Publications

• Oceanography

• Nonlinear Optics

• Nonlinear Waves

• Other Topics

Oceanography

• Chaotic mixing in a barotropic meandering jet, C.K.R.T. Jones, J. Biello, P.D. Miller, L.J. Pratt and A.M. Rogerson, J. Phys. Oceanogr., in revision (1996).
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• Quantifying transport in numerically-generated velocity fields, C.K.R.T. Jones, P.D. Miller, L.J. Pratt and A.M. Rogerson, Physica D, in revision (1996).
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• Geometry of cross-stream Lagrangian mixing in a duble gyre ocean model. , A.C. Poje and G. Haller, preprint (1996). abstract
  

• Finite time transport in aperiodic flows. , G. Haller and A.C. Poje, Phys D, accepted for publication (1997). abstract
  

• Eddy growth and mixing in mesoscale ocean flows., G. Haller and A.C. Poje, Nonlinear Processes in Geophysics D (1997) (submitted). abstract

• Viscous perturbations of vorticity conserving flows and splitting of separatrices, C.R.K.T. Jones, S. Balsuriya and B. Sandstede, submitted (1997).
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• Chaotic mixing across oceanic jets, C.K.R.T. Jones, G. Haller P.D. Miller and L. Pratt, in Chaotic, fractal, and nonlinear signal processing, R. Katz, ed., AIP conference proceedings 375, AIP Press, 1996, 591-604
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• Settling and chaotic mixing in oceanic flows: the role of heteroclinic orbits, C.K.R.T. Jones, G. Haller, P.D. Miller and J. Rubin, in Naval Res. Rev. XLVII, 1995, 17-28
  

• Settling and asymptotic motion of aerosol particles in a cellular flow field C.K.R.T. Jones, M. Maxey and J. Rubin , in J. Nonlinear Science 5 pp. 337-358 (1995).
  

• Reduction of three-dimensional, volume preserving flows with symmetry , G. Haller and I. Mezic, Nonlinearity (1996) (submitted). [POSTSCRIPT] (Click here for the Abstract)

• Enslaved finite difference approximations for quasi-geostrophic, shallow flows, D.A. Jones, L.G. Margolin and A.C. Poje, Physica D ,98, pp. 229-248 (1996). abstract
  

Nonlinear Optics

• Bifurcations and edge oscillations in the semiconductor Fabry-P\'erot interferometer, C.K.R.T. Jones and J. Rubin, submitted (1996).
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• Multi-pulse homoclinic orbits in multi-dimensional systems, with an application to the discretized, perturbed NLS , G. Haller, Comm. Math. Phys. (1995) (submitted). [COMPRESSED POSTSCRIPT] (Click here for the Abstract)

• Phase field models for hypercooled solidification, P. Fife, P. Bates R. Gardner and C.K.R.T. Jones, to appear in Physica D (1997).
  

• Existence and stability of N-pulses on optical fibers with phase-sensitive amplifiers, C.K.R.T. Jones, B. Sandstede and S. Balasuriya, to appear in Physica D (1997).
  

• Stability of pulses on optical fibers with phase-sensitive amplifiers, J.C. Alexander, M.G. Grillakis, C.K.R.T. Jones and B. Sandstede, to appear in ZAMP (1997).
  

• The existence of travelling wave solutions of a generalized phase-field model, P. Fife, P. Bates R. Gardner and C.K.R.T. Jones, to appear in SIAM Journal of Mathematical Analysis (1997).
  

• Stability of the in-phase travelling wave solution in a pair of coupld nerve fibers A. Bose and C.K.R.T. Jones, in Indiana Univ. Math. J. 44 189-220 (1995).
  

Nonlinear Waves

• Existence of standing pulse solutions to an inhomogeneous reaction-diffusion equation, C.K.R.T. Jones and J. Rubin, submitted (1996).
  

• Instability of quasiperiodic solutions of the Ginsburg - Landau equations, A.Doelman R.Gardner and C.K.R.T. Jones, in Proc. Royal Society of Edinburgh, 125A pp.501-517 (1995).

• Nonmonotone waves in a three species reaction-diffusion model, P.D. Miller, Methods and Applications of Analysis, to appear (1996).
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• Stability of nonmonotone waves in a three species reaction-diffusion model, P.D. Miller, Proc. of the Royal Society of Edinburgh, submitted (1996).
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Other Topics

• Invariant Manifolds and Singularly Perturbed Boundary Value Problems C.K.R.T. Jones, S.-K. Tin and N. Kopell, in SIAM J. Numerical Analysis 31 pp. 1558-1576, (1994)
  

• Tracking invariant manifolds up to exponentially small errors , C.K.R.T. Jones, T.Kaper and N.Kopell, in SIAM J. Mathematical Analysis 27 pp.558-577 (1996).
  

• A mechanism for capture into resonance, T. Burns and C.K.R.T. Jones, in Physica D 69 pp.85-106 (1993).
  

• Geometric Singular Perturbation Theory, C.K.R.T. Jones in CIME Lectures in Dynamical Systems, Lecture Notes in Mathematics, Springer-Verlag (1994).
  

• Orbits homoclinic to resonances: the Hamiltonian case , G. Haller and S. Wiggins, Physica D 66 (1993) 298-346.

• Diffusion at intersecting resonances in Hamiltonian systems , G. Haller, Phys. Lett. A 200 (1995) 34-42.

• N-pulse homoclinic orbits in perturbations of resonant Hamiltonian syste ms , G. Haller and S. Wiggins, Arch. Rat. Mech. Anal. 130 (1995) 25-101.

• Multi-pulse jumping orbits and homoclinic trees in a modal truncation of the damped-forced nonlinear Schrodinger equation , G. Haller and S.Wiggins, Physica D 85 (1995) 311-347.

• Whiskered tori and chaos in Hamiltonian normal forms , G. Haller and S. Wiggins, Fields Inst. Comm. 4 (1995) 129-149.

• Universal homoclinic bifurcations and chaos near double resonances , G. Haller, J. Stat. Phys. (1997) (in press). [POSTSCRIPT] (Click here for the Abstract)

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