1.     "The Phase Shift, II. As a Continuous Functional'' (with W. Frank), J. Math. Phys. 12, 2525-2529 (1971).

2.     "Path Integrals in Curved Spaces'' (with L. S. Schulman), J. Math. Phys. 12, 2520-2524 (1971).

3.     "Path Integrals, Asymptotics, and Singular Perturbations'', J. Math. Phys. 13, 784-796 (1972).

4.     "Complex Time, Contour Independent Path Integrals, and Barrier Penetration'', J. Math. Phys. 13, 1099-1108 (1972).

5.     "A Stochastic Gaussian Beam'' (with R. Burridge and G. Papanicolaou), J. Math. Phys. 14, 84-89; Erratum in Vol. 14 (1973).

6.     "The Solution by Descent of Certain Partial Differential Equations on the Sphere and Lobachevsky Plane'' (with R. Burridge and G. Papanicolaou), Comm. Pure. Appl. Math. 26, 105-129 (1973).

7.     "The Soliton: A New Concept in Applied Science'' (with A. C. Scott and F. Y. F. Chu), Proc. IEEE 61, 1443-1483 (1973). (Translated into Russian as an Appendix of the book "Active and Nonlinear Wave Propagation in Electronics").

8.     "A Restricted Backlund Transformation'' (with A. C. Scott), J. Math. Phys. 14, 1817-1828 (1973).

9.     "Semiclassical Radiation Theory and the Inverse Method'' (with J. Corones), Phys. Rev. A. 10, 2051-2062 (1974).

10.  "A Stochastic Gaussian Beam II'', J. Math. Phys. 16, 100-103 (1975).

11.  "Four Examples of the Inverse Method as a Canonical Transformation'', J. Math. Phys. 16, 96-99; Erratum in 16, 1704 (1975).

12.  "The Feynman Integral'' (with J. B. Keller), Amer. Math. Monthly 82, 451-465 (1975).

13.  "Some Comments on Backlund Transformations, Canonical Transformations, and the Inverse Scattering Method'' (with H. Flaschka), Springer Lecture Notes in Math. 515, 253-295 (1975).

14.  "Quantum Theory of a Swept Gain Amplifier II'' (with F. A. Hopf and P. Meystre), Phys. Rev. A 13, 777-783 (1976).

15.  "Canonically Conjugate Variables for the Korteweg-de Vries Equation and Toda Lattice with Periodic Boundary Conditions'' (with H. Flaschka), Prog. in Theor. Phys. 55, 438-456 (1976).

16.  "Solitons under Perturbations'' (with J. P. Keener), Phys. Rev. A 16, 777-790 (1977); Erratum in 17, 1555 (1977).

17.  "A Green's Function for a Linear Equation Associated with Solitons'' (with J. P. Keener), J. Math. Phys. 18, 2008-2013 (1977).

18.  "Fluxon Interactions'' (with A. C. Scott), Appl. Phys. Lett. 30, 545-547 (1977).

19.  "Aspects of Soliton Physics'' (with G. L. Lamb, Jr.), Volume 17 "Solitons" ed. R. K. Bullough and P. J. Caudrey, (Springer Verlag, 1980).

20.  "Exact Solutions of the Sine-Gordon Equation'' (with G. Costabile, R. Costabile, R. Parmentier, B. Savo, and A. C. Scott), Appl. Phys. Lett. 32, 587-589 (1978).

21.  "Perturbation Analysis of Fluxon Dynamics'' (with A. C. Scott), Phys. Rev. A. 18, 1652-1680 (1978).

22.  "Multiphase Averaging and the Inverse Spectral Solution of KdV'' (with H. Flaschka and M. G. Forest), Comm. Pure Appl. Math. 33, 739-784 (1980).

23.  "On Davydov's Alpha Helix Solitons'' (with J. Hyman and A. C. Scott), Physica D 3, 23-44 (1981).

24.  "Modulations of KdV Wavetrains'', Physica D 3, 335-343 (1981).

25.  "Shock Waves in the Toda Lattice: Analysis'' (with B. J. Holian and H. Flaschka), Phys. Rev. A 24, 2595-2623 (1981).

26.  "Nonlinear Normal Modes for the Toda Chain'' (with W. E. Ferguson, Jr. and H. Flaschka), J. Comp. Phys. 45, 157-209 (1982).

27.  "Spectral Theory of the Periodic Sine-Gordon Equation: A Concrete Viewpoint'' (with M. G. Forest), J. Math. Phys. 23, 1248-1277 (1982).

28.  "Breather Annihilation by Simple Dissipation'' (with E. A. Overman), Phys. Rev. A. 26, 3497-3507 (1982).

