Predrag Cvitanović publications

  1. pdf A chaotic lattice field theory in one dimension (with H. Liang), J. Phys. A 54, (2021) submitted. arXiv.org:2201.11325
  2. pdf Linear encoding of the spatiotemporal cat map (with B. Gutkin, L. Han, R. Jafari and A.K. Saremi), Nonlinearity 34, 2800-2836 (2021); arXiv.org:1912.02940
  3. pdf David Ritz Finkelstein (with L. Susskind), Physics Today 70, No. 2 68-69 (Feb 2017); DOI
  4. pdf Perturbation theory for the Fokker-Planck operator in chaos (with J.M. Heninger and D. Lippolis), Comm. Nonlinear Sci. Numer. Simul. 55, 1628 (2017); arXiv.org:1602.03044
  5. pdf Unstable manifolds of relative periodic orbits in the symmetry-reduced state space of the Kuramoto-Sivashinsky system (with N.B. Budanur), J. Stat. Phys.167, 636-655 (2017), arXiv.org:1509.08133
  6. pdf Estimating the dimension of the inertial manifold from unstable periodic orbits (with X. Ding, K.A. Takeuchi, E. Siminos, and H. Chate), Phys. Rev. Lett. 117, 024101 (2016); arXiv.org:1604.01859
  7. pdf Relative periodic orbits form the backbone of turbulent pipe flows (with N.B. Budanur, K.Y. Short, M. Farazmand and A.P. Willis), J. Fluid Mech. 833, 274-301 (2017), arXiv.org:1504.05825
  8. pdf Neighborhoods of periodic orbits and the stationary distribution of a noisy chaotic system (with J.M. Heninger and D. Lippolis), Phys. Rev. E 062922 (2015); arXiv.org:1507.00462
  9. pdf Periodic orbit analysis of a system with continuous symmetry - A tutorial (with N.B. Budanur and D. Borrero-Echeverry), Chaos J. 25, 073112 (2015); arXiv.org:1411.3303
  10. pdf Periodic eigendecomposition and its application in Kuramoto-Sivashinsky system (with X. Ding), SIAM J. Appl. Dyn. Syst. 15, 1434-1454 (2016), arXiv.org:1406.4885
  11. pdf Reduction of the SO(2) symmetry for spatially extended dynamical systems (with N.B. Budanur, R.L. Davidchack, and E. Siminos), Phys. Rev. Lett. 114, 084102 (2014); arXiv.org:1405.1096
  12. pdf Recurrent flows: The clockwork behind turbulence, J. Fluid Mech. Focus on Fluids 726, 1-4 (2013)
  13. pdf Cartography of high-dimensional flows: A visual guide to sections and slices (with D. Borrero-Echeverry, K. Carroll, B. Robbins and E. Siminos), Chaos 14, 739 (2012); arXiv.org:1209.4915
  14. pdf Revealing the state space of turbulent pipe flow by symmetry reduction (with A.P. Willis and M. Avila), J. Fluid Mech. 721, 514-540 (2013); arXiv.org:1203.3701
  15. pdf Reduction of continuous symmetries of chaotic flows by the method of slices (with S. Froehlich), Comm. Nonlinear Sci. and Numer. Simulat. 17, 2074-2084 (2012); arXiv.org:1101.3037
  16. pdf Continuous symmetry reduction and return maps for high-dimensional flows (with E. Siminos), Physica D 240, 187 (2011); arXiv.org:1006.2362
  17. pdf Geometry of turbulence in wall-bounded shear flows: Periodic orbits, (with J.F. Gibson), Phys. Scr. T 142, 014007 (2010)
