and Theoretical, Volume 47 (Number 39). Article number 395101 . doi:10.1088/1751-8113/47/39/395101

2013

Gelfreich, Vassili, Simó, C. and Vieiro, A. (2013) Dynamics of 4 D symplectic maps near a double resonance. Physica D: Nonlinear Phenomena, Vol.243 (No.1). pp. 92-110. doi:10.1016/j.physd.2012.10.001 (In Press)

2012

Gelfreich, Vassili, Rom-Kedar, Vered and Turaev, Dmitry (2012) Fermi acceleration and adiabatic invariants for non-autonomous billiards. Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 22 (No. 3). 033116. doi:10.1063/1.4736542

2011

Betz, Volker, Gelfreich, Vassili and Theil, Florian (2011) Oscillatory sums. The Mathematical Intelligencer, Vol.33 (No.3). pp. 110-114. doi:10.1007/s00283-011-9224-5

Gelfreich, Vassili, Rom-Kedar, Vered, Shah, Kushal and Turaev, Dmitry (2011) Robust exponential acceleration in time-dependent billiards. Physical Review Letters, Volume 106 (Number 7). Article no. 074101 . doi:10.1103/PhysRevLett.106.074101

Gaivão, José Pedro and Gelfreich, Vassili (2011) Splitting of separatrices for the Hamiltonian-Hopf bifurcation with the Swift–Hohenberg equation as an example. Nonlinearity, Vol.24 (No.3). pp. 677-698. doi:10.1088/0951-7715/24/3/002

2010

Gelfreich, Vassili and Gelfreikh, N. (2010) Unique normal forms for area preserving maps near a fixed point with neutral multipliers. Regular and Chaotic Dynamics, Vol.15 (No.2-3). pp. 300-318. doi:10.1134/S1560354710020164

Gelfreich, Vassili and Turaev, Dmitry (2010) Universal dynamics in a neighborhood of a generic elliptic periodic point. Regular and Chaotic Dynamics, Vol.15 (No.2-3). pp. 159-164. doi:10.1134/S156035471002005X

Brannstrom, Niklas, de Simone, Emiliano and Gelfreich, Vassili (2010) Geometric shadowing in slow-fast Hamiltonian systems. Nonlinearity, Vol.23 (No.5). pp. 1169-1184. doi:10.1088/0951-7715/23/5/008

2009

Gelfreich, Vassili and Gelfreikh, Natalia (2009) Unique resonant normal forms for area-preserving maps at an elliptic fixed point. Nonlinearity, Vol.22 (No.4). pp. 783-810. doi:10.1088/0951-7715/22/4/006

Gelfreich, Vassili and Naudot, V. (2009) Width of the homoclinic zone in the parameter space for quadratic maps. Experimental Mathematics, Vol.18 (No.4). pp. 409-427. doi:10.1080/10586458.2009.10129058

2008

Gelfreich, Vassili and Naudot, V. (2008) Analytic invariants associated with a parabolic fixed point in C2. Ergodic Theory and Dynamical Systems, Vol.28 (No.6). pp. 1815-1848. doi:10.1017/S0143385707001046

Brännström, Niklas and Gelfreich, Vassili (2008) Drift of slow variables in slow-fast Hamiltonian systems. Physica D: Nonlinear Phenomena, Vol.237 (No.22). pp. 2913-2921. doi:10.1016/j.physd.2008.05.001

Gelfreich, Vassili and Turaev, Dmitry (2008) Unbounded energy growth in Hamiltonian systems with a slowly varying parameter. Communications in Mathematical Physics, Volume 283 (Number 3). pp. 769-794. doi:10.1007/s00220-008-0518-1

Gelfreich, Vassili and Simó i Torres, Carles (2008) High-precision computations of divergent asymptotic series and homoclinic phenomena. Discrete and Continuous Dynamical Systems. Series B, Vol.10 (No.2-3). pp. 511-536.

Butler, Leo T. and Gelfreich, Vassili (2008) Positive-entropy geodesic flows on nilmanifolds. Nonlinearity, Volume 21 (Number 7). pp. 1423-1434. doi:10.1088/0951-7715/21/7/002

Gelfreich, Vassili and Turaev, Dmitry (2008) Fermi acceleration in non-autonomous billiards. Journal of Physics A-Mathematical and Theoretical, Vol.41 (No.21). doi:10.1088/1751-8113/41/21/212003