2012
Keplerian Dynamics on the Heisenberg Group and Elsewhere with Corey Shanbrom
Poincare y el problem de N-cuerpos with Gil Bor
Symmetric Regularization, Reduction, and Blow-Up of the Planar Three-Body Problem with Rick Moeckel, to appear, Pac J. Math.
Remembering Jerry (one contribution of many) ed. T. Ratiu, A. Weinstein, Notices AMS, (2012).

2011
From Brake to Syzygy with Rick Moeckel and Andrea Venturelli, in Archive for Rational Mechanics and Analysis; 204(3):1009-1060, (2012).

2009
Curve Singularities and Monster / Semple Towers with Alex Castro

2008
Resolving Singularities Using Cartan's Prolongation with V. Swaminathan and M. Zhitomirskii, Journal of Fixed Point Theory and Applications (Arnol'd volume);v. 3., no. 2, Sept 2008 (alternatively: through Springer)

Points and Curves in the Monster Tower with M. Zhitomirskii.
(accepted in the Memoirs of the AMS, to appear , ? 09 much improved from 07 version ! )

The Chains of Left-invariant CR-structures on SU(2) with Alex Castro; Pac. J. Math. , vol. 238, no. 1, 41-71,

Making the moon reverse its orbit: stuttering in the planar three body problem with Sam Kaplan and Mark Levi. Discrete and Continuous Dynamical Systems series B, ( Simofest issue), vol. 10, no. 2/3, 2008.

Exact identities for nonlinear wave propagation (with Duncan Ralph and Onuttom Narayan) Phys Rev E., v 77, 056219, May 2008

2007
Dynamical Bias in the Coin Toss with Persi Diaconis and Susan Holmes
May 1, SIAM Review, Vol. 49,No . 2,pp . 211, 2007.

The zero angular momentum three-body problem: all but one solution has syzygies Erg. Th. and Dyn. Systems. v 27, no 6, 2007; pp. 1933-1946
(previously listed in 2006 as ``The only syzygy-free solution is Lagrange's'' ; completes the results of `Infinitely Many Syzygies') [older ref: Older version, w different title here ]

2006
G_2 and the `Rolling Distribution' with Gil Bor.

Rotational Invariant Operators Based on Steerable Filter Banks with Alex Castro, Roberto Manduchi, and X. Shi.
IEEE Signal Processing Letters, v. 13, no 11, Nov. 2006

Seifert's paper on brake orbits translated from the German by Bill McCain. *NOTE*! I did not write this, but I keep misplacing it and wanting to reread it. Thanks :Bill.

2005
Rotating Eights I: the three Gamma_i families with A. Chenciner, J. Fejoz; Nonlinearity 18 (2005) 1407-1424.
also available from NONLINEARITY [IOP]

Convexity of the Eight with T. Fujiwara; Pacific J. Math., Vol. 219, No. 2, Apr 2005, p. 271-284,
also available directly from: Pacific Journal of Mathematics

Hyperbolic Pants fit a three-body problem (draft; april 24, 2004, ps only for now) Ergodic Theory and Dynamical Systems, Volume 25, - June 2005, 921-947.

Nonholonomic systems via moving frames ... Chaplygin with Kurt Ehlers, Jair Koiller, and Pedro M. Rios, appeared in the 60th bday vol for Weinstein, titled `The Breadth of Symplectic and Poisson Geometry',Birkhauser, Prog in Math series, 2005

2003
Symmetry in Mechanics: A Gentle, Modern Introduction, by Stephanie Singer, American Math. Monthly, April, 2003.

2002
> Infinitely Many Syzygies Archives for Rational Mechanics, v. 164 (2002), no. 4, 311--340, 2002.
ps version and accompanying figures

Momentum maps and geometric phases (with J. Koiller,W. Earnest, Joaquin Delgado, K. Ehlers, T. Stuchi, Maria de Fatima Almeida) in Classical and celestial mechanics, (Recife, 1993/1999), 281--349, Princeton Univ. Press,

2001
A new solution to the three-body problem Notices of the American Mathematical Society, 471-481, May, 2001.

Action spectrum and collisions in the planar three-body problem (pdf) , Contemporary Math. vol. 292 (Celestial Mechancics), American Math. Society, Providence, Rhode Island, 2002.

Simple choreographies of N bodies: a preliminary study (pdf) with Alain Chenciner, Joseph Gerver, Richard Montgomery, and Carles Simo, appeared in Geometry, Mechanics, and Dynamics, volume in honor of the 60th birthday of J.E. Marsden, P. Newton, P. Holmes, A. Weinstein, ed. , Springer-Verlag, 2002.

Geometric approach to Goursat flags (with M. Zhitomirskii), Ann. Inst H. Poincare Anal. Non Lin\'eare, vol. 12, no. 4, 459-493, 2001.


2000
A remarkable periodic solution of the three-body problem in the case of equal masses, with A. Chenciner, Annals of Mathematics, v. 152, 881-901, Nov. 2000.

Geometric quantization and no-go theorems (with V. Ginzburg) , Banach Center Publ. vol. 51, (Poisson Geometry), Polish Acad. Sci, Warsaw, 2000.

