Navier-Stokes equations
M. Arnold, Ya.G. Sinai "Global Existence and Uniqueness Theorem for 3D Navier-Stokes System on T3 for Small Initial Conditions in the Spaces Phi(alpha)" Pure Appl. Math. Quaterly, vol.4, N1, 71-79 (2008)
M. Arnold, Yu. Bakhtin, E. Dinaburg "Regularity of Solutions to Vorticity Navier-Stokes System on", Comm. Math. Phys vol.258, N2, 339-348, (2005)
M.Arnold, A. Khokhlov "Implementation for blow up of tornado-type solutions for complex version of 3D Navier-Stokes system." arXiv:0806.4286, (2008)
M. Arnold, W. Craig "On the size of the Navier-Stokes singular set." DCDS, vol.28, N3, 1165-1178 (2010)
M. Arnold "Analyticity of Periodic Solutions of the 2D Boussinesq System." Instability in Models Connected with Fluid Flows I, 37-52, (2008)
Switching systems
M. Arnold, E. Dinaburg, G. Dobrushina, S. Pirogov, A. Rybko "On products of skew rotations", Moscow Math. J. 12, N4, 705-717 (2012)
M. Arnold, V. Zharnitsky "Pinball dynamics: unlimited energy growth in switching Hamiltonian systems." Comm. Math. Phys. 338, N2, 501-521 (2015)
M. Arnold, T. Dauer, M. Doucette, S.-C. Wolf., "On a very steep version of the Standard Map", Exper. Math. (2016), published online
M. Arnold, N. Begun, P. Gurevich, E. Kwame, H. Lamba, D. Rachinskii. "Dynamics of Discrete Time Systems with a Hysteresis Stop Operator", SIAM J. Dyn. Sys., (2016)
Shape evolution
M. Arnold, Yu. Baryshnikov, S. LaValle "Convex hull asymptotic shape evolution." WAFR X (2013), 349-364
M. Arnold, Yu. Baryshnikov, D. Liberzon "Cyclic pursuit without coordinates: convergence to regular polygon formations." 53 CDC (2014)
M. Arnold, V. Zharnitsky "Cyclic evasion in the three bug problem", Amer. Math. Monthly, 122, N4, 337-380 (2015)
M. Arnold, M. Golich, A. Grim, L. Vargas, V. Zharnitsky. "Square and bow-tie configurations in the cyclic evasion problem." Nonlinearity, to appear (2017)
M. Arnold, Yu. Baryshnikov, Yu. Mileyko. "Typical Representatives of free homotopy classes in a multi-punctured plane"
Uncategorized
M. Arnold "Notes on identical configurations in Abelian Sandpile Model with initial height", arXiv:1205.6618 (2012)
M. Arnold, D. Fuchs, I. Izmestiev, S. Tabachnikov, E. Tsukerman. Iterating evolutes and involutes, Disc. Com. Geom., to appear (2017)