String References in BibTex from 
     Tim Molteno's Ph.D Thesis
     Chaos and Crisis in Strings
     Otago University, Dunedin, New Zealand
     1994.

--------------------------------------------------------------------------

@string{PLA = "Physics Letters A"}
@string{PRL = "Physical Review Letters"}
@string{PRA = "Physical Review A"}
@string{PRE = "Physical Review E"}
@string{JSV = "Journal of Sound and Vibration"}

%********************************* INTRODUCTION ***************

@BOOK{Tufillaro92,
	AUTHOR = "Tufillaro, N.B. and Abbot, T. and Reilly, J.",
	TITLE = "An experimental approach to nonlinear dynamics and chaos",
	SERIES = "Addison-Wesley studies in nonlinearity",
	PUBLISHER = "Addison-Wesley",
	YEAR = 1992}

@BOOK{Abraham88v4,
	AUTHOR = "Abraham, R. H. and Shaw, C. D.",
	TITLE = "Dynamics: the Geometry of Behaviour",
 VOLUME = 4,
	PUBLISHER = "Aeriel Press",
	YEAR = 1988}

@article{Harrison48,
	AUTHOR = "Harrison, H.",
	TITLE = "Plane and circular motion of a string",
	JOURNAL = "J. Acoust. Soc. Am.",
	VOLUME = 20,
	NUMBER = 6,
	YEAR = 1948,
	PAGES = {874}}

@article{Oplinger60,
	AUTHOR = "Oplinger, D.",
	TITLE = "Frequency response of a nonlinear stretched string",
	JOURNAL = "J. Acoust. Soc. Am.",
	VOLUME = 32,
	NUMBER = 12,
	YEAR = 1960}

@article{Murthy65,
	AUTHOR = "Murthy, G. and Ramakrishna, B.",
	TITLE = "Nonlinear character of resonance in stretched strings",
	JOURNAL = "J. Acoust. Soc. Am.",
	VOLUME = 38,
	NUMBER = 4,
	YEAR = 1965}

@article{Tufillaro91,
	AUTHOR = "Tufillaro, N.B and Holzner, R. and Flepp, L. and Brun, E. and Finardi, M. and Badii, R.",
	TITLE = "Template analysis for a chaotic NMR laser",
	JOURNAL = PRA,
	VOLUME = 44,
	NUMBER = 8,
	YEAR = 1991,
	PAGES = {4786-4788}}

@article{Flepp91,
	AUTHOR = "Flepp, L. and Holzner, R. and Brun, E.",
	TITLE = "Model identification by Periodic-Orbit analysis for NMR-Laser Chaos",
	JOURNAL = PRL,
	VOLUME = 67,
	NUMBER = 17,
	YEAR = 1991,
	PAGES = {2244-2247}}

@article{Lorenz63,
	AUTHOR = "Lorenz, E.N.",
	TITLE = "Deterministic Nonperiodic Flow",
	JOURNAL = "J. Atmos. Sci.",
	VOLUME = 20,
	YEAR = 1963,
	PAGES = {130}}

@article{Gollub75,
	AUTHOR = "Gollub, J.P. and Swinney, H.L.",
	TITLE = "Onset of turbulence in a rotating fluid",
	JOURNAL = PRL,
	VOLUME = 35,
	YEAR = 1975,
	PAGES = {927}}

@article{Swinney78,
	AUTHOR = "Swinney, H.L. and Gollub, J.P.",
	TITLE = "Transition to turbulence",
	JOURNAL = "Physics Today",
	VOLUME = 31,
 NUMBER = 8,
 MONTH = "August",
	YEAR = 1978,
	PAGES = {41}}

@article{Moon79,
	AUTHOR = "Moon, F.C. and Holmes, P.J.",
	TITLE = "A magnetoelastic strange attractor",
	JOURNAL = JSV,
	VOLUME = 65,
	YEAR = 1979,
	PAGES = {285}}



