Shui-Nee Chow

Personal Home Page

http://www.math.gatech.edu/people/faculty/chow,shui-nee.html

Articles in Scholarly Journals [Incomplete List]

  1. A Short Biography of Zhifen Zhang
    Journal of Dynamics and Differential Equations, 2008
  2. Dynamical Order in Systems of Coupled Noisy Oscillators
    Journal of Dynamics and Differential Equations, vol. 19, no. 4, pp. 1007–1036, 2007
  3. An analysis of phase noise and Fokker–Planck equations?
    Journal of Differential Equations, vol. 234, no. 2, pp. 391–411, 2007
  4. Special issue: Cellina and Yorke
    Journal of Differential Equations, vol. 243, no. 2, pp. 123–124, 2007
  5. Model for efficient simulation of spatially incoherent light using the Wiener chaos expansion method
    Optics Letters, vol. 32, no. 21, p. 3188, 2007
  6. Quasiperiodic Dynamics in Bose-Einstein Condensates in Periodic Lattices and Superlattices
    Journal of Nonlinear Science, vol. 17, no. 1, pp. 59–83, 2006
  7. On the number of spikes of solutions for a forced singularly perturbed differential equation
    Annali di Matematica Pura ed Applicata, vol. 185, no. S5, pp. S129–S169, 2005
  8. Quasiperiodic dynamics in Hamiltonian degree of freedom systems far from integrability
    Journal of Differential Equations, vol. 212, no. 2, pp. 366–393, 2005
  9. A geometric proof of separatrix crossing results
    Nonlinear Analysis, vol. 56, no. 7, pp. 1047–1070, 2004
  10. A Short Biography of Shui-Nee Chow
    Journal of Dynamics and Differential Equations, vol. 16, no. 2, pp. 267–270, 2004
  11. Travelling Wave Solutions in a Tissue Interaction Model for Skin Pattern Formation
    Journal of Dynamics and Differential Equations, vol. 15, no. 2/3, pp. 517–534, 2003
  12. Persistence of Invariant Tori on Submanifolds in Hamiltonian Systems
    Journal of Nonlinear Science, vol. 12, no. 6, pp. 585–617, 2002
  13. The cyclicity of period annuli of degenerate quadratic Hamiltonian systems with elliptic segment loops
    Ergodic Theory and Dynamical Systems, vol. 22, no. 2, pp. 349–374, 2002
  14. International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], vol. 11, no. 8, p. 2227, 2001
  15. Transactions of the American Mathematical Society, vol. 352, no. 11, pp. 5179–5212, 2000
  16. Center Manifolds for Invariant Sets
    Journal of Differential Equations, vol. 168, no. 2, pp. 355–385, 2000
  17. Theory and Application of a Nongeneric Heteroclinic Loop Bifurcation
    SIAM Journal on Applied Mathematics, vol. 59, no. 4, p. 1303, 1999
  18. Uniform Long-Time Behavior of Solutions of Parabolic Equations Depending on Slow Time
    Journal of Differential Equations, vol. 150, no. 2, pp. 264–316, 1998
  19. Traveling Waves in Lattice Dynamical Systems
    Journal of Differential Equations, vol. 149, no. 2, pp. 248–291, 1998
  20. Synchronization in lattices of coupled oscillators
    Physica D: Nonlinear Phenomena, vol. 103, no. 1-4, pp. 442–451, 1997
  21. Unbounded Perturbation of the Exponential Dichotomy for Evolution Equations
    Journal of Differential Equations, vol. 129, no. 2, pp. 509–531, 1996
  22. Transactions of the American Mathematical Society, vol. 348, no. 12, pp. 5031–5064, 1996
  23. Proceedings of the American Mathematical Society, vol. 124, no. 04, pp. 1071–1082, 1996
  24. International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], vol. 6, no. 6, p. 1059, 1996
  25. International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], vol. 6, no. 9, p. 1605, 1996
  26. SIAM Journal on Applied Mathematics, vol. 55, no. 6, Article ID 0155090, 1995
  27. Pattern formation and spatial chaos in lattice dynamical systems. I
    IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 42, no. 10, pp. 746–751, 1995
  28. Pattern formation and spatial chaos in lattice dynamical systems. II
    IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 42, no. 10, pp. 752–756, 1995