Low Reynolds number swimming in two dimensions (with A. Cherman, Joaquin Delgado, F. Duda,K. Ehlers, J. Koiller) in Hamiltonian systems and celestial mechanics (Patzcuaro, 1998)' , 32--62, World Sci. Monogr. Ser. Math., 6, World Sci. Publishing, River Edge, NJ, 2000.

review of M. Gromov's "Carnot-Caratheodary Space seen within", Featured Math Review on Math-Sci Net, May 2000.


1999
Engel Deformations and Contact Structures , Amer. Math. Soc. Transl.,ed. Eliashberg and Weinstein, (2) vol 196, 103-117, 1999.

1998
The N-body problem, the braid group, and action-minimizing periodic orbits, Nonlinearity, vol. 11, no. 2, 363-376, 1998.


1997
A nonintegrable sub-Riemannian geodesic flow on a Carnot group.(pdf) with M. Shapiro and A. Stolin, J. Dyn. Control Systems, v. 3 no. 4, 519--530, 1997.



1996
The geometric phase of the three-body problem. (pdf) Nonlinearity, v. 9, 1341-1360, 1996.

Introduction to a paper of M.Z. Shapiro: Homotopy theory in Control (ps) , in Nonsmooth analysis and geometric methods in deterministic control, The IMA Vol. Math. Appl. vol. 78, Springer-Verlag, 1996.
Do cyanobacteria swim using travelling waves? with K. Ehlers, A. Samuel, and H. Berg. Proc. Nat. Acad. , v. 93, Aug. 1996.;pp. 8340-8343.


1995
Hearing the Zero Locus of a Magnetic Field. (pdf) Communications Math. Physics, v. 168 , no. 3, 651-675, 1995.
postscript version

A Survey of Singular Curves in Subriemannian Geometry (pdf), vol. 1, Journal of Dynamical and Control Systems, 1995.

1994
Abnormal Minimizers , SIAM J. Control and Optimization, vol. 32, no. 6, pp. 1605-1620, 1994.

Singular Extremals on LIe Groups Math. Control Signals Systems, vol. 7, no. 3, 217-234, 1994


1993
Generic Distributions and Lie Algebras of Vector Fields in J. Diff. Eq. , v. 103, pp. 387-393, 1993.

Gauge Theory of the Falling Cat (pdf) in `Dynamics and Control of Mechanical Systems; The falling cat and related problems, v. 1, Fields Institute Communications, ed. M. Enos, AMS pub., 1993. (detailed analysis of the Kane-Scher model cat.)

Nonholonomic Control and Gauge Theory (pdf) in `Nonholonomic Motion Planning', edited by Li and Canny, Kluwer Acad. Pub. , 1993. contains a dictionary between control theory.

The structure of optimal controls for a steering problem. (pdf) with Shankar Sastry. in selected papers from the 2nd IFAC Symposium, (Nonlinear Control Systems Design 1992) Ed. by M. Fleiss, Pergamon Press, UK, 1993.

1991
How much does the rigid body rotate? A Berry's phase from the 18th century American J. Physics, v. 59, no. 5, May 1991, pp. 394-398

Optimal Control of Deformable Bodies and Its Relation to Gauge Theory in The Geometry of Hamiltonian Systems , Tudor Ratiu, ed., MSRI Publications, vol. 22, Springer-Verlag, 1991

1990
The isoholonomic problem and some of its applications (pdf) Comm. Math. Phys., 1990, v. 128, pp 565-592.

Heisenberg and isoholonomic inequalities. Symplectic geometry and mathematical physics (Aix-en-Provence, 1990), 303--325, Progr. Math., 99, Birkhauser, (a conference proceedings in honor of Souriau)

Cartan-Hannay-Berry Phases and Symmetry , with J. Marsden and T. Ratiu, Contemp. Math. , AMS, vol. 97, 279-296, 1989.

1988

The Connection Whose Holonomy is the Classical Adiabatic Angles... Comm. Math. Phys. v. 120, 269-2294.

1987
Hamiltonian Structure of Modulation Equations for Sine-Gordon with N. Ercolani, G. Forest, and D. McLaughlin, Duke Math Journal, vol. 55 no. 4, 949-983, 1987.

1986
The bundle picture in mechanics (pdf) PhD thesis, UC Berkeley, Mathematics
The Hamiltonian Structure for Dynamic Free Boundary Value Problems with D.Lewis, J. Marsden, and T. Ratiu, Physica D ,391-404 , 1986
Covariant Poisson Brackets for Classical Fields with J. Marsden, P.J. Morrison, and W.B. Thompson, Annals of Physics , v. 169, 29-47, 1986

1985
Analytic Proof of Chaos in the Leggett Equations for Superfluid He3 (pdf) J. Low Temp. Phys, vol. 58, no. 5/6, 417-423, 1985.

1984
Canonical Formulations of a Particle in a Yang-Mills Field and Wong's Equations (pdf) Lett. Math Phys., vol. 8, 59-67, 1984.

1983
The Structure of Reduced Cotangent Bundles for Non-Free Group Actions Preprint 143 of the U.C. Berkeley Center for Pure and Applied Math, 1983.