%********************************* CHAPTER 2 ***************

@article{Molteno90,
	AUTHOR = "Molteno, T.C.A. and Tufillaro, N.B.",
	TITLE = "Torus Doubling and Chaotic String Vibrations: Experimental results",
	JOURNAL = JSV,
	VOLUME = 137,
	NUMBER = 2,
	YEAR = 1990,
	PAGES = {327-330}}

@article{Johnson89,
	AUTHOR = "Johnson, J.M. and Bajaj, A.K.",
	TITLE = "Amplitude modulated and chaotic dynamics in resonant motion 
of strings",
	JOURNAL = JSV,
	VOLUME = 128,
	NUMBER = 1,
	YEAR = 1989,
	PAGES = {87-107}}

@article{Bajaj92,
	AUTHOR = "Bajaj, A.K. and Johnson, J.M.",
	TITLE = "On the amplitude dynamics and crisis in resonant motion of 
stretched strings",
	JOURNAL = "Phil. Trans. R. Soc. London A",
	VOLUME = 338,
	YEAR = 1992,
	PAGES = {1-41}}

@article{Miles84,
	AUTHOR = "Miles, John.",
	TITLE = "Resonant, nonplanar motion of a stretched string",
	JOURNAL = "J. Acoust. Soc. Am.",
	VOLUME = 75,
 NUMBER = 5,
	YEAR = 1984,
	PAGES = {1505-1010}}

@article{Miles93,
	AUTHOR = "Miles, John.",
	TITLE = "Damped Spherical Pendulum",
	JOURNAL = JSV,
	VOLUME = 140,
 NUMBER = 5,
	YEAR = 1993,
	PAGES = {327-330}}

@article{Knobloch83,
	AUTHOR = "Knobloch, E. and Weiss, N.O.",
	TITLE = "Bifurcations in a model of magnetoconvection",
	JOURNAL = "Physica D",
	VOLUME = 9,
	YEAR = 1983,
	PAGES = {379-407}}

@article{Tufillaro93,
	AUTHOR = "Tufillaro, N.B.",
	TITLE = "Braid analysis of (low-dimensional) chaos",
	JOURNAL = PRE,
	YEAR = 1994,
	PAGES = {to appear}}

@article{Halsey86,
	AUTHOR = "Halsey, T.C. and Jensen, M.H. and Kadanoff, L.P. and Procaccia, I. and Shraiman, B.I.",
	TITLE = "Fractal measures and their singularities: The characterization of strange sets",
	JOURNAL = PRA,
	VOLUME = 33,
	NUMBER = 2,
	YEAR = 1986,
	PAGES = {1141-1151}}

@article{Farmer83,
	AUTHOR = "Farmer, J.D. and Ott, E. and Yorke, J.A.",
	TITLE = "The dimension of chaotic attractors",
	JOURNAL = "Physica D",
	VOLUME = 7,
	YEAR = 1983,
	PAGES = {153-180}}

@article{Hou90,
	AUTHOR = "Hou,X--.J. and Gilmore,R. and Mindlin,G.B. and Solari,H.G.",
	TITLE = "An efficient algorithm for fast $O(N*\ln(N))$ box counting",
	JOURNAL = PLA,
	VOLUME = 151,
	NUMBER = {1,2},
	YEAR = 1990,
	PAGES = 43}

@article{Liebovitch89,
	AUTHOR = "Liebovitch,L.S. and Toth, T.",
	TITLE = "A fast algorithm to determine fractal dimensions by box counting",
	JOURNAL = PLA,
	VOLUME = 141,
	NUMBER = {8,9},
	YEAR = 1989,
	PAGES = 386}

@article{Block90,
	AUTHOR = "Block, A. and von Bloh,W. and Schnellnhuber,H.J.",
	TITLE = "Efficient box-counting determination of generalized fractal dimensions",
	JOURNAL = PRA,
	VOLUME = 42,
	NUMBER = 4,
	YEAR = 1990,
	PAGES = 1869}

@article{Meisel92,
	AUTHOR = "Meisel L.V. and Johnson,M. and Cote, P.J.",
	TITLE = "Box-counting multifractal analysis",
	JOURNAL = PRA,
	VOLUME = 45,
	NUMBER = 10,
	YEAR = 1992,
	PAGES = {6989,6996}}