  18. pdf How well can one resolve the state space of a chaotic map? (with D. Lippolis), Phys. Rev. Lett. 104, 014101 (2010); arXiv.org:0902.4269
  19. pdf Heteroclinic connections in plane Couette flow (with J. Halcrow, J.F. Gibson and D. Viswanath), J. Fluid Mech. 621, 365 (2009); arXiv.org:0808.1865
  20. pdf Equilibrium and traveling-wave solutions of plane Couette flow (with J.F. Gibson and J. Halcrow), J. Fluid Mech. 638, 243 (2009); arXiv.org:0808.3375
  21. pdf Unstable recurrent patterns in Kuramoto-Sivashinsky dynamics (with Y. Lan), Phys. Rev. E 78, 026208 (2008); arXiv.org:0804.2474
  22. pdf Stable manifolds and the transition to turbulence in pipe flow (with D. Viswanath), J. Fluid Mech. 627, 215 (2009); arXiv.org:0801.1918
  23. pdf On state space geometry of the Kuramoto-Sivashinsky flow in a periodic domain (with R.L. Davidchack and E. Siminos), SIAM J. Appl. Dyn. Syst. 9, 1 (2010); arXiv.org:0709.2944
  24. pdf Visualizing the geometry of state space in plane Couette flow (with J.F. Gibson and J. Halcrow), J. Fluid Mech. 611, 107 (2008); arXiv.org:0705.3957
  25. pdf Variational method for locating invariant tori (with Y. Lan and C. Chandre), Phys. Rev. E 74, 046206 (2006); arXiv.org:nlin.CD/0508026
  26. pdf Wave chaos in elastodynamic cavity scattering (with A. Wirzba and N. Søndergaard), Europhys. Lett. 72, 534 (2005); arXiv.org:nlin.CD/0108053
  27. pdf Ground Control to Niels Bohr: Exploring outer space with atomic physics (with M.A. Porter); featured in I. Peterson, Celestial Atomic Physics, Science News 168 (Sept. 10, 2005); Notices Am. Math. Soc. 52, 1020 (2005) - October 2005 Feature Article; arXiv.org:physics/0505085
  28. pdf Modulated amplitude waves in Bose-Einstein condensates (with M.A. Porter), Phys. Rev. E 69, 047201 (2004); arXiv.org:nonlin.CD/0307032
  29. pdf Variational method for finding periodic orbits in a general flow (with Y. Lan), Phys. Rev. E 69, 016217 (2004); arXiv.org:nlin.CD/0308008
  30. pdf A perturbative analysis of modulated amplitude waves in Bose-Einstein condensates (with M.A. Porter), Chaos 14, 739 (2004); arXiv.org:nlin.CD/0308024
  31. pdf Diagrammatic Young projection operators for U(n) (with H. Elvang and A.D. Kennedy), J. Math. Phys. 46, 043501 (2005); arXiv.org:hep-th/0307186
  32. pdf Stationary modulated-amplitude waves in the 1-D Complex Ginzburg-Landau equation (with Y.  Lan and N. Garnier), Physica D 188, 193 (2004); arXiv.org:nlin.PS/0208001
  33. pdf Cycle expansions for intermittent maps (with R. Artuso, P. Cvitanovi\'c and G. Tanner), Proc. Theo. Phys. Supp. 150, 1 (2003); arXiv.org:nlin.CD/0305008
  34. pdf Periodic orbit theory applied to a chaotically oscillating gas bubble in water (with G. Simon, M.T. Levinsen, I. Csabai and Á. Horváth), Nonlinearity 15, 25 (2002)
  35. pdf Identification of determinism in noisy neuronal systems (with M.W. Slutzky and D.J. Mogul), J. Neuroscience Methods 118, 153 (2002)
