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A waterbased proof of the CauchySchwarz inequality. American Mathematical Monthly, in press.

With G. Bor, Matrix Composition via Rolling Cones, arXiv:1908.04965, Aug. 2019

Geometrical aspects of rapid vibrations and rotations377Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Scienceshttp://doi.org/10.1098/rsta.2019.0014

Tire Track geometry and integrable curve evolution, with G. Bor, S. Tabachnikov and R. Perline, IMRN, 2018, pp. 171

Gaussian Curvature and Gyroscopes, with G. Cox, CPAM 71(5), pp. 938952, 2018

Bouncing in Gravitational Field, with G. Galperin, Contemp. Math. Vol. 698 (2017): Dynamical Systems, pp. 129139

Schroedinger's equation and bike tracksa connection, J. Geometry and Physics, V. 115, May 2017, pp. 124139

Stability interchanges in a curved Sitnikov's problem, with L. FrancoPerez, M. Gidea and E. PerezChavela, Nonlinearity 29(2016), pp. 10561079

A Coriolis force in an inertial frame. With O. Kirillov Nonlinearity 30(2017) no. 3, pp. 11091119

Rotating saddle trap as Foucalt's pendulum, with O. Kirillov, Am. J. Phys., Vol. 84, No. 1, 2016

Arnold diffusion in a pendulum lattice, with V. Kaloshin and M. Saprykina, Comm Pure Appl. Math., Vol. X17, 748755 (2014)

Large scale radial stability density of Hill's equation, with H. Broer and C. Simo, Nonlinearity 26(2013), 565589

Traveling waves in chains of pendula, with A. Saadatpour, Physica D 244 (2013), pp. 6873

Tractrices, bicycle tire tracks, hatchet planimeter and a 100year old conjecture. Amer. Math Monthly 120 (2013), no. 3, pp. 199216

Throughthewall detection of stationary human targets using Doppler radar, with R. M. Narayanan, M.C Shastry and P.H. Chen. Prog. in Electromagnetics Res. B, V. 20, 147166, 2010.

On bicycle tire tracks geometry, hatchet planimeter, Menzin's conjecture and oscillation of unicycle tracks, Exp. Math, 18 2 (2009)

Making the moon reverse its orbit, or stuttering in the planar threebody problem, with S. Kaplan and R. Montgomery. Discr. Cont. Dyn. Systems. Series B 10 (2008), No. 23, pp. 569595

Geometry of Arnold diffusion, with V. Kaloshin. SIAM Review, Vol. 50 (2008), No. 4, 702720

An example of Arnold diffusion for nearintegrable Hamiltonians, with V. Kaloshin. Bull. Amer. Math. Soc. (N.S.) 45 (2008), No. 3, pp. 409427

Riemann mapping theorem by steepest descent. Amer. Math. Monthly 114 (2007), No. 3, 246251

The Poncelet grid and billiards in ellipses, with S. Tabachnikov. Amer. Math. Monthly 114 (2007), no. 10, 895908

Geometry of vibrational stabilization and some applications. Int. J. Bifurcation and Chaos, Vo. 15, No. 9 (2005), 27472756

Geodesics on vibrating surfaces and curvature of the normal family, with Q. Rea. Nonlinearity 18 (2005), 27372743

Geometrical methods in mechanics. In MASS Selecta, S. Katok, A. Sossinsky, S. Tabachnikov, Eds., AMS, 2003.

On a problem by Arnold on periodic motions in magnetic fields, Comm. Pure App. Math, Vol. LVI, No. 8, pp. 11651177, 2003

Nonholonomic effects and averaging, with W. Weckesser. Erg. Th. & Dynam. Sys. (2002), 22, 14971506

Minimal perimeter triangles. Amer. Math. Monthly, 109, pp. 899890, 2002

A Lagragian proof of the invariant curve theorem for twist mappings, with J. Moser. Proc. Symp. Pure Math., Vol. 69, 2001, pp. 733746

Geometry and physics of averaging, with applications. Physica D 132 (1999), pp. 150164.

