91Ҹ and Publications

Books

  • MacKay, R. S. and J.D. Meiss, Eds. (1987).Hamiltonian Dynamical Systems: a reprint selection. London, Adam-Hilgar Press, 784pp., ISBN 0-85274-205-3. ()
  • Hazeltine, R. D. and J.D. Meiss (1991).Plasma Confinement. Redwood City, CA, Addison-Wesley, 394 pp., ISBN 0201-53353-5.
  • R.D. Hazeltine and J.D. Meiss,, (2003) 2nd Edition, Dover Press, 480 pp., ISBN 0486432424. ()
  • J.D. Meiss,, (2007) SIAM, Philadelphia 412 pp., ISBN 978-0-899816-35-1.
  • Meiss, J.D., . (2017) SIAM, Philadelphia, 392 pp., ISBN 978-1-61197-463-8.

Pedagogical Articles

  • J.D. Meiss,Symplectic Maps, Variational Principles, and Transport,(reprint)
  • J.D. Meiss,Hamiltonian Systems,Symplectic Maps, andThe Standard Map, articles in the, ed. Alwyn Scott. (New York, Routledge) (2005). ISBN: 1-57958-385-7
  • J.D. Meiss, Dynamical systems,.
  • J.D. Meiss, Hamiltonian systems,.
  • J.D. Meiss, "Visual Explorations of Dynamics: the Standard Mapping",(), (Corrected reprint).
  • J.D. Meiss, "Thirty Years of Turnstiles and Transport",()
  • J.D. Meiss, "Ordinary Differential Equations",
  • J.D. Meiss "Integrability, Anti-Integrability and Volume-Preserving Maps",

Fields of 91Ҹ

Computational Topology

  • V. Robins, J.D. Meiss, and E. Bradley, "Computing Connectedness: an exercise in computational topology",. ().
  • V. Robins, J.D. Meiss, and L. Bradley, "Computing Connectedness: Disconnectedness and Discreteness",. (PDF reprint),
  • Z. Alexander, J.D. Meiss, E. Bradley, and J. Garland, "Iterated Function System Models in Data Analysis: Detection and Separation",. ().
  • Z. Alexander, E. Bradley, J.D. Meiss, and N. Sanderson, "Simplicial Multivalued Maps and the Witness Complex for Dynamical Analysis of Time Series",. ().
  • J. Garland, E. Bradley and J.D. Meiss, "Exploring the Topology of Dynamical Reconstructions", ().
  • Deshmukh, V., T.E. Berger, E. Bradley, and J.D. Meiss, "Leveraging the Mathematics of Shape for Solar Magnetic Eruption Prediction", . ()
  • Deshmukh, V., V., E. Bradley, J. Garland, J.D. Meiss, "Using Curvature to Select the Time Lag for Delay Reconstruction", . ()
  • Deshmukh, V., T. Berger, J.D. Meiss and E. Bradley "Shape-based Feature Engineering for Solar Flare Prediction", . ()
  • Deshmukh, V., E. Bradley, J. Garland, J.D. Meiss "Towards automated extraction and characterization of scaling regions in dynamical systems", . ()
  • Deshmukh,V. R. Meikle, E. Bradley, J.D. Meiss, and J. Garland "Using scaling-region distributions to select embedding parameters", ()
  • Deshmukh, V., S. Baskar, T.E. Berger, E. Bradley, and J.D. Meiss, "Comparing Feature Sets and Machine Learning Models for Prediction of Solar Flares:Topology, Physics, and Model Complexity", ()

Fluid Dynamics

  • P. Mullowney, K. Julian and J.D. Meiss, "Blinking rolls: chaotic advection in a 3D flow with an Invariant",. (PDF reprint)
  • P. Mullowney, K. Julien, and J.D. Meiss, "Chaotic Advection in the Küppers-Lortz State",. ()
  • B.A. Mosovsky, M.F.M. Speetjens, and J.D. Meiss, "Finite-Time Transport in Volume-Preserving Flows",
  • R.M. Neupauer, J.D. Meiss, and D.C. Mays "Chaotic advection and reaction during engineered injection and extraction in heterogeneous porous media",.
  • K.R. Pratt, J.D. Meiss, and J.P. Crimaldi, "Reaction Enhancement of Initially Distant Scalars by Lagrangian Coherent Structures",. (Preprint).
  • Mitchell, R.A., and J.D. Meiss, "Designing a Finite-Time Mixer: Optimizing Stirring for Two-Dimensional Maps." . ().
  • Dullin, H.R., J.D. Meiss, and J. Worthington, "Poisson Structure of the Three-Dimensional Euler Equations in Fourier Space." . ().