  36. pdf Manipulating epileptiform bursting in the rat hippocampus using chaos control and adaptive techiques (with M.W. Slutzky and D.J. Mogul), IEEE Transactions on Biomedical Engineering 50, 559 (2001)
  37. pdf Deterministic chaos and noise in three in vitro hippocampal models of epilepsy (with M.W. Slutzky and D.J. Mogul), Annals of Biomedical Engineering 29, 607 (2001)
  38. pdf Chaotic field theory: A sketch, Physica A 288, 61 (2000);
    arXiv.org:nlin.CD/0001034
  39. pdf Periodic orbit sum rules for billiards: Accelerating cycle expansions (with S.F. Nielsen and P. Dahlqvist), J. Phys. A 32, 6757 (1999); arXiv.org:chao-dyn/9901001
  40. pdf Spectrum of stochastic evolution operators: Local matrix representation approach (with C.P. Dettmann, G. Palla, N. Søndergård and G. Vattay), Phys. Rev. E 60, 3936 (1999); arXiv.org:chao-dyn/9904027
  41. pdf Trace formulas for stochastic evolution operators: Smooth conjugation method (with C.P. Dettmann, R. Mainieri and G. Vattay), Nonlinearity 12, 939 (1999); arXiv.org:chao-dyn/9811003
  42. pdf Trace formulas for stochastic evolution operators: Weak noise perturbation theory (with C.P. Dettmann, R. Mainieri and G. Vattay), J. Stat. Phys 93, 981 (1998); arXiv.org:chao-dyn/9807034
  43. pdf Bifurcation structures in maps of Hénon type (with K.T. Hansen), Nonlinearity 11, 1233 (1998)
  44. pdf Beyond the periodic orbit theory (with Kim Hansen, J. Rolf and G. Vattay), Nonlinearity 11, 1209 (1998); arXiv.org:chao-dyn/9712002
  45. pdf Spatiotemporal chaos in terms of unstable recurrent patterns (with F. Christiansen and V. Putkaradze), Nonlinearity 10, 55 (1997); arXiv.org:chao-dyn/9606016
  46. pdf Cycle expansions for intermittent diffusion (with C.P. Dettmann), Phys. Rev. E 56, 6687 (1997)
  47. pdf Cycle expansion for power spectrum (with A.S. Pikovsky), Proc. SPIE 2038, 290 (1997)
  48. pdf Dynamical averaging in terms of periodic orbits, Physica D 83, 109 (1995)
  49. pdf Transport properties of the Lorentz gas in terms of periodic orbits (with J.-P. Eckmann and P. Gaspard), Chaos, Solitons & Fractals 6, 113 (1995)
  50. pdf A Fredholm determinant for semi-classical quantization (with P.E. Rosenqvist, G. Vattay, and H.H. Rugh), Chaos 3, 619 (1993); arXiv.org:chao-dyn/9307014
  51. pdf Entire Fredholm determinants for evaluation of semi-classical and thermodynamical spectra (with Gábor Vattay), Phys. Rev. Lett. 71, 4138 (1993); arXiv.org:chao-dyn/9307012
  52. pdf Symmetry decomposition of chaotic dynamics (with B. Eckhardt), Nonlinearity 6, 277 (1993); arXiv.org:chao-dyn/9303016
  53. pdf Investigation of the Lorentz Gas in terms of periodic orbits (with P. Gaspard and T. Schreiber), Chaos 2, 85 (1992); arXiv.org:chao-dyn/9312003
  54. pdf Periodic orbit quantization of the anisotropic Kepler problem (with F. Christiansen), Chaos 2, 61 (1992)
  55. pdf Periodic orbit theory in classical and quantum mechanics, Chaos 2, 1 (1992); reprinted in M.C. Gutzwiller, The Interplay between Classical and Quantum Mechanics (AATPT, College Park 2001).