Geometry of Kapitsa's potentials. Nonlinearity 11 (1998), pp. 13651368

Parametically forced sineGordon equation and domain walls dynamics in ferromagnets. Phys. Rev. B., 57, No. 9, 1998, pp. 50335035

A new randomnessgenerating mechanism in forced relaxation oscillations. Physica D 114 (1998), pp. 230236

Oscillatory escape in a Dyffing equation with a polynomial potential, with J. You. J. Diff. Equations, Vol. 140 No. 2 (1997), pp. 415426

Shadowing property of geodesics in the Hedlund's metric. Ergod. Th. & Dynam. Sys. (1997), 17, pp. 187203

Composition of rotations and parallel transport. Nonlinearity 9 (1996), pp. 413419

Geometry of stabilization by vibration, with W. Weckesser. SIAM Review Vol. 37, No. 2, pp. 219223, 1995

Geometric aspects of stability for Hill's equations, with H. Broer. Arch. Rational Mech. Anal. 131 (1995), pp. 225240

Boundedness of solutions with quasi periodic potentials, with E. Zehnder. SIAM J. Math. Anal. Vol. 26, No. 5, pp. 12331256, 1995

A "bicycle wheel" proof of the GaussBonnet theorem, dual cones and some mechanical manifestations of the Berry phase. Expo. Math. 12 (1994), pp. 145164

Geometric phases in the motion of rigid bodies. Arch. Rational Mech. Anal. 122(1993), pp. 213229

Gyroscopic effects in a rotating sleeve hydro cyclone. Appl. Math. Lett. Vol. 6, No. 4, pp. 9195, 1993

Invariant foliations in forced oscillations, in "Geometry and Dynamics", Broer and Takens, Eds., pp. 4350, 1992.

On Littlewood's counterexample of unbounded motions in super quadratic potentials. Dynamics Reported, 1 (New Series), 113124, 1992

Qualitative dynamics of planar chains, with S. Laederich. Physica D 54 (1992(, pp. 173182

Quasiperiodic motions in superquadratic timeperiodic potentials. Comm. Math. Phys. 143, pp. 4383 (1991)

Constrained relative motions in rotational mechanics, with J. Baillieul. Arch. Rational Mech. Anal. 115 (1991), pp. 101135

Geometry and computation of the dynamics of coupled pendular, with M. Henderson and F. Odeh. Int. J. Bifurcation and Chaos, Vol. 1, No. 1, 1991, pp. 2750

Invariant curves in timedependent potentials, with S. Laederich. Ergod. Th. & Dynam. Sys. (1991), 11, pp. 365378

A periodadding phenomenon, SIAM J. App. Math. Vol. 50, No. 4, pp. 943955, 1990

Dynamics of discrete FrankelKontorova models. Analysis, et cetera. P Rabinowitz and E. Zehnder, Eds., Academic Press, inc., pp. 471494, 1990

KAM theory for particles in periodic potentials. Erg. Th. & Dynam. Sys., Vol. 10 (1990), pp. 777785

Morse theory of a model space structure. Contemp. Math. Vol. 97, pp. 209216, 1989

Caterpillar solutions in coupled pendula. Erg. Th. & Dynam. Sys., Vol. 8*, pp. 153174

Nonchaotic behavior on the Josephson Junction. Phys Rev. A, 37(3) (1988), pp. 927931

Stability of the inverted penduluma topological explanation. SIAM Review, Vol. 30 (4), 1988, pp. 639644

Transversal heteroclinic intersections in slowly varying Hamiltonian systems, with H. Kurland. Dynamical systems approaches to systems and circuits, F. Salam and M. Levi, Eds., pp. 2938, SIAM, Philadelphia, 1988

Rotational elastic dynamics, with J. Baillieul. Physica 27D (1987), pp. 4362

The mechanics of rotating structures, with J. Baillieul. In Theory and Apple. of Nonlinear Control Systems, C. Byrnes, Al. Lindquist, Eds. Elsevier, pp. 497505, 1986

On Stability of symplectic maps. J. Diff. Eqs., Vol. 50, No. 3 (1981), pp. 441443

Qualitative analysis of the periodically forced relaxation oscillations. Memoirs of the AMS #244, 1981

Adiabatic invariants of linear hamiltonian systems with periodic coefficients. J. Diff. Eq., Vol. 42, No. 1 (1981), pp. 4771

Dynamics of the Josephson Junction, with F. Hoppenstead and W. Miranker. Quarterly of Applied Mathematics,1978.