@article{Ling92,
	AUTHOR = "Ling, F.H. and Schmidt, G.",
	TITLE = "Box-Counting and Dimensional Analysis of a Pulsar",
	JOURNAL = "Journal of Computational Physics",
	VOLUME = 99,
	YEAR = 1992,
	PAGES = 196}

@article{Grassberger83A,
	AUTHOR = "Grassberger, P.",
	TITLE = "on the fractal dimension of the Henon attractor",
	JOURNAL = PLA,
	VOLUME = 97,
	NUMBER = 6,
	YEAR = 1983,
	PAGES = {224-226}}

@article{Grassberger83B,
	AUTHOR = "Grassberger, P.",
	TITLE = "Generalized dimensions of strange attractors",
	JOURNAL = PLA,
	VOLUME = 97,
	NUMBER = 6,
	YEAR = 1983,
	PAGES = {227-230}}

@article{Grassberger87,
	AUTHOR = "Grassberger, P. and Procaccia, I.",
	TITLE = "FIND THIS TITLE",
	JOURNAL = PRL,
	VOLUME = 58,
	YEAR = 1987,
	PAGES = {2387-2389}}

@article{Grassberger90,
	AUTHOR = "Grassberger,P.",
	TITLE = "An optimized box-assisted algorithm for fractal dimensions",
	JOURNAL = PLA,
	VOLUME = 148,
	NUMBER = {1,2},
	YEAR = 1990,
	PAGES = {63-68}}

@article{Theiler90,
	AUTHOR = "Theiler,J.",
	TITLE = "Estimating fractal dimension",
	JOURNAL = "J. Optical Soc. America A",
	VOLUME = 7,
	NUMBER = 6,
	YEAR = 1990,
	PAGES = {1055-1073}}

@article{Eckmann92,
	AUTHOR = "Eckmann,J.--P. and Ruelle, D.",
	TITLE = "Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems",
	JOURNAL = "Physica D",
	VOLUME = 56,
	YEAR = 1992,
	PAGES = {185-187}}

@article{Greenside82,
	AUTHOR = "Greenside,H.S. and Wolf,A. and Swift,J. and Pignataro,T.",
	TITLE = "Impracticality of a box-counting algorithm for calculating the dimensionality of strange attractors",
	JOURNAL = PRA,
	VOLUME = 25,
	NUMBER = 6,
	YEAR = 1982,
	PAGES = 3543}

!*********************************************************************

@BOOK{Ruelle89,
	AUTHOR = "Ruelle,David",
	TITLE = "Chaotic Evolution and Strange Attractors",
	PUBLISHER = "Cambridge",
	YEAR = 1989}

@BOOK{Morse68,
	AUTHOR = "Morse, P.M. and Ingard, K.U.",
	TITLE = "Theoretical Acoustics",
	PUBLISHER = "McGraw-Hill",
	YEAR = 1968}

@BOOK{Morse36,
	AUTHOR = "Morse, P.M.",
	TITLE = "Vibration and Sound",
 EDITION = "second",
	PUBLISHER = "McGraw-Hill",
	YEAR = 1936}

@BOOK{Arnold83,
	AUTHOR = "Arnold,V.I.",
	TITLE = "Geometrical methods in the theory of ordinary differential equations",
	PUBLISHER = "Springer-Verlag",
	YEAR = 1983}

!*********************************************************************

! Periodic orbit Extraction References

@article{Auerbach87,
	AUTHOR = "Auerbach, D. and Cvitanovic, P. and Eckmann, J.-P. and Gunaratne, G. and Procaccia, I.",
	TITLE = "Exploring chaotic motion through periodic orbits",
	JOURNAL = PRL,
	VOLUME = 58,
	NUMBER = 23,
	YEAR = 1987,
	PAGES = 2387}

@article{Bowen70,
	AUTHOR = "Bowen, R.",
	TITLE = "Markov Partitions for Axiom A diffeomorphisms",
	JOURNAL = "American Journal of Mathematics",
	VOLUME = 92,
	YEAR = 1970,
	PAGES = 725}

