Annals of the New York Academy of Sciences

Cover image for Annals of the New York Academy of Sciences

December 1980

Volume 357 Nonlinear Dynamics

Pages ix–xi, 1–505

    1. INTRODUCTION (pages ix–xi)

      Robert H. G. Helleman

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29668.x

  1. Turbulence

    1. Top of page
    2. Turbulence
    3. Ergodic and Integrable Behavior
    4. Physics and Chemistry
    5. Chaotic Maps and Flows
    6. Chemical and Fully Developed Turbulence
    7. Strange Attractors
    1. MEASURES DESCRIBING A TURBULENT FLOW (pages 1–9)

      David Ruelle

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29669.x

    2. MODULATION PATTERNS, MULTIPLE FREQUENCIES, AND OTHER PHENOMENA IN CIRCULAR COUETTE FLOW (pages 10–21)

      M. Gorman, Leslie A. Reith and Harry L. Swinney

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29670.x

    3. A SUBHARMONIC ROUTE TO TURBULENT CONVECTION (pages 22–27)

      J. P. Gollub, S. V. Benson and J. Steinman

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29671.x

    4. WEAKLY NONLINEAR TURBULENCE IN A ROTATING CONVECTION LAYER (pages 28–36)

      K. E. Heikes and F. H. Busse

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29672.x

    5. REALIZABILITY INEQUALITIES AND CLOSED MOMENT EQUATIONS (pages 37–46)

      Robert H. Kraichnan

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29673.x

    6. STOCHASTIZATION AND COLLAPSE OF VORTEX SYSTEMS (pages 47–54)

      E. A. Novikov

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29674.x

  2. Ergodic and Integrable Behavior

    1. Top of page
    2. Turbulence
    3. Ergodic and Integrable Behavior
    4. Physics and Chemistry
    5. Chaotic Maps and Flows
    6. Chemical and Fully Developed Turbulence
    7. Strange Attractors
    1. SOME REMARKS ON THE KORTEWEG-DE VRIES AND HILL'S EQUATIONS (pages 55–64)

      P. Deift and E. Trubowitz

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29675.x

    2. LINKED TWIST MAPPINGS HAVE THE K-PROPERTY (pages 65–76)

      Maciej Wojtkowski

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29676.x

    3. SOME EXAMPLES OF STOCHASTIC BEHAVIOR (pages 77–79)

      Michael Brin

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29677.x

    4. THE CALCULATION OF KAM SURFACES (pages 80–89)

      John M. Greene

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29678.x

    5. NUMERICAL EXPERIMENTS IN STOCHASTICITY AND HOMOCLINIC OSCILLATION (pages 108–118)

      Stephen R. Channon and Joel L. Lebowitz

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29680.x

    6. ERGODIC AND KINETIC PROPERTIES OF THE LORENTZ GAS (pages 143–149)

      Ya. G. Sinai and S. M. Ulam

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29682.x

    7. REDUCED DESCRIPTION IN NONEQUILIBRIUM STATISTICAL MECHANICS (pages 150–156)

      Joel L. Lebowitz

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29683.x

  3. Physics and Chemistry

    1. Top of page
    2. Turbulence
    3. Ergodic and Integrable Behavior
    4. Physics and Chemistry
    5. Chaotic Maps and Flows
    6. Chemical and Fully Developed Turbulence
    7. Strange Attractors
    1. SELECTIVE DECAY HYPOTHESIS AT HIGH MECHANICAL AND MAGNETIC REYNOLDS NUMBERS (pages 203–222)