Hamiltonian Dynamics

  • J.D. Meiss, "Transport Near the Onset of Chaos", Physics Today, Physics News of 1986, January (1987).
  • R.S. MacKay and J.D. Meiss, "The Relation between Quantum and Classical Thresholds for Multi-photon Ionization of Excited Atoms",.
  • J.D. Meiss, "Comment on Microwave Ionization of H-atoms: breakdown of classical dynamics for high frequencies",.
  • E. Bollt and J.D. Meiss, "Targeting Chaotic Orbits to the Moon",. (PDF reprint)
  • J.E. Howard and J.D. Meiss "Straight Line Orbits in Hamiltonian Flows",. ().
  • J.G. Restrepo and J.D. Meiss, "Onset of Synchronization in the Disordered Hamiltonian Mean Field Model",. ().
  • Y.S. Virkar, J.G. Restrepo and J.D. Meiss, "The Hamiltonian Mean Field model: effect of network structure on synchronization dynamics",. ().
  • Duignan, N. and J.D. Meiss, "Nonexistence of Invariant Tori Transverse to Foliations: An Application of Converse KAM Theory", . ()
  • Duignan, N. and J.D. Meiss "Distinguishing between Regular and Chaotic orbits of Flows by the Weighted Birkhoff Average", ()
  • J.D. Meiss "Hamiltonian Triplet Interactions: Areal and Perimetric Forces", accepted for SIAM J. Dyn. Systems (2025). ()

Plasma Physics

  • Meiss, J.D. and C. W. Horton, "Drift-Wave Turbulence from a Soliton Gas." .
  • Meiss, J.D. and C. W. Horton, "Fluctuation Spectra of a Drift Wave Soliton Gas." .
  • Meiss, J.D. and C. W. Horton (1983). "Solitary Drift Waves in the Presence of Magnetic Shear." .
  • Meiss, J.D. and P. J. Morrison, "Nonlinear Electron Landau Damping of Ion Acoustic Solitons." .
  • Horton, W., J. Liu, J.D. Meiss and J. E. Sedlak, "Solitary Vortices in a Rotating Plasma." .
  • Mirnov, V.V., J.D. Meiss and J. L. Tennyson (1986). "Relaxation to the Steady State in Neutral-Beam Injected Mirrors", .
  • Aydemir, A., R.D. Hazeltine, J.D. Meiss, and M. Kotschenreuther, "Destabilization of Alfven-Resonant Modes by Resistivity and Diamagnetic Drifts", .
  • Meiss, J.D., "Transport Near the Onset of Chaos", Physics Today, Physics News of 1986, January (1987).
  • Aydemir, A. Y., R.D. Hazeltine, M. Kotschenreuther, J.D. Meiss, P.J. Morrison, D.W Ross, F. L. Waelbroeck, J.C. Wiley, "Nonlinear MHD Studies in Toroidal Geometry", Plasma Physics and Controlled Nuclear Fusion 91Ҹ 1988, Lausanne, Switzerland (International Atomic Energy Agency, Vienna, 1989), 131-143.
  • Meiss, J.D., "Comment on Microwave Ionization of H-atoms: breakdown of classical dynamics for high frequencies", .
  • Meiss, J.D. and R.D. Hazeltine, "Canonical Coordinates for Guiding Center Particles", .
  • Hayashi, T., T. Sato, H.J. Gardner and J.D. Meiss, "Evolution of Magnetic Islands in a Heliac", .
  • Tennyson, J.L., J.D. Meiss and P.J. Morrison, "Self-Consistent Chaos in the Beam-Plasma Instability", . (PDF reprint).
  • Burby, J., N. Duignan and J.D. Meiss, "Integrability, Normal Forms, and Magnetic Axis Coordinates", . ()
  • Duignan, N. and J.D. Meiss, "Normal Forms and Near-Axis Expansions for Beltrami Magnetic Fields", ()
  • Burby, J., N. Duignan and J.D. Meiss, "Minimizing Separatrix Crossings through Isoprominence", ()