@BOOK{Bowen78,
	AUTHOR = "Bowen, R.",
	TITLE = "On Axiom A diffeomorphisms",
	SERIES = "CBMS Regional conference series in mathematics",
	VOLUME = 35,
	PUBLISHER = "A M S Publications",
	ADDRESS = "Providence",
	YEAR = 1970}

@BOOK{Crowell63,
	AUTHOR = "Crowell, R.H. and Fox, R.H.",
	TITLE = "Introduction to Knot Theory",
	PUBLISHER = "Ginn and Co",
	ADDRESS = "Boston",
	YEAR = 1963}

@article{Cvitanovic88,
	AUTHOR = "Cvitanovic, P.",
	TITLE = "Invariant measures of strange sets in terms of cycles",
	JOURNAL = PRL,
	VOLUME = 61,
	NUMBER = 24,
	YEAR = 1988,
	PAGES = 2729}

@article{Eckmann85,
	AUTHOR = "Eckmann, J.-P. and Ruelle, D.",
	TITLE = "Ergodic theory of chaos and strange attractors",
	JOURNAL = "Rev. Mod. Phys",
	VOLUME = 57,
	NUMBER = 3,
	YEAR = 1985,
	PAGES = 617}

@article{Lathrop89,
	AUTHOR = "Lathrop, D.P. and Kostelich, E.J.",
	TITLE = "Characterization of an experimental
Strange Attractor by periodic orbits",
	JOURNAL = PRA,
	VOLUME = 40,
	NUMBER = 7,
	YEAR = 1989,
	PAGES = {4028-4031}}

@BOOK{Guckenheimer83,
	AUTHOR = "Guckenheimer, J. and Holmes, P.",
	TITLE = "Nonlinear Oscillations, Dynamical Systems,
and Bifurcations of Vector Fields",
	PUBLISHER = "Springer-Verlag",
	ADDRESS = "New York",
	YEAR = 1983}

@article{Mindlin90,
	AUTHOR = "Mindlin, G.B. and Hou, X.-J. and Solari, H.G. and Gilmore, R. and Tufillaro, N.B.",
	TITLE = "Classification of Strange attractors by integers",
	JOURNAL = PRL,
	VOLUME = 64,
	NUMBER = 20,
	YEAR = 1990,
	PAGES = {2350-2354}}

@BOOK{Poincare1892,
	AUTHOR = "Poincar\'e, H.",
	TITLE = "Les Methodes Nouvelles de la Mechanique Celeste",
	VOLUME = 1,
	PUBLISHER = "Gauthier-Vallars",
	ADDRESS = "Paris",
	YEAR = 1892}

@BOOK{Press86,
	AUTHOR = "Press, W.H. and Flannery, B.P. and Teukolsky, S.A. and Vetterling, W.T.",
	TITLE = "Numerical Recipes: the art of scientific computing",
	PUBLISHER = "Cambridge University Press",
	ADDRESS = "Cambridge",
	YEAR = 1986}

@article{Solari88,
	AUTHOR = "Solari, H.G. and Gilmore, R.",
	TITLE = "Relative Rotation Rates for driven Dynamical Systems",
	JOURNAL = PRA,
	VOLUME = 37,
	NUMBER = 8,
	YEAR = 1988,
	PAGES = 3096}

@article{Sparrow83,
	AUTHOR = "Sparrow, C.",
	TITLE = "An introduction to the Lorenz Equations",
	JOURNAL = "IEEE CAS",
	VOLUME = 30,
	NUMBER = 8,
	YEAR = 1983,
	PAGES = {533,541}}

@phdthesis{TufillaroPHD,
	AUTHOR = "Tufillaro, N.B.",
	TITLE = "Chaotic themes from strings",
	SCHOOL = "Bryn Mawr College",
	MONTH = "April",
	YEAR = 1990}