  29. Invariant Manifolds and Foliations for Quasiperiodic Systems
    Journal of Differential Equations, vol. 117, no. 1, pp. 1–27, 1995
  30. Existence and Roughness of the Exponential Dichotomy for Skew-Product Semiflow in Banach Spaces
    Journal of Differential Equations, vol. 120, no. 2, pp. 429–477, 1995
  31. Floquet bundles for scalar parabolic equations
    Archive for Rational Mechanics and Analysis, vol. 129, no. 3, pp. 245–304, 1995
  32. Lorenz type attractors from codimension one bifurcation
    Journal of Dynamics and Differential Equations, vol. 7, no. 2, pp. 375–407, 1995
  33. Aubry-mather theorem and quasiperiodic orbits for time dependent reversible systems†
    Nonlinear Analysis, vol. 25, no. 9-10, pp. 905–931, 1995
  34. Center manifold and stability for skew-product flows
    Journal of Dynamics and Differential Equations, vol. 6, no. 4, pp. 543–582, 1994
  35. A Free Boundary Problem Related to Condensed Two-Phase Combustion. Part I. Semigroup
    Journal of Differential Equations, vol. 108, no. 2, pp. 342–389, 1994
  36. A Free Boundary Problem Related to Condensed Two-Phase Combustion. Part II. Stability and Bifurcation
    Journal of Differential Equations, vol. 108, no. 2, pp. 390–423, 1994
  37. Floquet Theory for Parabolic Differential Equations
    Journal of Differential Equations, vol. 109, no. 1, pp. 147–200, 1994
  38. Singular Perturbation Problems for a System of Differential-Difference Equations,1.
    Journal of Differential Equations, vol. 112, no. 2, pp. 257–307, 1994
  39. SIAM Journal on Scientific Computing, vol. 15, no. 4, Article ID 0915058, 1994
  40. A normally elliptic Hamiltonian bifurcation
    ZAMP Zeitschrift f�r angewandte Mathematik und Physik, vol. 44, no. 3, pp. 389–432, 1993
  41. Symbolic computation of normal forms for nonlinear Hamiltonian systems
    Journal of Computational and Applied Mathematics, vol. 39, no. 3, pp. 363–378, 1992
  42. On the numerical computation of orbits of dynamical systems: The higher dimensional case
    Journal of Complexity, vol. 8, no. 4, pp. 398–423, 1992
  43. Smoothness of inertial manifolds*1
    Journal of Mathematical Analysis and Applications, vol. 169, no. 1, pp. 283–312, 1992
  44. Normal Form and Linearization for Quasiperiodic Systems
    Transactions of the American Mathematical Society, vol. 331, no. 1, p. 361, 1992
  45. Galerkin approximations for singular linear elliptic and semilinear parabolic problems
    Applicable Analysis, vol. 40, no. 1, pp. 41–52, 1991
  46. Smooth invariant foliations in infinite dimensional spaces
    Journal of Differential Equations, vol. 94, no. 2, pp. 266–291, 1991
  47. On the numerical computation of orbits of dynamical systems: The one-dimensional case
    Journal of Dynamics and Differential Equations, vol. 3, no. 3, pp. 361–379, 1991
  48. Homoclinic bifurcation at resonant eigenvalues
    Journal of Dynamics and Differential Equations, vol. 2, no. 2, pp. 177–244, 1990
  49. Computation of normal forms
    Journal of Computational and Applied Mathematics, vol. 29, no. 2, pp. 129–143, 1990
  50. SIAM Journal on Mathematical Analysis, vol. 21, no. 1, Article ID 0521010, 1990
  51. SIAM Journal on Mathematical Analysis, vol. 20, no. 3, Article ID 0520038, 1989
  52. A Simple Proof of the Uniqueness of Periodic Orbits in the 1:3 Resonance Problem
    Proceedings of the American Mathematical Society, vol. 105, no. 4, p. 1025, 1989
  53. Bifurcation of a Unique Stable Periodic Orbit from a Homoclinic Orbit in Infinite-Dimensional Systems
    Transactions of the American Mathematical Society, vol. 312, no. 2, p. 539, 1989
  54. Uniqueness of periodic orbits of some vector fields with codimension two singularities
    Journal of Differential Equations, vol. 77, no. 2, pp. 231–253, 1989
  55. Erratum
    Journal of Differential Equations, vol. 82, no. 1, p. 206, 1989
  56. Transition layers for singularly perturbed delay differential equations with monotone nonlinearities
    Journal of Dynamics and Differential Equations, vol. 1, no. 1, pp. 3–43, 1989
  57. Bifurcations via singular value decompositions
    Applied Mathematics and Computation, vol. 28, no. 3, pp. 231–245, 1988
  58. Invariant manifolds for flows in Banach spaces
    Journal of Differential Equations, vol. 74, no. 2, pp. 285–317, 1988
  59. Bifurcation of periodic orbits for non-positive definite hamiltonian systems
    Applicable Analysis, vol. 31, no. 3, pp. 163–199, 1988
  60. A bifurcation theorem for critical points of variational problems
    Nonlinear Analysis, vol. 12, no. 1, pp. 51–61, 1988
  61. Characteristic Multipliers and Stability of Symmetric Periodic Solutions of . x   (t) = g(x(t - 1))
    Transactions of the American Mathematical Society, vol. 307, no. 1, p. 127, 1988
  62. Normal forms near critical points for differential equations and maps
    IEEE Transactions on Circuits and Systems, vol. 35, no. 7, pp. 850–862, 1988
  63. Maximum principle of optimal control for functional differential systems
    Journal of Optimization Theory and Applications, vol. 54, no. 2, pp. 335–360, 1987