  56. pdf Periodic orbit expansions for classical smooth flows (with B. Eckhardt), J. Phys A 24, L237 (1991)
  57. pdf Periodic orbits as the skeleton of classical and quantum chaos, Physica D 51, 138 (1991)
  58. pdf The spectrum of the period-doubling operator in terms of cycles (with F. Christiansen and H.H. Rugh), J. Phys A 23, L713 (1990)
  59. pdf Recycling of strange sets: II. Applications (with R. Artuso and E. Aurell), Nonlinearity 3, 361 (1990)
  60. pdf Recycling of strange sets: I. Cycle expansions (with R. Artuso and E. Aurell), Nonlinearity 3, 325 (1990)
  61. pdf On the mode-locking universality for critical circle maps (with G.H. Gunaratne and M.J. Vinson), Nonlinearity 3, 873 (1990)
  62. pdf Periodic orbit quantization of chaotic systems (with B. Eckhardt), Phys. Rev. Lett. 63, 823 (1989)
  63. pdf Complex universality (with J. Myrheim), Comm. Math. Phys. 121, 225 (1989)
  64. pdf Phase transitions on strange irrational sets (with A. Artuso and B. Kenny), Phys. Rev. A 39, 268 (1989)
  65. pdf Invariant measurement of strange sets in terms of cycles, Phys. Rev. Lett. 61, 2729 (1988)
  66. pdf Topological and metric properties of Hénon-type attractors (with G.H. Gunaratne and I. Procaccia), Phys. Rev. A 38, 1503 (1988)
  67. pdf Fractal aggregates in the complex plane (with T. Bohr and M.H. Jensen), Europhys. Lett. 6, 445 (1988)
  68. pdf Chaos is good news for physics (with T. Bohr), Nature 329, 391 (1987)
  69. pdf Exploring chaotic motion through periodic orbits (with D. Auerbach, J.-P. Eckmann, G. Gunaratne and I. Procaccia), Phys. Rev. Lett. 58, 2387-2389 (1987)
  70. pdf Renormalization, unstable manifolds and the fractal structure of mode locking (with M.H. Jensen, L.P. Kadanoff and I. Procaccia), Phys. Rev. Lett. 55, 343 (1985)
  71. pdf Scaling laws for mode lockings in circle maps (with B. Shraiman and B. Söderberg), Phys. Scripta 32, 263 (1985)
  72. pdf Farey organization of the fractional Hall effect, Phys. Scripta T9, 202 (1985)
  73. pdf Universality in chaos (or, Feigenbaum for cyclists), lectures given at 1982 Zakopane School of Theoretical Physics, Acta Phys. Polonica A65, 203 (1984)
  74. pdf Universality for period n-tuplings in complex mappings (with J. Myrheim), Phys. Lett. 94A, 329 (1983)
  75. pdf Universalitet i overgang til kaos (with M.H. Jensen), Fysisk Tidsskrift 80, 82 (1982)
  76. pdf The planar sector of field theories (with P.G. Lauwers and P.N. Scharbach), Nucl. Phys. B203, 385 (1982)
  77. pdf Spinors in negative dimensions (with A.D. Kennedy), Phys. Scripta 26, 5 (1982)
  78. pdf The cross-over points in lattice gauge theories with continuous gauge groups (with J. Greensite and B. Lautrup), Phys. Lett. 105B, 201 (1981)
  79. pdf Negative dimensions and E7 symmetry, Nucl. Phys. B188, 373 (1981)
  80. pdf Gauge invariance structure of Quantum Chromodynamics (with P.G. Lauwers and P.N. Scharbach), Nucl. Phys. B186, 165 (1981)
  81. pdf Planar perturbation expansion, Phys. Lett. 99B, 49 (1981)
  82. pdf Parton evolution as a branching process (with P. Hoyer and K. Zalewski), Nucl. Phys. B176, 429 (1980)
  83. pdf Exact solutions of the Altarelli-Parisi equations (with R. Horsley), Nucl. Phys. B173, 229 (1980)
  84. pdf Partons and branching (with P. Hoyer and K. Konishi), Phys. Lett. 85B, 413 (1979)
  85. pdf Color charge algebras in Adler's Chromodynamics (with R.J. Gonsales and D.E. Neville), Phys. Rev. D18, 3881 (1978)
  86. pdf The number and weights of Feynman diagrams (with B. Lautrup and R.B. Pearson), Phys. Rev. D18, 1939 (1978)
  87. pdf Asymptotic estimates and gauge invariance, Nucl. Phys. B127, 176 (1977)
  88. pdf Quantum Chromodynamics on the mass-shell, Nucl. Phys. B130, 114 (1977)
  89. pdf Infra-red structure of Yang-Mills theories, Phys. Lett. 65B, 272 (1976)
  90. pdf Yang-Mills theory of the mass-shell, Phys. Rev. Lett. 37, 1528 (1976)
  91. pdf Group theory for Feynman diagrams in non-Abelian gauge theories, Phys. Rev. D14, 1536 (1976)