!******************

@BOOK{Moon87,
	AUTHOR = "Moon, F.C.",
	TITLE = "Chaotic Vibrations: an introduction for applied scientists and engineers",
	PUBLISHER = "John Wiley \& sons",
	ADDRESS = "New York",
	YEAR = 1987}

@article{Tufillaro89,
	AUTHOR = "Tufillaro, N.B.",
	TITLE = "Nonlinear and chaotic string vibrations",
	JOURNAL = "American Journal of Physics",
	VOLUME = 30,
	NUMBER = 8,
	YEAR = 1989}

@article{Kaneko84,
	AUTHOR = "Kaneko, K.",
	TITLE = "Oscillation and doubling torus",
	JOURNAL = "Progress of Theoretical Physics",
	VOLUME = 72,
	YEAR = 1984,
	PAGES = {202-215}}

@article{Arneodo83,
	AUTHOR = "Arneodo, A. and Coullet, P.H. and Spiegel, E.A.",
	TITLE = "Cascade of period doubling tori",
	JOURNAL = PLA,
	VOLUME = 94,
	YEAR = 1983,
	PAGES = {1-5}}

@article{Gough84,
	AUTHOR = "Gough, C.",
	TITLE = "The nonlinear free vibration of a damped elastic string",
	JOURNAL = "J. Acoustical Soc. Am.",
	VOLUME = 75,
	YEAR = 1984,
	PAGES = {1770-1776}}

@article{Hanson87,
	AUTHOR = "Hanson, R.",
	TITLE = "Optoelectronic detection of string vibration",
	JOURNAL = "The Physics Teacher",
	MONTH = "March",
	YEAR = 1987,
	PAGES = {165-166}}

@article{Grassberger83C,
	AUTHOR = "Grassberger, P. Procaccia, I.",
	TITLE = "Measuring the Strangeness of Strange Attractors",
	JOURNAL = "Physica D",
	VOLUME = 9,
	YEAR = 1983,
	PAGES = {189-208}}

@article{Coullet88,
	AUTHOR = "Coullet, P. and Lega, J.",
	TITLE = "Defect-mediated turbulence in wave patterns",
	JOURNAL = "Europhysics Letters",
	VOLUME = 7,
	NUMBER = 6,
	YEAR = 1988,
	PAGES = {511-516}}

% *********************************************************
% ******* references for the StringII setup chapter *******

@article{Narasimha68,
	AUTHOR = "Narasimha, R.",
	TITLE = "Non-linear vibration of an elastic string",
	JOURNAL = JSV,
	VOLUME = 8,
	NUMBER = 1,
	YEAR = 1968,
	PAGES = {134-146}}

@article{OReilly92,
	AUTHOR = "O'Reilly, O. and Holmes, P.J.",
	TITLE = "Non-linear, non-planar and non-periodic vibrations of a string",
	JOURNAL = JSV,
	VOLUME = 153,
	NUMBER = 3,
	YEAR = 1992,
	PAGES = {413-435}}

@article{Ott90,
	AUTHOR = "Ott, E. and Gregobi, C. and Yorke, J.A.",
	TITLE = "Controlling Chaos",
	JOURNAL = PRL,
	VOLUME = 64,
	NUMBER = 11,
	YEAR = 1990,
	PAGES = {1196-1199}}

@article{Parker87,
	AUTHOR = "Parker, T.S. and Chua, L.O.",
	TITLE = "Chaos: a tutorial for engineers",
	JOURNAL = "Proceedings of the IEEE",
	VOLUME = 75,
	NUMBER = 8,
	YEAR = 1987,
	PAGES = {982-1008}}

@BOOK{Feather64,
	AUTHOR = "Feather, N.",
	TITLE = "Vibrations and waves",
	PUBLISHER = "Penguin",
	ADDRESS = "Middlesex",
	YEAR = 1964}

@BOOK{DDSArticle,
	AUTHOR = "Chrysafis, A.",
	TITLE = "Digital sine-wave synthesis using the DSP56001",
	PUBLISHER = "Motorola Inc.",
	ADDRESS = "Phoenix",
	YEAR = 1988}