      William H. Matthaeus and David Montgomery

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29687.x

    2. PLASMA TRANSPORT IN THREE DIMENSIONS (pages 223–235)

      Harold Grad

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29688.x

    3. NONLINEAR INTERACTION OF COLLIDING BEAMS IN PARTICLE STORAGE RINGS (pages 236–248)

      J. C. Herrera and M. Month

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29689.x

    4. FRACTAL ASPECTS OF THE ITERATION OF z [RIGHTWARDS ARROW]Λz(1- z) FOR COMPLEX Λ AND z (pages 249–259)

      Benoit B. Mandelbrot

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29690.x

  4. Chaotic Maps and Flows

    1. Top of page
    2. Turbulence
    3. Ergodic and Integrable Behavior
    4. Physics and Chemistry
    5. Chaotic Maps and Flows
    6. Chemical and Fully Developed Turbulence
    7. Strange Attractors
    1. NONLINEAR PHENOMENA IN ECOLOGY AND EPIDEMIOLOGY (pages 267–281)

      Robert M. May

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29692.x

    2. NOISY PERIODICITY AND REVERSE BIFURCATION (pages 282–291)

      Edward N. Lorenz

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29693.x

    3. TWO TYPES OF HOPF BIFURCATION POINTS: SOURCES AND SINKS OF FAMILIES OF PERIODIC ORBITS (pages 300–304)

      John Mallet-Paret and James A. Yorke

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29695.x

    4. A HORSESHOE IN THE DYNAMICS OF A FORCED BEAM (pages 313–321)

      Jerrold Marsden and Philip Holmes

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29697.x

    5. DIFFERENTIABILITY AND CONTINUITY OF INVARIANT MANIFOLDS (pages 322–329)

      C. C. Pugh and M. Shub

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29698.x

    6. ON THE ABUNDANCE OF CHAOTIC BEHAVIOR IN ONE DIMENSION (pages 337–342)

      P. Collet and J.-P. Eckmann

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29700.x

    7. ONE-DIMENSIONAL DYNAMICS (pages 343–347)

      John Guckenheimer

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29701.x

    8. STRANGE ATTRACTORS FOR THE LOZI MAPPINGS (pages 348–358)

      Michal Misiurewicz

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29702.x

  5. Chemical and Fully Developed Turbulence

    1. Top of page
    2. Turbulence
    3. Ergodic and Integrable Behavior
    4. Physics and Chemistry
    5. Chaotic Maps and Flows
    6. Chemical and Fully Developed Turbulence
    7. Strange Attractors
    1. FULLY DEVELOPED TURBULENCE AND INTERMITTENCY (pages 359–367)

      Uriel Frisch

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29703.x

    2. SCALIAG AND STRUCTURES IN FULLY TURBUI-ENT FLOWS (pages 368–376)

      Eric D. Siggia and Hassan Aref

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29704.x

    3. EXPERIMENTAL STUDY OF THE TRANSITION TO TURBULENCE IN THE BELOUSOV-ZHABOTINSKY REACTION (pages 377–396)

      C. Vidal, J.-C. Roux, S. Bachelart and A. Rossi

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29705.x

    4. STOCHASTIC ASPECTS OF BIFURCATIONS IN REACTION-DIFFUSION SYSTEMS (pages 410–421)

      M. Malek Mansour and G. Nicolis

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29707.x

  6. Strange Attractors

    1. Top of page
    2. Turbulence
    3. Ergodic and Integrable Behavior
    4. Physics and Chemistry
    5. Chaotic Maps and Flows
    6. Chemical and Fully Developed Turbulence
    7. Strange Attractors
    1. STRANGE ATTRACTORS IN MODERN PHYSICS (pages 435–452)

      M. I. Rabinovich

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29709.x

    2. POWER SPECTRA AND MIXING PROPERTIES OF STRANGE ATTRACTORS (pages 453–471)

      Doyne Farmer, James Crutchfield, Harold Froehling, Norman Packard and Robert Shaw

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29710.x

    3. CONJECTURES ON THE ROUTES TO TURBULENCE VIA BIFURCATIONS (pages 489–505)

      G. Iooss and W. F. Langford

      Version of Record online: 16 DEC 2006 | DOI: 10.1111/j.1749-6632.1980.tb29712.x

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