29.  "Modulations of Sine-Gordon and Sine-Gordon Wavetrains'' (with M. G. Forest), Studies in Appl. Math. 68, 11-59 (1983).

30.  "Solitary Waves as Fixed Points of Infinite Dimensional Maps in an Optical Bistable Ring Cavity'' (with J. V. Moloney and A. C. Newell), Phys. Rev. Lett. 51, 75-78 (1983).

31.  "Modulational Stability of Two Phase Sine Gordon Wavetrains'' (with N. Ercolani and M. G. Forest), Studies in Appl. Math. 71, 91-101 (1984).

32.  "Modulations of Perturbed KdV Wavetrains'' (with M. G. Forest), SIAM J. Appl. Math. 44, 287-300 (1984).

33.  "Interactions Between Mean Flow and Finite-Amplitude Mesoscale Eddies in a Barotropic Ocean'' (with B. Cushman-Rosin and G. Papanicolaou), Geophys. Astrophys. Fluid Dynamics, 29, 333-353 (1984).

34.  "Chaos and Nonlinear Modes in a Perturbed Toda Chain'' (with A. Bishop, K. Fesser, and B. Holian), Phys. Rev. A. 31, 2728-2731 (1985).

35.  "New Class of Instabilities in Passive Optive Cavities'' (with J. V. Moloney and A. C. Newell), Phys. Rev. Lett. 54, 681-684 (1985).

36.  "Convection of Microstructure and Related Problems'' (with G. Papanicolaou and O. Pironneau), SIAM J. Appl. Math 45, 780-797 (1985).

37.  "The Origin and Saturation of Modulational Instabilities'' (with N. Ercolani and M. G. Forest), Physica D 18, 472-474 (1986).

38.  "Focusing Singularity of the Cubic Schrödinger Equation'' (with P. Sulem, C. Sulem and G. Papanicolaou), Phys. Rev. A. 34, 2, 1200-1210 (1986).

39.  "Chaos and Coherent Structures in pde's (with A. Aceves, H. Adachihara, C. Jones, J. C. Lerman, J. V. Moloney and A. C. Newell), Physica D 18, 85-112 (1986).

40.  "Coherence and Chaos in the Driven Damped Sine-Gordon Equation: Measurement of the Soliton Spectrum'' (with A. R. Bishop and E. A. Overman), Physica D 19, 1-41 (1986).

41.  "Oscillations and Instabilities in Near Integrable pde's'' (with N. Ercolani and M. G. Forest), Lect. Appl. Math. 23, 3-46 (1986).

42.  "Modulational Instabilities of Periodic Sine-Gordon Waves: A Geometric Analysis'' (with N. Ercolani and M. G. Forest), Lect. Appl. Math. 23, 149-166 (1986).

43.  "A Quasi-Periodic Route to Chaos in a Near-Integrable pde'' (with A. R. Bishop, M. G. Forest, and E. A. Overman), Physica 23D, 293-328 (1986).

44.  "Phase-Pulling and Space-Time Complexity in an AC Driven Damped One-Dimensional Sine-Gordon System'' (with A. Mazor and A. Bishop), Phys. Lett. A. 119 No. 6, 273-279 (1986).

45.  "On the Construction of a Modulating Multiphase Wavetrain for a Perturbed KdV Equation'', IMA. 2, 167-195 (1986).

46.  "On the Weak Limit of Rapidly Oscillating Waves'' (with L. Chierchia, N. Ercolani), Duke Math. J. 55, 759-764 (1987).

47.  "Solitary Waves as Fixed Points of Infinite-Dimensional Maps for an Optical Bistable Ring Cavity: Analysis'' (with J. Adachihara, J. Moloney, and A. C. Newell), J. Math. Phys. 29, 63-85 (1988).

48.  "Hamiltonian Structure for the Modulation Equations of a Sine-Gordon Wavetrain'' (with N. Ercolani, M. G. Forest, and R. Montgomery), Duke Math. J. 55, 949-983 (1988).

49.  "Quasi-Periodic Route to Chaos in a Near-Integrable pde: Homoclinic Crossings''(with A. Bishop, M.G. Forest, and E. Overman), Phys. Lett. A. 126, 335-340 (1988).

50.  "Geometry of the Modulational Instability: Part I. Local Results: Part II. Global Results'' (with N. Ercolani and M. G. Forest), accepted, under revision, Memoirs of the AMS (1988).

51.  "Global Co-ordinates for the Breather-Kink (Antikink) Sine-Gordon Phase Space: An Explicit Separatrix as a Possible Source of Chaos'' (with M. Salerno and A. Bishop), Phys. Rev. A 40, 6463-6469 (1989).