Classes of Dynamical Systems

Area-Preserving Maps

  • R. S. MacKay, J.D. Meiss, and I. C. Percival, "Resonances in Area Preserving Maps",.
  • Q. Chen and J.D. Meiss, "Flux, Resonances and the Devil's Staircase for the Sawtooth Map",.
  • J.D. Meiss and R.L. Dewar, "Minimizing Flux", Proceedings of the Centre for Mathematical Analysis, Australian National University, Mini-conference on CHAOS & ORDER, 1-3 February 1990, Canberra Australia, Nalini Joshi and Robert L. Dewar (eds.), (World Scientific, Singapore, 1991) pp. 97-103.
  • J.D. Meiss, "Phenomenology of Area Preserving Twist Maps", in Nonlinear Dynamics and Chaos, R. L. Dewar and B. I. Henry (eds.), (World Scientific Press, 1992), pp. 15-40.
  • J.D. Meiss, "Regular Orbits for the Stadium Billiard", in Quantum Chaos-Quantum Measurement, P. Cvitanovic, I. Percival and A. Wirzga (eds.) (Kluwer Academic, Dordrecht, 1991), NATO ASI Series C Vol 358, pp. 145-166.
  • R.L. Dewar and J.D. Meiss, "Flux-Minimizing Curves for Reversible Area-Preserving Maps",(PDF reprint).
  • J.D. Meiss, "Cantori for the Stadium Billiard",.
  • J.D. Meiss, "Regular Orbits for the Stadium Billiard", InQuantum Chaos-Quantum MeasurementP. Cvitanovic, I. C. Percival and A. Wirzba. (Dordrecht, Kluwer Academic) 145-166 (1992).
  • J.D. Meiss, "Transient Measuresfor the Standard Map",. (PDF reprint).
  • H. E. Lomelí and J.D. Meiss "Heteroclinic Orbits and Transport in a Perturbed, Integrable Standard Map".. ()
  • H.R. Dullin, D. Sterling and J.D. Meiss "Self-Rotation Number using the Turning Angle",.
  • J.D. Meiss, "Visual Explorations of Dynamics: the Standard Mapping",(). (Corrected reprint).
  • M. Gidea, J.D. Meiss, I. Ugarcovici, H. Weiss, "Applications of KAM Theory to Population Dynamics",.
  • A.M. Fox and J. D. Meiss, "Critical Invariant Circles in Asymmetric and Multiharmonic Generalized Standard Maps",. ()
  • O. Alus, S. Fishman, and J.D. Meiss, "Statistics of the Island-Around-Island Hierarchy in Hamiltonian Phase Space",. ()
  • J.D. Meiss, "Thirty Years of Turnstiles and Transport",()
  • Lerman, L.M. and J.D. Meiss, "Mixed Dynamics in a Parabolic Standard Map", . ().
  • Alus, O., S. Fishman, and J.D. Meiss, "Probing the statistics of transport in the Henon Map", () ().
  • Mitchell, R.A. and J.D. Meiss, "Designing a Finite-Time Mixer: Optimizing Stirring for Two-Dimensional Maps", . ().
  • Alus, O., S. Fishman, and J.D. Meiss, "Universal exponent for transport in mixed Hamiltonian dynamics", ().
  • Sander, E. and J.D. Meiss, "Birkhoff Averages and Rotational Invariant Circles for Area-Preserving Maps", ().
  • Lomelí, H.E. and J.D. Meiss, "Symmetry Reduction and Rotation Numbers for Poncelet maps", submitted to Nonlinearity (2023) ().