  92. pdf Midnight rider, Bike World (August 1974)
  93. pdf Sixth order magnetic moment of the electron (with T. Kinoshita), Phys. Rev. D10, 4007 (1974)
  94. pdf New approach to the separation of ultraviolet and infrared divergences of Feynman-parametric integrals (with T. Kinoshita), Phys. Rev. D10, 3991 (1974)
  95. pdf Feynman-Dyson rules in parametric space (with T. Kinoshita), Phys. Rev. D10, 3478 (1974)
  96. pdf Wide-angle behavior of a double-scattering diagram, Phys. Rev. D10, 338 (1974)
  97. pdf Sixth-order radiative corrections to the electron magnetic moment (with T. Kinoshita), Phys. Rev. Lett. 29, 1534 (1972)
  98. Books, conference proceedings, and other

  99. pdf Chaos: Classical and Quantum (with R. Artuso, R. Mainieri, G. Tanner, G. Vattay and others), advanced graduate e-textbook ChaosBook.org (Niels Bohr Institute, 2012; Oxford Univ. Press, to appear)
  100. pdf Geometry of turbulence in wall-bounded shear flows: A stroll through 61,506 dimensions, (with J.F. Gibson), an introduction to dynamical theory of turbulence; ChaosBook.org/tutorials (Georgia Tech 2012)
  101. pdf A novel approach to the empirical characterization of learning in biological systems (with S.A. Solla and Y. Cohen), in E. Chiappe et. al., ed., Comp. Systems Neuroscience (Cosyne) Conference Proceedings (2019)
  102. pdf Knowing when to stop: How noise frees us from determinism (with D. Lippolis), in M. Robnik and V.G. Romanovski, eds., Let's Face Chaos through Nonlinear Dynamics, pp 82-126 (Am. Inst. of Phys., Melville, New York, 2012); arXiv.org:1206.5506
  103. pdf Revealing the state space of turbulent pipe flow by symmetry reduction (with A.P. Willis and M. Avila), in Jianxiang Wang, ed., Proc. ICTAM 2012 Intern. Congr. Theor. and Appl. Mech., (2012)
  104. pdf Unstable periodic orbits and heteroclinic connections in plane Couette flow (with J. Halcrow, J.F. Gibson and D. Viswanath), short note for Gallery of Fluid Motion, APS Division of Fluid Dynamics meeting (2008); arXiv.org:0810.1974
  105. pdf Geometry of state space in plane Couette flow, (with J.F. Gibson), in B. Eckhardt, ed., Adv. in Turbulence XII, Proc. 12th EUROMECH Eur. Turb. Conf., Marburg, 75 (Springer, New York 2009)
  106. pdf Chaos control of epileptiform bursting in the brain (with M. W. Slutzky and D. J. Mogul), in Control of chaos in nonlinear circuits and systems, by B. W.-K. Ling, H. H.-C. Iu, and H.-K. Lam, eds., (World Scientific, Singapore 2009)
  107. pdf Group Theory - Birdtracks, Lie's, and Exceptional Groups, birdtracks.eu (Princeton Univ. Press, Princeton NJ 2008)
  108. pdf Field theory, notes prepared by Ejnar Gyldenkerne (Nordita, Copenhagen, January 1983); ChaosBook.org/FieldTheory
  109. pdf Quantum Field Theory, lecture notes, ChaosBook.org/FieldTheory (Georgia Tech, 2005)
  110. pdf Tracks, Lie's, and Exceptional Magic, in B. Julia, P. Moussa and P. Vanhove, eds., Number Theory and Physics, Les Houches 2003 Spring School (Springer, New York 2007)
  111. pdf Closed complex rays in scattering from elastic voids, (with A. Wirzba and N. Søndergaard), in B. Nilsson, ed., Mathematical Modelling of Wave Phenomena 2005, AIP Conference Proceedings (2006)
  112. pdf Turbulent fields and their recurrences (with Y.  Lan) in N. Antoniou, ed., Proceed. of 10. Intern. Workshop on Multiparticle Production: Correlations and Fluctuations in QCD , pp. 313-325 (World Scientific, Singapore 2003); arXiv.org:nlin.CD/0308006
  113. pdf State point forcing permits validation of fixed point locations during chaotic epileptic bursting in the rat brain (with D. J. Mogul and M. W. Slutzky), in IEEE Engineering in Medicine & Biology Soc. Annual Conf. 25, 1921 (2003)
  114. pdf Trace formulas in classical dynamical systems, in I.V. Lerner, J. Keating and D.E. Khmelnitskii, eds., Supersymmetry and Trace Formulae: Chaos and Disorder, pp. 85-102 (Plenum, New York 1998)