52.  "Geometry of the Modulational Instability: Part III. Homoclinic Orbits for the Periodic sine-Gordon Equation'' (with N. Ercolani and M. G. Forest), Physica D 43, 348-384 (1990).

53.  "Stability and Bifurcation of Spatially Coherent Solutions of the Damped-Driven NLS Equations'' (with E. Overman, G. Terrones and A. J. Pearlstein), SIAM J. Appl. Math. 50, 791-818 (1990).

54.  "A Modal Representation of Chaotic Attractors for the Driven, Damped Pendulum Chain'' (with A. R. Bishop, M. G. Forest and E. A. Overman), Phys. Lett. A 29, 17-25 (1990).

55.  "Correlations Between Chaos in a Perturbed Sine-Gordon Equation and a Truncated Model System'' (with A. R. Bishop, R. Flesch, M. G. Forests, and E. A. Overman), SIAM J. Math. 21, 1511-1536 (1990).

56.  "Toward a Topological Classification of Integrable pde's'' (with N. Ercolani), MSR Conference on ''Symplectic Geometry'', ed. by R. Devaney, H. Flaschka, K. Meyer, and T. Ratin (1990)

57.  "Some Notes on Beltrami Fields in Cartesian Geometry'' (with O. Pironneau), J. Math. Phys. 32, 797-804 (1991).

58.  "Notes on Melnikov Integrals for Models of the Driven Pendulum Chain'' (with N. Ercolani and M. G. Forest), unpublished.

59.  "Chaotic and Homoclinic Behavior for Numerical Discretization of Nonlinear Schrödinger'' (with C. Schober), Physica D 57, 447-465 (1992).

60.  "Whiskered Tori for the NLS Equation'', Solitons in the 80's eds. by T. Fokas and V. Zakharov, (1992).

61.  "Attractors and Transients for a Perturbed Periodic KdV Equation: A Nonlinear Spectral Analysis'' (with N. Ercolani and H. Roitner), J. Nonlinear Science 3, 477-539 (1993).

62.  "Strongly Nonlinear Modal Equations for Nearly Integrable PDEs'' (with N. Ercolani, M. G. Forest and A. Sinha), J. Nonlinear Science 3, 393-426 (1993).

63.  "Filamentation and Undulation of Self-Focused Laser Beams in Liquid Crystals'' (with E. Braun, L. R. Faucheux, A. Libchaber, D. Muraki and M. Shelley), Europhys. Lett. 23 (4), 239-244 (1993).

64.  "Light Interacting with Liquid Crystals'' (with D. Muraki and M. Shelley), Physica D 168, 116-126 (1993).

65.  "Whiskered Tori for Integrable pde's: Chaotic Behavior in Near Integrable pde's'' (with E. Overman), Surveys in Appl. Math 1, 83-200 (1994).

66.  "Semi-Classical Behavior in the NLS Equation: Optical Shocks-Focusing Instabilities'' (with J. Bronski), Proc. Lyon Conf. on Dispersive Regularization, 320, 21-38 (1994).

67.  "The Behavior of Solutions of NLS Equation in the Semiclassical Limit'' (with S. Jin and D. Levermore), Proc. Lyon Conf. on Dispersive Regularization, 320, 235-255 (1994).

68.  "Computing the Weak Limit of KdV'' (with J. Strain), to have appeared, Proc. Lyon Conf. on Dispersive Regularization, (1994), (did not appear due to editor's error).

69.  "Calculating the Weak Limit of KdV'' (with J. Strain), Comm. Pure Appl. Math. XLVII, 1-46 (1994).

70.  "Morse and Melnikov Functions for NLS pde's'' (with Y. Li), Comm. Math. Phys. 162, 175-214 (1994).

71.  "A Paraxial Model for Optical Self-Focusing in a Nematic Liquid Crystal'' (with D. Muraki, M. Shelley and X. Wang), Physica D 26, 55-81 (1995).

72.  "Whiskered Tori and Chaotic Behavior in Nonlinear Waves,'' Proceedings of International Congress of Mathematicians, Zürich, 1484-1493 (1995).

73.  "Melnikov Analysis of Numerically Induced Chaos in the Nonlinear Schrödinger Equation'' (with A. Calini, N. M. Ercolani and C. M. Schober), Physica D, 89, 227-260 (1995).

74.  "Persistent Homoclinic Orbits for a Perturbed Nonlinear Schroedinger Equation'' (with Y. Li, J. Shatah and S. Wiggins), Comm. Pure Appl. Math. XLIX, 1175-1255 (1996).