Symplectic Maps

  • H.T. Kook and J.D. Meiss, "Periodic Orbits for Reversible, Symplectic Mappings",.
  • H.T. Kook and J.D. Meiss, "Application of Newton's Method to Lagrangian Dynamical Systems",.
  • R.S. MacKay, J.D. Meiss, and J. Stark, "Converse KAM Theory for Symplectic Twist Maps",.
  • H.T. Kook and J.D. Meiss, "Diffusion in Symplectic Maps",.
  • J.D. Meiss,Symplectic Maps, "Variational Principles, and Transport",
  • E.Bollt and J.D. Meiss, "Breakup of Invariant Tori for the Four Dimensional Semi-Standard Map",. (PDF reprint).
  • R.W. Easton, J.D. Meiss and S. Carver, "Exit Timesand Transport for Symplectic Twist Maps",.
  • E. Bollt and J.D. Meiss, "Controlling Transport Through Recurrences",.
  • MacKay, R. S., J.D. Meiss and J. Stark, "An Approximate Renormalization for the Break-up of Invariant Tori with Three Frequencies",. (reprint).
  • J.D. Meiss, "Towards an Understanding of the Break-up of Invariant Tori", in Proceedings of the International Conference on Dynamical Systems and Chaos, Y. Aizawa, S. Saito and K. Shiraiwa (eds.), (World Scientific,Singapore), 385-394 (1995). (PDF Preprint)
  • J.D. Meiss, "On the Break-up of Invariant Tori with Three Frequencies", In Hamiltonian Systems with Three or More Degrees of Freedom (Ed, Simo, C.) Kluwer, Sagaro, Spain, pp. 494-498 (1999). (PDF Preprint)
  • H.R. Dullin and J.D. Meiss, "Stability of Minimal Periodic Orbits",. (PDF reprint)
  • Bäcker, A. and J.D. Meiss, "Moser's Quadratic, Symplectic Map", . ().
  • Bäcker, A. and J.D. Meiss, (2018).
  • Bäcker, A. and J.D. Meiss, "The Quadfurcation", "Elliptic Bubbles in Moser's 4D Quadratic Map: the Quadfurcation", , ().

Three-dimensional Maps

  • Meiss, J.D., "Average Exit Times in Volume-Preserving Maps", . (PDF reprint).
  • Lomelí, H.E. and J.D. Meiss, "Quadratic Volume-Preserving Maps", . () (PDF preprint).
  • Lenz, K.E., H.E. Lomelí and J.D. Meiss, "Quadratic Volume Preserving Maps: an Extension of a Result of Moser", . (PDF preprint).
  • Lomelí, H.E. and J.D. Meiss, "Heteroclinic Primary Intersections and Codimension one Melnikov Method for Volume-Preserving Maps", (PDF reprint),
  • Gomez, A. and J.D. Meiss, "Volume-Preserving Maps with an Invariant", . (PDF reprint)
  • Lomelí, H.E. and J.D. Meiss, "Heteroclinic intersections between Invariant Circles of Volume-Preserving Maps", () (PDF preprint)
  • Mullowney, P., K. Julian and J.D. Meiss, "Blinking rolls: chaotic advection in a 3D flow with an Invariant", . (PDF reprint)
  • Wysham, D.B. and J.D. Meiss, "Numerical Computation of the Stable Manifolds of Tori", . ()
  • Gonchenko, S.V., J.D. Meiss and I.I. Ovsyannikov, "Chaotic Dynamics of Three-Dimensional Henon Maps That Originate from a Homoclinic Bifurcation", ().
  • Meiss, J.D. "Dynamics of Volume-Preserving Maps",
  • Dullin, H.R. and J.D. Meiss, "Nilpotent Normal form for Divergence Free Vector Fields and Volume-Preserving Maps", ().
  • Lomelí, H.E., J.D. Meiss, and R. Ramirez-Ros, "Canonical Melnikov Theory for Diffeomorphisms", ().
  • Mullowney, P., K. Julien, and J.D. Meiss, "Chaotic Advection in the Kuppers-Lortz State", . ().
  • Lomelí, H.E. and J.D. Meiss, "Generating Forms for Exact Volume-Preserving Maps", ().
  • Dullin, H.R. and J.D. Meiss, "Quadratic Volume-Preserving Maps: Invariant Circles and Bifurcations", ().
  • Lomelí, H.E. and J.D. Meiss, "Resonance Zones and Lobe Volumes for Volume-Preserving Maps", ().
  • Dullin, H.R. and J.D. Meiss, "Resonances and Twist in Volume-Preserving Maps", ().
  • Meiss, J.D., "The Destruction of Tori in Volume-Preserving Maps", ().
  • Dullin, H. R., H. Lomelí and J.D. Meiss, "Symmetry Reduction by Lifting for Maps", ().
  • Fox, A.M. and J.D. Meiss, "Greene's Residue Criterion for the Breakup of Invariant Tori of Volume-Preserving Maps", . ().
  • Fox, A. M. and J.D. Meiss, "Computing the Conjugacy of Invariant Tori for Volume-Preserving Maps", SIAM J. Appl. Dyn. Sys. 15(1): 557-579 (2016) . ().
  • Guillery, N. and J.D. Meiss, "Diffusion and Drift in Volume-Preserving Maps", . ().
  • Meiss, J.D., N. Miguel, C. Simo, A. Vieiro, "Accelerator modes and anomalous diffusion in 3D volume-preserving maps", . ()
  • Meiss, J.D. and E. Sander, "Birkhoff Averages and the Breakdown of Invariant Tori in Volume-Preserving Maps", , ()
  • Hampton, A.E. and J.D. Meiss, "Anti-Integrability for Three-Dimensional Quadratic Maps", , ()
  • Hampton, A.E. and J.D. Meiss, “The three-dimensional generalized Hénon map: Bifurcations and attractors”, ()
  • Hampton, A.E. and J.D. Meiss, “Connecting Anti-integrability to Attractors for Three-Dimensional, Quadratic Diffeomorphisms” ()