  64. Bifurcations of subharmonics
    Journal of Differential Equations, vol. 65, no. 3, pp. 304–320, 1986
  65. On the number of critical points of the period
    Journal of Differential Equations, vol. 64, no. 1, pp. 51–66, 1986
  66. Abelian integrals and bifurcation theory
    Journal of Differential Equations, vol. 59, no. 3, pp. 413–436, 1985
  67. A note on: ?Abelian integrals and bifurcation theory?
    Journal of Differential Equations, vol. 59, no. 3, pp. 437–441, 1985
  68. Bifurcation of the Coulomb solution of the Yang-Mills equations with sources
    Physical Review D, vol. 30, no. 6, pp. 1334–1337, 1984
  69. Generic properties of stationary state solutions of reaction-diffusion equations
    Journal of Differential Equations, vol. 53, no. 1, pp. 1–23, 1984
  70. On the transition from supercritical to subcritical Hopf bifurcations
    Mathematical Methods in the Applied Sciences, vol. 4, no. 1, pp. 143–163, 1982
  71. Singular nonlinear equations on an unbounded interval
    Journal of Mathematical Analysis and Applications, vol. 77, no. 2, pp. 642–653, 1980
  72. The parameterized obstacle problem
    Nonlinear Analysis, vol. 4, no. 1, pp. 73–91, 1980
  73. An example of bifurcation to homoclinic orbits
    Journal of Differential Equations, vol. 37, no. 3, pp. 351–373, 1980
  74. A Hopf's bifurcation theorem for nonsimple eigenvalues
    Advances in Applied Mathematics, vol. 1, no. 4, pp. 360–372, 1980
  75. Global Hopf bifurcation from a multiple eigenvalue1
    Nonlinear Analysis, vol. 2, no. 6, pp. 753–763, 1978
  76. The Fuller index and global Hopf bifurcation
    Journal of Differential Equations, vol. 29, no. 1, pp. 66–85, 1978
  77. Periodic solutions of autonomous equations1
    Journal of Mathematical Analysis and Applications, vol. 66, no. 3, pp. 495–506, 1978
  78. Finding Zeroes of Maps: Homotopy Methods That are Constructive With Probability One
    Mathematics of Computation, vol. 32, no. 143, p. 887, 1978
  79. Integral averaging and bifurcation*1
    Journal of Differential Equations, vol. 26, no. 1, pp. 112–159, 1977
  80. Applications of generic bifurcation. II
    Archive for Rational Mechanics and Analysis, vol. 62, no. 3, 1976
  81. A remark on the paper, ?a maximum principle for fourth order ordinary differential equations,? by Chow, Dunninger, and Lasota
    Journal of Differential Equations, vol. 17, no. 1, pp. 44–45, 1975
  82. Applications of generic bifurcation. I
    Archive for Rational Mechanics and Analysis, vol. 59, no. 2, 1975
  83. Lyapunov theory and perturbation of stable and asymptotically stable systems
    Journal of Differential Equations, vol. 15, no. 2, pp. 308–321, 1974
  84. Existence of periodic solutions of autonomous functional differential equations
    Journal of Differential Equations, vol. 15, no. 2, pp. 350–378, 1974
  85. A Maximum Principle for n-Metaharmonic Functions
    Proceedings of the American Mathematical Society, vol. 43, no. 1, p. 79, 1974
  86. SIAM Journal on Applied Mathematics, vol. 26, no. 1, Article ID 0126012, 1974
  87. SIAM Journal on Mathematical Analysis, vol. 5, no. 2, Article ID 0505024, 1974
  88. Fundamental Theory of Contingent Differential Equations in Banach Space
    Transactions of the American Mathematical Society, vol. 179, p. 133, 1973
  89. A maximum principle for fourth order ordinary differential equations
    Journal of Differential Equations, vol. 14, no. 1, pp. 101–105, 1973
  90. Remarks on one-dimensional delay-differential equations
    Journal of Mathematical Analysis and Applications, vol. 41, no. 2, pp. 426–429, 1973
  91. An integral form of the mean value theorem for nondifferentiable mappings
    Journal of Mathematical Analysis and Applications, vol. 38, no. 1, pp. 214–222, 1972
  92. The boundedness and extendibality of differential systems under integral perturbation
    Annali di Matematica Pura ed Applicata, Series 4, vol. 94, no. 1, pp. 377–386, 1972
  93. An Implicit Function Theorem for Nondifferentiable Mappings
    Proceedings of the American Mathematical Society, vol. 34, no. 1, p. 141, 1972
  94. A Norm Condition for Disconjugacy of Complex Differential Systems
    Proceedings of the American Mathematical Society, vol. 34, no. 1, p. 147, 1972