75.  "Self-Focused Optical Structures in a Nematic Liquid Crystal'' (with D. Muraki and M. Shelley), Physica D 97, 471-97 (1996).

76.  "Homoclinic Orbits in a Four Dimensional Model of a Perturbed NLS Equation: A Geometric Singular Perturbation Study'' (with E. Overman, S. Wiggins, and C. Xiong), Dynamics Reported V, 190-287 (1996).

77.  "Melnikov Analysis for Pde's'' (with J. Shatah), Lectures in Applied Mathematics, 31, 51-100 (1996).

78.  "On the Stability of Time-Harmonic Localized States in a Disordered Nonlinear Medium'' (with J. C. Bronski, M. Shelley), J. Stat. Phys. 88, 1077-1115, (1996).

79.  "Homoclinic Orbits for Pde's, in Recent Advances in Partial Differential Equations'' (with J. Shatah), eds. R. Spigler, S. Venakides (proceedings of conference held in Venice in honor of P. D. Lax and L. Nirenberg 70th birthdays) 54 AMS, 281-299 (1998).

80.  "Homoclinic Orbits and Chaos in Discretized Perturbed NLS Systems - Part I. Homoclinic Orbits'' (with Y. Li), J. Nonlinear Science 7, 211-269 (1997).

81.  "A One-Dimensional Model for Dispersive Wave Turbulence'' (with A. Majda and E. Tabak), J. Nonlinear Science 7, 9-44 (1997).

82.  "The Semiclassical Limit of the Defocusing NLS Hierarchy'' (with D. Levermore and Shan Jin), Comm. Pure Appl. Math. LII 613-654 (1999).

83.  "Spatial-Temporal Chaos and Effective Stochastic Dynamics for a Near Integrable Nonlinear System'' (with D. Cai and J. Shatah), Phys. Lett. A 253, 280-86 (1999).

84.  "Focusing-Defocusing Effects for Diffusion Dominated Bistable Optical Arrays'' (with Y. Chen), Journal of the Optical Society B 16 No. 7, 1087-1098 (1999).

85.  "Modelling of Orientation Dynamics in Visual Cortex'' (with R. Shapley, M. Shelley and J. Wielaard), Society for Neuroscience Abstracts 25 (1999).

86.  "Point Neuron and Mean Firing Rate Models of an Input Layer of the Primary Visual Cortex'' (with M. Shelley), preprint (1999).

87.  "Spectral Bifurcations in Dispersive Wave Turbulence'' (with D. Cai, A. Majda, E. Tabak), Proc. Natl. Acad. Sci. USA 96, 14216-14221 (1999).

88.  "Diffraction Effects on Diffusive Bistable Optical Arrays'' (with Y. Chen), Physica D 138, 163-195 (2000).

89.  "Non-Focusing Instabilities in Coupled, Integrable Nonlinear Schrödinger PDE's'' (with M. G. Forest, O. Wright, D. Muraki), Journal of Nonlinear Science 10, 291-331 (2000).

90.  "Propagation of the Electromagnetic Field in Optical Limiting Reverse Saturable Absorbers'' (with S. Kim and M. Potasek), Phys. Rev. A 61, 025801-1 - 025801-4 (2000).

91.  "A Neuronal Network Model of the Macaque Primary Visual Cortex V1: Orientation Tuning and Dynamics in the Input Layer 4Cα" (with R. Shapley, M. Shelley, J. Wielaard), Proc. Nat. Acad. 97, 14, 8087-8092 (2000).

92.  "Chaotic and Turbulent Behavior of Unstable 1-D Nonlinear Dispersive Waves'' (with D. Cai), Journal of Mathematical Physics, 41, 6, 4125-4153 (2000).

93.  "All Optical-Power Limiting''(with M. Potasek and S. Kim), J. Nonlinear Physics and Materials, 9, 343-364 (2000).

94.  "Spatiotemporal Chaos in Spatially Extended Systems'' (with D. Cai and J. Shatah), J. Mathematics and Computers in Simulation 55 (4-6) 329-340 (2001).

95.  "Dispersive Wave Turbulence In One Dimension'' (with D. Cai, A. J. Majda, E. Tabak),  Physica D 152-153 (2001) 551-572.

96.  "How Simple Cells are Made in a Nonlinear Network Model of the Visual Cortex'' (with R. Shapley, M. Shelley, J. Wielaard), Journal of Neural Science, 21 (14), 5203-5211 (July 2001).