Phemomena and Methods

Anti-Integrability

  • Q. Chen, R.S. MacKay, and J.D. Meiss, "Cantori for Symplectic Maps",.
  • R.S. MacKay and J.D. Meiss, "Cantori for Symplectic Maps near the Anti-integrable Limit",.
  • D. Sterling and J.D. Meiss, "Computing Periodic Orbits using the Anti-Integrable Limit",. ()
  • D. Sterling, H. R. Dullin and J.D. Meiss, "Homoclinic Bifurcations for the Hénon Map",. ().
  • R. W. Easton, J.D. Meiss, G. Roberts, "Drift by Coupling to an Anti-Integrable Limit",. (PDF reprint)
  • H.R. Dullin, J.D. Meiss, and D. Sterling, "Symbolic Codes for Rotational Orbits",. () (PDF reprint)
  • J.D. Meiss "Integrability, Anti-Integrability and Volume-Preserving Maps",
  • Hampton, A.E. and J.D. Meiss "Anti-Integrability for Three-Dimensional Quadratic Maps", , ()
  • Hampton, A.E. and J.D. Meiss, “The three-dimensional generalized Hénon map: Bifurcations and attractors”, ()
  • Hampton, A.E. and J.D. Meiss, “Connecting Anti-integrability to Attractors for Three-Dimensional, Quadratic Diffeomorphisms” ()

Converse KAM Theory

  • MacKay, R.S., J.D. Meiss, and J. Stark, "Converse KAM Theory for Symplectic Twist Maps", .
  • Duignan, N. and J.D. Meiss "Nonexistence of Invariant Tori Transverse to Foliations: An Application of Converse KAM Theory", . ()

Invariant Tori

  • E.Bollt and J.D. Meiss, "Breakup of Invariant Tori for the Four Dimensional Semi-Standard Map",. (PDF reprint).
  • MacKay, R. S., J.D. Meiss and J. Stark, "An Approximate Renormalization for the Break-up of Invariant Tori with Three Frequencies",. (PDF reprint).
  • J.D. Meiss, "Towards an Understanding of the Break-up of Invariant Tori", in Proceedings of the International Conference on Dynamical Systems and Chaos, Y. Aizawa, S. Saito and K. Shiraiwa (eds.), (World Scientific,Singapore), 385-394 (1995). (PDF Preprint)
  • J.D. Meiss, "On the Break-up of Invariant Tori with Three Frequencies", In Hamiltonian Systems with Three or More Degrees of Freedom (Ed, Simo, C.) Kluwer, Sagaro, Spain, pp. 494-498 (1999). (PDF Preprint)
  • D.B. Wysham and J.D. Meiss, "Numerical Computation of the Stable Manifolds of Tori",. ()
  • H.R. Dullin and J.D. Meiss, "Quadratic Volume-Preserving Maps: Invariant Circles and Bifurcations",()
  • J.D. Meiss, "The Destruction of Tori in Volume-Preserving Maps",()
  • A.M. Fox and J. D. Meiss, "Greene's Residue Criterion for the Breakup of Invariant Tori of Volume-Preserving Maps",. ()
  • A.M. Fox and J. D. Meiss, "Critical Invariant Circles in Asymmetric and Multiharmonic Generalized Standard Maps",()
  • A.M. Fox and J. D. Meiss, "Efficient Computation of Invariant Tori in Volume-Preserving Maps", submitted to SIAM J. Dyn. Sys. Feb 2014. ()
  • Sander, E. and J.D. Meiss, "Birkhoff Averages and Rotational Invariant Circles for Area-Preserving Maps", ().
  • Duignan, N. and J.D. Meiss "Nonexistence of Invariant Tori Transverse to Foliations: An Application of Converse KAM Theory", . ()
  • Meiss, J.D. and E. Sander "Birkhoff Averages and the Breakdown of Invariant Tori in Volume-Preserving Maps", , ()
  • Duignan, N. and J.D. Meiss "Distinguishing between Regular and Chaotic orbits of Flows by the Weighted Birkhoff Average", ()