@MANUAL{LMF60DataSheet,
	AUTHOR = "{National Semiconductor Inc.}",
	TITLE = "Linear Databook",
	VOLUME = 3,
	SECTION = 1,
	PUBLISHER = "National Semiconductor Inc.",
	ADDRESS = "Phoenix",
	YEAR = 1988,
	PAGES = {8-58}}


@MANUAL{InsideMac,
	AUTHOR = "{Apple Computer Inc.}",
	TITLE = "Inside Macintosh",
	PUBLISHER = "Addison Wesley",
 VOLUME = 4,
	ADDRESS = "Reading MA",
	YEAR = 1986}

@MANUAL{ADSP2105UsersManual,
	AUTHOR = "{Analog Devices Inc.}",
	TITLE = "ADSP-2101/ADSP-2102 User's Manual: Architecture",
	PUBLISHER = "Analog Devices Inc.",
	ADDRESS = "Norwood MA",
	YEAR = 1991}

@MANUAL{AD1876Manual,
	AUTHOR = "{Analog Devices Inc.}",
	TITLE = "AD 1876 Data Sheet",
	PUBLISHER = "Analog Devices Inc.",
	ADDRESS = "Norwood MA."}

@MANUAL{MatlabManual,
	AUTHOR = "{Mathworks Inc.}",
	TITLE = "MATLAB reference guide",
	PUBLISHER = "Mathworks Inc.",
	YEAR = 1993,
	ADDRESS = "Natick MA."}

@MANUAL{DECSCSIguide,
	AUTHOR = "{Digital Equipment Corp.}",
	TITLE = "Small computer systems interface: a developers guide",
	PUBLISHER = "Digital Equipment Corp.",
	ADDRESS = "Maynard MA.",
	MONTH = "December",
	YEAR = 1989}


@MANUAL{MC2681Manual,
	AUTHOR = "{Motorola Inc.}",
	TITLE = "M68000 Family Reference",
	PUBLISHER = "Motorola Inc.",
	SECTION = 6}

% ************************************************************
% ******* references for the Catalogs of Chaos chapter *******

@article{Molteno93,
	AUTHOR = "Molteno, T.C.A.",
	TITLE = "A fast $O(N)$ box counting algorithm for estimating dimensions",
	JOURNAL = "Physical Review E",
	VOLUME = 48,
	NUMBER = 5,
	YEAR = 1993,
	PAGES = {3263-3266}}

@article{Mindlin92,
	AUTHOR = "Mindlin, G.B. and Gilmore, R.",
	TITLE = "Topological analysis and synthesis of choatic time series",
	JOURNAL = "Physica D",
	VOLUME = 58,
	PAGES = {229-242},
	YEAR = 1992}

@article{Rapp93,
	AUTHOR = "Rapp, P.E. and Albano, A.M. and Schmah, T.I. and Farwell, L.A.",
	TITLE = "Filtered noise can mimic low-dimensional chaotic attractors",
	JOURNAL = "Physical Review E",
	VOLUME = 47,
	NUMBER = 4,
	YEAR = 1993,
	PAGES = {2289-2297}}

@article{Markus90,
	AUTHOR = "Markus, M.",
	TITLE = "Chaos in maps with continuous and discontinuous maxima",
	JOURNAL = "Computers in Physics",
	MONTH = "Sept/Oct",
	YEAR = 1990,
	PAGES = {481-493}}

@BOOK{Ott93,
	AUTHOR = "Ott, E.",
	TITLE = "Chaos in Dynamical Systems",
	PUBLISHER = "Cambridge University Press",
	ADDRESS = "Cambridge",
	YEAR = 1993}

% *********************************************************
% ******* references for String II Results chapter *******

@article{Grebogi83,
	AUTHOR = "Grebogi, C. and Ott, E. and Yorke, J.A.",
	TITLE = "Crises, sudden changes in chaotic attractors, and transient chaos",
	JOURNAL = "Physica D",
	VOLUME = 7,
	NUMBER = 1,
	YEAR = 1983,
	PAGES = {181-200}}