97.  "Modulations in the Leading Edges of Midlatitude Storm Tracks'' (with R. Goodman and A. Majda), SIAM Journal on Applied Mathematics 62, 3: 746-776 (2001).

98.  "Lateral Inhibition Generates Simple Cells in a Model of V1 Cortex'' (with R. Shapley, M. Shelley and J. Wielaard), Inv. Ophthalmol and Vis. Sci. 42, (2001).

99.  "Complex Cells in a Simple Cell Network Model of V1 Cortex'' (with R. Shapley, M. Shelley and L. Tao), Society for Neuroscience Abstracts 27, (2001).

100.         "The Nonlinear Schrödinger Equation as both a PDE and a Dynamical System '' (with D. Cai and K.T.R. McLaughlin), Handbook of Dynamical Systems, vol. 2, Elsevier Science B.V. 599-678 (2002).

101.         " States of high conductance in a large-scale model of the visual cortex '' (with R. Shapley, M. Shelley and J. Wielaard), Journal of Computational Neuroscience  13, (2): 93-109 (2002)

102.         "Coarse-Grained Reduction and Analysis of a Network Model of Cortical Response: I. Driftin Grating Stimuli'' (with M. Shelley) Journal of Computational Neuroscience 12 (2): 97-122  (2002).

103.         "Orientation Selectivity: models and neural mechanisms'' (with R. Shapley and M. Shelley), The Handbook of Brain Theory and Neural Networks, Second Edition, MIT Press (2002).

104.         "High Conductance Dynamics of the Primary Visual Cortex. (with R. Shapley, M. Shelley, and J. Jin), Perspectives and Problems in Nonlinear Science: A celebratory volume in honor of Lawrence Sirovich, Springer-Verlag New York, Inc. (2003)

105.         "Large-scale modeling of the primary visual cortex: influence of cortical architecture upon neuronal response" (with R. Shapley and M. Shelley), Journal of Physiology . Paris 97  237-252 (2003).

106.         "An egalitarian network model for the emergence of simple and complex cells in visual cortex" (with L. Tao, M. Shelley and R. Shapley) PNAS 101 (1): 366-371 (2004).

107.         "An effective kinetic representation of fluctuation-driven neuronal networks with application to simple and complex cells in visual cortex" (with D. Cai, L. Tao , M. Shelley) PNAS 101 (20): 7757-7762 (2004).

108.         "An Embedded Network Approach for Scale-Up of Fluctuation-Driven Systems with Preservation of Spike Information" (with D. Cai, L. Tao ) PNAS 101 (39): 14288-14293 (2004).

109.         "Architectural and synaptic mechanisms underlying coherent spontaneous activity in V1" (with D. Cai, A. Rangan ) PNAS 102 (16): 5868- 5873 (2005).

110.         "Modeling the spatiotemporal cortical activity associated with the line-motion illusion in primary visual cortex" (with A. Rangan, D.  Cai) PNAS 102 (52): 18793-18800 (2005).

111.         "Kinetic Theory for Neuronal Network Dynamics" (with D. Cai, L. Tao, A. Rangan) Comm. Math. Sci 4 (1): 97-127 (2006).

112.         "Orientation Selectivity in Visual Cortex by Fluctuation-Controlled Criticality" (with L. Tao, D. Cai, M. Shelley, and R. Shapley) PNAS 103 (34): 12911-12916 (2006).

113.         "Estimation of Synaptic Conductances" (with A. Guillamon and J. Rinsel) J. Physiology- Paris 100 ( 1-3): 31-42 (2006).

114.         "Neuronal Information Encoding and Reduction of Dimension Network Dynamics" (with D. Cai, A. Rangan) SIAM 40 (2) (2007).

115.         "Quantifying Neuronal Network Dynamics through Coarse-Grained Event-Trees" (with A. Rangan, D. Cai) PNAS, 105 (2008), no. 31, 10990-10995.

116.         "The Role of Fluctuations in Coarse-Grained Descriptions of Neuronal Networks" (with D. Cai, L. Tao, M. Shkarayev, A. Rangan, G. Kovacic) Comm. Math. Sci, 10 (2012), no. 1, 307-354.

117.         "Spatiotemporal Dynamics of Neuronal Population Response in the Primary Visual Cortex" (with D. Zhou, A. Rangan, D. McLaughlin, D. Cai) PNAS, 110 (2013), no. 23 9517-9522.



1.               "Theory and Applications of Solitons'' (ed. with H. Flaschka), Proc. of NSF Conf. on Solitons, Special Volume of the Rocky Mountain Math. Journal (1978).

2.               "Inverse Problems'' (ed.), Proc. of AMS-SIAM Conf. 1983.