Piecewise Smooth Bifurcations

  • D.J.W. Simpson and J.D. Meiss, "Andronov-Hopf Bifurcations in Planar, Piecewise-Smooth, Continuous Flows",().
  • D.J.W. Simpson and J.D. Meiss, "Neimark-Sacker Bifurcations in Planar, Piecewise Smooth, Continuous Maps",
  • D.J.W. Simpson and J.D. Meiss, "Unfolding a Codimension-Two, Discontinuous, Andronov-Hopf Bifurcation",()
  • D.J.W. Simpson, D.S. Kompala, and J.D. Meiss, "Discontinuity Induced Bifurcations in a Model ofSaccharomyces cerevisiae",() (PDF reprint)
  • D.J.W. Simpson and J.D. Meiss, "Shrinking Point Bifurcations of Resonance Tongues for Piecewise-Smooth, Continuous Maps",()
  • D.J.W. Simpson and J.D. Meiss, "Simultaneous Border-Collision and Period-Doubling Bifurcations",()
  • D.J.W. Simpson and J.D. Meiss, "Resonance near Border-Collision Bifurcations in Piecewise-Smooth, Continuous Maps",()
  • D.J.W. Simpson and J.D. Meiss, "Aspects of Bifurcation Theory for Piecewise-Smooth, Continuous Systems",()

Polynomial Maps

  • H.R. Dullin and J.D. Meiss, "Generalized Hénon Maps: the Cubic Polynomial Diffeomorphisms of the Plane",.
  • A. Gómez and J.D.Meiss, "Reversible Polynomial Automorphisms of the Plane: the Involutory Case",. (PDF reprint)
  • A. Gómez and J.D. Meiss, "Reversible Polynomial Automorphisms in the Plane",. () (PDF reprint)
  • Gonchenko, S.V., J.D. Meiss and I.I. Ovsyannikov, "Chaotic Dynamics of Three-Dimensional Hénon Maps That Originate from a Homoclinic Bifurcation",()
  • Bäcker, A. and J.D. Meiss, "Moser's Quadratic, Symplectic Map", . ().
  • Bäcker, A. and J.D. Meiss, "The Quadfurcation", (2018).
  • Bäcker, A. and J.D. Meiss, Elliptic Bubbles in Moser's 4D Quadratic Map: the Quadfurcation", , (). ()
  • Hampton, A.E. and J.D. Meiss, "Anti-Integrability for Three-Dimensional Quadratic Maps", , ()
  • Hampton, A.E. and J.D. Meiss, “The three-dimensional generalized Hénon map: Bifurcations and attractors”, ()
  • Hampton, A.E. and J.D. Meiss “Connecting Anti-integrability to Attractors for Three-Dimensional, Quadratic Diffeomorphisms” ()

Semantics and Textual Dynamics

  • Doxas, I., J. Meiss, S. Bottone, T. Strelich, A. Plummer, A. Breland, S. Dennis, K. Garvin-Doxas, and M. Klymkowsky "Narrative as a Dynamical System", ()
  • Doxas, I., J. Meiss, S. Bottone, T. Strelich, A. Plummer, A. Breland, S. Dennis, K. Garvin-Doxas, and M. Klymkowsky "The Dynamical Principles of Storytelling" ()

Solitons

  • Meiss, J.D. and N. R. Pereira, "Internal Wave Solitons", .
  • Meiss, J.D. and C. W. Horton, "Drift-Wave Turbulence from a Soliton Gas." .
  • Meiss, J.D. and C. W. Horton, "Fluctuation Spectra of a Drift Wave Soliton Gas." .
  • Meiss, J.D. and C. W. Horton (1983). "Solitary Drift Waves in the Presence of Magnetic Shear." .
  • Meiss, J.D. and P. J. Morrison, "Nonlinear Electron Landau Damping of Ion Acoustic Solitons." .
  • Morrison, P. J., J.D. Meiss and J. R. Cary, "Scattering of Regularized-Long-Wave Solitary Waves." .
  • Horton, W., J. Liu, J.D. Meiss and J. E. Sedlak, "Solitary Vortices in a Rotating Plasma." .

