P.K. Newton, G. Chamoun,
"Construction of point vortex equilibria via Brownian ratchets,"
Proc. Roy. Soc. A 463, 1525-1540, 2007.
P.K. Newton and B. Cooley, "Eigenvalue distributions from impacts on a ring,"
Regular and Chaotic Dynamics, 12(1), 12-26, 2007.
P.K. Newton, "N-vortex equilibrium theory,"
Discrete and Continuous Dynamical Systems A,
Special Volume on Applications of Analysis and Variational Methods,
C.C. Lim, M. Otani, J. Shi, eds. (in press).
M.I. Jamaloodeen and P.K. Newton,
"The two-layer quasi-geostrophic potential vorticity model,"
J. Mathematical Physics, Special Issue on Mathematical Fluid Dynamics,
2007.
P.K. Newton and T. Sakajo, "
The N-vortex problem on a rotating sphere. III. Ring configurations
coupled to a background field,"
Proc. Roy. Soc. A 463, 961-977, 2007.
P.K. Newton and S.D. Ross,
"Chaotic advection for the restricted four-vortex problem on a sphere,"
Physica D 223(1), 36-53, 2006.
P.K. Newton and K. Aslam, "Monte Carlo Tennis,"
SIAM Review 48(4), 722-742, 2006.
M.I. Jamaloodeen and P.K. Newton,
"The N-vortex problem on a rotating sphere. II. Heterogeneous equilibria,"
Proc. Roy. Soc. A 462, 3277-3299, 2006.
P.K. Newton and H. Shokraneh, "The N-vortex problem on a rotating sphere. I.
Multi-frequency states," Proc. Roy. Soc. A 462, 149-169, 2006.
P.K. Newton, M. Ruith and E. Upchurch,
"The constrained planar N-vortex problem: I. Integrability,"
Discrete and Continuous Dyn. Sys. B 5(1), 137-152, 2005.
P.K. Newton, B. Cooley,
"Iterated impact dynamics from N-beads on a ring,"
SIAM Review 42(2), 273-300, 2005.
P.K. Newton and J.B. Keller,
"Probability of winning at tennis. I. Theory and data,"
Studies in Appl. Math. 114 241-269, 2005.
P.K. Newton and V. Papanicolaou,
"Nonlinear dissipative eigenvalue problems with large initial conditions,"
J. Math. Phys. 46, 1-10, 2005.
P.K. Newton and H. Aref, "Chaos vs. Turbulence," in
Encyclopedia of Nonlinear Science, Routledge Press, 2005.
P.K. Newton and J.E. Marsden, "Berry's Phase," in
Encyclopedia of Nonlinear Science, Routledge Press, 2005.
P.K. Newton, H. Shokraneh, "Vortex Dipole Coordinates on a Sphere,"
Chapter 10 169-180, in bf Vortex Dominated Flows:
A Volume Celebrating Lu Ting's 80th Birthday},
World Scientific Publishing, 2005.
P.K. Newton and B. Cooley,
"Random number generation from chaotic impact collisions,"
Regular and Chaotic Dynamics, 9(3), 1-14, 2004.
P.K. Newton, E. Gutkin,
"Green's functions and the method of images on spheres,"
Journal of Phys. A: Math. Gen. 37, 11989-12003, 2004.
H. Aref, P.K. Newton, M. Stremler, T. Tokeida and D.L. Vainchtein,
"Vortex crystals," Advances in Appl. Mech. 39, 1-79, 2003.
P. K. Newton and V. Papanicolaou, ''Power law asymptotics for nonlinear
eigenvalue problems,'' in Perspectives and Problems in Nonlinear
Science, E. Kaplan, J. Marsden, and K. Sreenivasan, Eds. New York:
Springer-Verlag, 2003.
P. K. Newton and R. Axel, ''Amplitude equation models for the interaction of
shocks with nonlinear dispersive wave envelopes,'' in Selected Topics in
Nonlinear Wave Mechanics, C. I. Christov and A. Guran, Eds. Boston:
Birkhauser, 2002.
P. K. Newton and B. Khushalani, ''Integrable decomposition methods and ensemble
averaging for non-integrable N-vortex problems,'' Journal of
Turbulence 1, pp. 8-17, 2002.
P. K. Newton and I. Mezic, ''Non-equilibrium statistical mechanics for a vortex
gas,'' Journal of Turbulence 1, pp. 1-7, 2002.
P. K. Newton, The N-Vortex Problem: Analytical Techniques (Series: Applied
Mathematical Sciences). Berlin: Springer-Verlag, 2001.
P. K. Newton and B. Shashikanth, ''Geometric phases for a co-rotating
elliptical vortex patches,'' Journal of Mathematical Physics
41(12), pp. 8148-8162, 2000.
R. Kidambi and P. K. Newton, ''Vortex motion on a sphere with solid
boundaries,'' Phys. of Fluids 12, pp. 581-588, 2000.
R. Kidambi and P. K. Newton, ''Streamline topologies for integrable vortex
motion on a sphere,'' Physica D 140, pp. 95-125, 2000.
R. Kidambi and P. K. Newton, ''Collision of three vortices on a sphere,'' Il
Nuovo Cimento 22C, pp. 779-791, 1999.
B. N. Shashikanth and P. K. Newton, ''Vortex motion and the geometric phase.
part II. slowly varying spiral structures,'' J. of Nonlinear Sci.
9, pp. 233-254, 1999.
R. Kidambi and P. K. Newton, ''Motion of three point vortices on a sphere,''
Physica D 116, pp. 143-175, 1998.
B. N. Shashikanth and P. K. Newton, ''Vortex motion and the geometric phase.
part I. basic configurations and asymptotics,'' J. of Nonlinear Sci.
8, pp. 183-214, 1998.
P. K. Newton and R. Axel, ''On the interaction of shocks with dispersive waves:
Ii. incompressible-integrable limit,'' Studies in Applied Mathematics
100, pp. 311-363, 1998.
P. K. Newton and R. Axel, ''On the interaction of shocks with dispersive waves:
I. weak coupling limit,'' Studies in Applied Mathematics 96,
pp. 201-246, 1996.