  115. pdf Quantum fluids and classical determinants (with G. Vattay and A. Wirzba), in H. Friedrich and B. Eckhardt., eds., Classical, Semiclassical and Quantum Dynamics in Atoms Lecture Notes in Physics 485, 29 (Springer, New York 1997); arXiv.org:chao-dyn/9608012
  116. pdf Kvantekaos, KVANT 5, 1 (1994)
  117. pdf Advection of vector fields by chaotic flows (with N.J. Balmforth, G.R. Ierley, E.A. Spiegel and G. Vattay), Stochastic Processes in Astrophysics, Ann. New York Acad. Sci. 706, 148 (1993); arXiv.org:chao-dyn/9307011
  118. pdf A new determinant for quantum chaos (with P.E. Rosenqvist), in G.F. Dell'Antonio, S. Fantoni and V.R. Manfredi, eds., From Classical to Quantum Chaos, Soc. Italiana di Fisica Conf. Proceed. 41, pp. 57-64 (Ed. Compositori, Bologna 1993); arXiv.org:chao-dyn/9304003
  119. pdf Pinball scattering (with B. Eckhardt, P.E. Rosenqvist, G. Russberg and P. Scherer), in G. Casati and B. Chirikov, eds., Quantum Chaos (Cambridge Univ. Press, Cambridge 1994)
  120. pdf Periodic Orbit Theory - theme issue (edited by P. Cvitanovi\'c), Chaos 2, 1-158 (1992)
  121. pdf Quantum Chaos - Quantum Measurement (proceedings edited by P. Cvitanovi\'c, with I. Percival and A. Wirzba) (Kluwer, Dordrecht, 1992)
  122. pdf Kvantes Lykkelige Dag (with Kenneth Krabat), Naturligvis 20 (1991)
  123. pdf The power of chaos, in J.H. Kim and J. Stringer, eds., Applied Chaos (John Wiley & Sons, New York 1992)
  124. pdf Chaos, Order and Patterns (proceedings of a NATO Advanced Institute, Como 1990, edited by P. Cvitanovi\'c, with R. Artuso and G. Casati) (Plenum, New York 1991)
  125. pdf Circle maps: irrationally winding, in C. Itzykson, P. Moussa and M. Waldschmidt, eds., Number Theory and Physics, Les Houches 1989 Spring School (Springer, New York 1992)
  126. pdf Recycling chaos, in A. Ferraz, F. Oliveira and R. Osorio, eds., Nonlinear Physical Phenomena, Brasilia 1989 Winter School (World Scientific, Singapore 1990)
  127. pdf Chaos for cyclists, in F. Moss, ed., Noise and Chaos in Nonlinear Dynamical Systems (Cambridge Univ. Press, Cambridge 1990)
  128. pdf Phase transitions on strange sets, in P. Zweifel, G. Gallavotti and M. Anile, eds., Non-linear Evolution and Chaotic Phenomena, pp. 349-361 (Plenum, New York 1988)
  129. pdf Chaos, Mathematics and Geometry in Science series, British Broadcasting Corporation Open University programme (October 1987)
  130. pdf Chaos and fractals, Sunday science bookcase show, Australian National Broadcasting Corporation (May 1987)
  131. pdf Hausdorff dimension of irrational windings, in R. Gilmore, ed., Proceedings of the XV International Colloquium on Group Theoretical Methods in Physics, pp. 184-198 (World Scientific, Singapore, 1987)
  132. pdf Renormalization description of transitions to chaos, in S. Lundquist, N.H. March and E. Tosatti, eds., Order and Chaos in Non-linear Physical Systems, pp. 73-97 (Plenum, New York 1988)
  133. pdf Circle maps in the complex plane (with M.H. Jensen, L.P. Kadanoff and I. Procaccia), in L. Pietronero and E. Tosatti, eds., Fractals in Physics, Trieste, July 1985 (North Holland, New York, 1985)
  134. pdf Universal scaling laws for maps on the interval and circle maps, in R.W. Boyd, L.M. Narducci and M.G. Raymer, eds., Instabilities and Dynamics of Lasers and Nonlinear Optical Systems, (U. of Cambridge Press, Cambridge, 1985)
  135. pdf Universality in Chaos (Adam Hilger, Bristol, 1984; second expanded edition 1989); reprint selection edited and with introduction by P. Cvitanovi\'c
  136. pdf Universality in transitions to chaos (with M.H. Jensen), in Chaos and universality (Nordita reprint selection, November 1981)
  137. pdf Spin and parity from crossections and angular distributions, in J. Bjorken et al., Notes from the SLAC Theory Workshop on the Psi (SLAC-PUB-1515, Dec. 7, 1974)
  138. pdf Divergence-free Feynman-parametric integrals (Ph.D. Thesis, Cornell Univ., August 1973); published as the three papers [90], [89] and [88] above.