Synchronization

  • J.G. Restrepo and J.D. Meiss, "Onset of Synchronization in the Disordered Hamiltonian Mean Field Model",. ().
  • Y.S. Virkar, J.G. Restrepo and J.D. Meiss, "The Hamiltonian Mean Field model: effect of network structure on synchronization dynamics",. ().

Transitory Dynamics

  • Mosovsky, B.A. and J.D. Meiss, "Transport in Transitory Dynamical Systems", () (PDF reprint).
  • Mosovsky, B.A. and J.D. Meiss, "Transport in Transitory, Three-Dimensional, Liouville Flows", () (PDF reprint).
  • Mosovsky, B.A., M.F.M. Speetjens, and J.D. Meiss, "Finite-Time Transport in Volume-Preserving Flows",

Transport

  • J.D. Meiss, "Transport Near the Onset of Chaos", Physics Today, Physics News of 1986, January (1987).
  • J.D. Meiss, Symplectic Maps, Variational Principles, and Transport,(reprint)
  • R.W. Easton, J.D. Meiss and S. Carver, "Exit Times and Transport for Symplectic Twist Maps",.
  • E. Bollt and J.D. Meiss, "Controlling Transport Through Recurrences",.
  • H. E. Lomelí and J.D. Meiss "Heteroclinic Orbits and Transport in a Perturbed, Integrable Standard Map".. ()
  • H. E. Lomelí and J.D. Meiss, "Heteroclinic Primary Intersections and Codimension one Melnikov Method for Volume Preserving Maps",(PDF reprint),
  • B.A. Mosovsky and J.D. Meiss, "Transport in Transitory Dynamical Systems",() (PDF reprint)
  • B.A. Mosovsky and J.D. Meiss, "Transport in Transitory, Three-Dimensional, Liouville Flows",() (PDF reprint)
  • B.A. Mosovsky, M.F.M. Speetjens, and J.D. Meiss, "Finite-Time Transport in Volume-Preserving Flows",
  • O. Alus, S. Fishman, and J.D. Meiss, "Statistics of the Island-Around-Island Hierarchy in Hamiltonian Phase Space",. ()
  • K.R. Pratt, J.D. Meiss, and J.P. Crimaldi, "Reaction Enhancement of Initially Distant Scalars by Lagrangian Coherent Structures",. (Preprint).
  • J.D. Meiss, "Thirty Years of Turnstiles and Transport",()
  • L.M. Lerman and J.D. Meiss, "Mixed Dynamics in a Parabolic Standard Map",. ()
  • Alus, O., S. Fishman, and J.D. Meiss, Universal exponent for transport in mixed Hamiltonian dynamics, ().
  • Guillery, N. and J.D. Meiss, "Diffusion and Drift in Volume-Preserving Maps", ().
  • Meiss, J.D., N. Miguel, C. Simo, A. Vieiro, Accelerator modes and anomalous diffusion in 3D volume-preserving maps", . ()
  • Homan, J.R., and J.D. Meiss, "Noise-enhanced Stickiness in the Harper Map." ()

Twistless Bifurcations

  • H. R. Dullin, J.D. Meiss and D. Sterling, "Generic Twistless Bifurcations",. (
  • H.R. Dullin and J.D. Meiss, "Twist Singularities for Symplectic Maps",(PDF reprint)
  • H.R. Dullin, A.V. Ivanov and J.D. Meiss, "Normal Forms for 4D Symplectic Maps with Twist Singularities",. ()
  • H.R. Dullin and J.D. Meiss, "Resonances and Twist in Volume-Preserving Maps",()

Transitory Dynamics

  • B.A. Mosovsky and J.D. Meiss,"Transport in Transitory Dynamical Systems",() (PDF reprint)
  • B.A. Mosovsky and J.D. Meiss, "Transport in Transitory, Three-Dimensional, Liouville Flows",() (PDF reprint)
  • B.A. Mosovsky, M.F.M. Speetjens, and J.D. Meiss,"Finite-Time Transport in Volume-Preserving Flows",

Transport

  • MacKay,R.S.and J.D. Meiss, "Flux and Differences in Action for Continuous Time Hamiltonian Systems." .
  • Meiss, J.D.. "Transport Near the Onset of Stochasticity." J. Part. Accel. 19: 9-24. (1986)
  • Meiss, J.D., "Class Renormalization: Islands around Islands", .
  • MacKay, R.S. and Meiss, J.D. and Percival, I.C., "Transport in Hamiltonian Systems", .
  • Meiss, J.D. and E. Ott, "Markov Tree Model of Transport in Area-Preserving Maps." .
  • Meiss, J.D., "Transport Near the Onset of Chaos", Physics Today, Physics News of 1986, January (1987).
  • Meiss, J.D., "Symplectic Maps, Variational Principles, and Transport", (reprint).
  • Easton, R.W., J.D. Meiss and S. Carver, "Exit Times and Transport for Symplectic Twist Maps", .
  • Bollt, E. and J.D. Meiss, "Controlling Transport Through Recurrences", .
  • Lomelí, H.E. and J.D. Meiss "Heteroclinic Orbits and Flux in a Perturbed, Integrable Standard Map", . ()
  • Lomelí, H.E. ; and J.D. Meiss, "Heteroclinic Primary Intersections and Codimension one Melnikov Method for Volume-Preserving Maps", (PDF reprint).
  • Mosovsky, B.A. and J.D. Meiss, "Transport in Transitory Dynamical Systems", () (PDF reprint).
  • Mosovsky, B.A. and J.D. Meiss, "Transport in Transitory, Three-Dimensional, Liouville Flows", () (PDF reprint).
  • Mosovsky, B.A., M.F.M. Speetjens, and J.D. Meiss, "Finite-Time Transport in Volume-Preserving Flows",
  • Alus, O., S. Fishman, and J.D. Meiss, "Statistics of the Island-Around-Island Hierarchy in Hamiltonian Phase Space", . ().
  • Pratt, K.R., J.D. Meiss, and J.P. Crimaldi, "Reaction Enhancement of Initially Distant Scalars by Lagrangian Coherent Structures", . ().
  • Meiss, J.D., "Thirty Years of Turnstiles and Transport", ().
  • Lerman, L.M. and J.D. Meiss, "Mixed Dynamics in a Parabolic Standard Map", . ().
  • Alus, O., S. Fishman, and J.D. Meiss, "Probing the statistics of transport in the Henon Map", ().
  • Mitchell, R.A., and J.D. Meiss, "Designing a Finite-Time Mixer: Optimizing Stirring for Two-Dimensional Maps." . ().
  • Alus, O., S. Fishman, and J.D. Meiss, Universal exponent for transport in mixed Hamiltonian dynamics, ().
  • Guillery, N. and J.D. Meiss, "Diffusion and Drift in Volume-Preserving Maps", ().
  • Meiss, J.D., N. Miguel, C. Simo, A. Vieiro, Accelerator modes and anomalous diffusion in 3D volume-preserving maps", . ()
  • Homan, J.R., and J.D. Meiss, "Noise-enhanced Stickiness in the Harper Map." ()

Weighted Birkhoff Averages

  • Sander, E. and J.D. Meiss, "Birkhoff Averages and Rotational Invariant Circles for Area-Preserving Maps", ().
  • Meiss, J.D. and E. Sander, "Birkhoff Averages and the Breakdown of Invariant Tori in Volume-Preserving Maps", , ()
  • Duignan, N. and J.D. Meiss "Distinguishing between Regular and Chaotic orbits of Flows by the Weighted Birkhoff Average", ()
  • Meiss, J.D. and E. Sander, "Resonance and Weak Chaos in Quasiperiodically-Forced Circle Maps", ()
  • Sander, E. and J.D. Meiss, "Proportions of Incommensurate, Resonant, and Chaotic Orbits for Torus Maps", ()
  • Sander, E. and J.D. Meiss, "Computing Lyapunov Exponents using Weighted Birkhoff Averages", ()