  139. pdf Computer generation of integrands for Feynman parametric integrals, Cornell preprint CLNS-234 (June, 1973) and Proc. 3rd Coll. on Advanced Comp. Meth. in Theoretical Physics, (Marseille, 1973)
  140. pdf Measurement of diffusion coefficients of ribosomes by light mixing spectroscopy, Physics B.S. Thesis (Mass. Inst. of Technology, 1969)

    In preparation; unpublished preprints

  141. pdf Turbulent pipe flow as a guided tour along the neighborhoods of relative periodic orbits (with A.P. Willis, M. Farazmand, K.Y. Short and N.B. Budanur), in preparation, to be submitted to J. Fluid Mech.
  142. pdf Turbulent Kuramoto-Sivashinsky system recycled (with N.B. Budanur and X. Ding), in preparation
  143. pdf Determination of the physical dimension of a dissipative system by periodic orbits (with X. Ding, K.A. Takeuchi, E. Siminos, and H. Chaté), in preparation
  144. pdf Perturbation theory in noisy chaos (with J.M. Heninger and D. Lippolis), in preparation, to be submitted to Comm. Nonlinear Sci. Numer. Simul.
  145. pdf A brief life and death of a torus: computation of quasiperiodic solutions to the Kuramoto-Sivashinsky equation (with A. Fox), in preparation
  146. pdf Slice a heart to keep it ticking: Dreams Of Grand Schemes (with R.O. Grigoriev), in preparation
  147. pdf Periodic orbits of plane Couette flow (with J.F. Gibson), in preparation
  148. pdf Continuous symmetry reduced trace formulas, in preparation
  149. pdf Topological partitioning of escape dynamics in planar Crossed Fields problem (with R. Paskauskas), in preparation
  150. pdf Partially hyperbolic two dimensional invariant tori in three degree of freedom Hamiltonian systems (with R. Paskauskas), in preparation
  151. pdf Steady fast kinematic dynamos: the topological entropy bound and the effect of magnetic field diffusion (with E. Ott), in preparation
  152. pdf Periodic orbit theory of chaotic tunneling (with O. Sigwarth, S. Creagh and N. Whelan), in preparation
  153. pdf Symbolic dynamics and Markov partitions for the stadium billiard (with K.T. Hansen), J. Stat. Phys., (accepted 1996, revised version still not resubmitted); arXiv.org:chao-dyn/9502005
  154. pdf Periodic orbit expansions for power spectra of chaotic systems (with A.S. Pikovsky and M.J. Feigenbaum), Rockefeller Univ. preprint (Oct. 1993)
  155. pdf Classical and exceptional Lie algebras as invariance algebras, Oxford preprint 40/77 (June, 1977) (unpublished)
  156. pdf More on microcanonical paradigm, (with M.J. Feigenbaum, for D. Bensimon, T.C. Halsey, M.H. Jensen, L.P. Kadanoff, A. Libchaber, I. Procaccia, B.I. Shraiman and J. Stavans), (Göteborg 17 Nov. 1985), rejected from every proceedings submitted to.