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Books

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

Pedagogical Articles

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

Fields of Research

Computational Topology

• V. Robins, J.D. Meiss, and E. Bradley, "Computing Connectedness: an exercise in computational topology",听. ().
• V. Robins, J.D. Meiss, and L. Bradley, "Computing Connectedness: Disconnectedness and Discreteness",听. (PDF reprint),
• Z. Alexander, J.D. Meiss, E. Bradley, and J. Garland, "Iterated Function System Models in Data Analysis: Detection and Separation",听. ().
• Z. Alexander, E. Bradley, J.D. Meiss, and N. Sanderson, "Simplicial Multivalued Maps and the Witness Complex for Dynamical Analysis of Time Series",听. ().
• J. Garland, E. Bradley and J.D. Meiss, "Exploring the Topology of Dynamical Reconstructions", ().

Fluid Dynamics

• P. Mullowney, K. Julian and J.D. Meiss, "Blinking rolls: chaotic advection in a 3D flow with an Invariant",听. (PDF reprint)
• P. Mullowney, K. Julien, and J.D. Meiss, "Chaotic Advection in the K眉ppers-Lortz State",听. ()
• B.A. Mosovsky, M.F.M. Speetjens, and J.D. Meiss, "Finite-Time Transport in Volume-Preserving Flows",听
• R.M. Neupauer, J.D. Meiss, and D.C. Mays "Chaotic advection and reaction during engineered injection and extraction in heterogeneous porous media",听.
• K.R. Pratt, J.D. Meiss, and J.P. Crimaldi, "Reaction Enhancement of Initially Distant Scalars by Lagrangian Coherent Structures",听. (Preprint).

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",听.
• J.D. Meiss, "Comment on Microwave Ionization of H-atoms: breakdown of classical dynamics for high frequencies",听.
• E. Bollt and J.D. Meiss, "Targeting Chaotic Orbits to the Moon",听. (PDF reprint)
• J.E. Howard and J.D. Meiss "Straight Line Orbits in Hamiltonian Flows",听. ().
• J.G. Restrepo and J.D. Meiss, "Onset of Synchronization in the Disordered Hamiltonian Mean Field Model",听. ().
• Y.S. Virkar, J.G. Restrepo and J.D. Meiss, "The Hamiltonian Mean Field model: effect of network structure on synchronization dynamics",听. ().

Plasma Physics

• A. Aydemir, R.D. Hazeltine, J.D. Meiss, and M. Kotschenreuther, "Destabilization of Alfv茅n-Resonant Modes by Resistivity and Diamagnetic Drifts",听.
• J.D. Meiss, "Transport Near the Onset of Chaos", Physics Today, Physics News of 1986, January (1987).
• A. Y. Aydemir, 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 Research 1988, Lausanne, Switzerland (International Atomic Energy Agency, Vienna, 1989), 131-143.
• J.D. Meiss, "Comment on Microwave Ionization of H-atoms: breakdown of classical dynamics for high frequencies",听.
• J.D. Meiss and R.D. Hazeltine, "Canonical Coordinates for Guiding Center Particles",听.
• Hayashi, T., T. Sato, H.J. Gardner and J.D. Meiss, "Evolution of Magnetic Islands in a Heliac",听.
• J.L. Tennyson J.D. Meiss and P.J. Morrison, "Self-Consistent Chaos in the Beam-Plasma Instability",听. (PDF reprint).

听

Classes of Dynamical Systems

Area-Preserving Maps

• R. S. MacKay, J.D. Meiss, and I. C. Percival, "Resonances in Area Preserving Maps",听.
• Q. Chen and J.D. Meiss, "Flux, Resonances and the Devil's Staircase for the Sawtooth Map",听.
• 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",听听(PDF reprint).
• J.D. Meiss, "Cantori for the Stadium Billiard",听.
• J.D. Meiss, "Regular Orbits for the Stadium Billiard", In听Quantum Chaos-Quantum Measurement听P. Cvitanovic, I. C. Percival and A. Wirzba. (Dordrecht, Kluwer Academic) 145-166 (1992).
• J.D. Meiss, "Transient Measures听for the Standard Map",听. (PDF reprint).
• H. E. Lomel铆 and J.D. Meiss "Heteroclinic Orbits and Transport in a Perturbed, Integrable Standard Map".听. ()
• H.R. Dullin, D. Sterling and J.D. Meiss "Self-Rotation Number using the Turning Angle",听.
• J.D. Meiss, "Visual Explorations of Dynamics: the Standard Mapping",听听(). (Corrected reprint).
• M. Gidea, J.D. Meiss, I. Ugarcovici, H. Weiss, "Applications of KAM Theory to Population Dynamics",听.
• A.M. Fox and J. D. Meiss, "Critical Invariant Circles in Asymmetric and Multiharmonic Generalized Standard Maps",听. ()
• O. Alus, S. Fishman, and J.D. Meiss, "Statistics of the Island-Around-Island Hierarchy in Hamiltonian Phase Space",听. ()
• J.D. Meiss, "Thirty Years of Turnstiles and Transport",听听()
• L.M. Lerman and J.D. Meiss, "Mixed Dynamics in a Parabolic Standard Map",听. ()
• O. Alus, S. Fishman, and J.D. Meiss, "Probing the statistics of transport in the H茅non Map", ()

Symplectic Maps

• H.T. Kook and J.D. Meiss, "Periodic Orbits for Reversible, Symplectic Mappings",听.
• H.T. Kook and J.D. Meiss, "Application of Newton's Method to Lagrangian Dynamical Systems",听.
• R.S. MacKay, J.D. Meiss, and J. Stark, "Converse KAM Theory for Symplectic Twist Maps",听.
• H.T. Kook and J.D. Meiss, "Diffusion in Symplectic Maps",听.
• J.D. Meiss,听Symplectic Maps听, "Variational Principles, and Transport",听
• E.Bollt and J.D. Meiss, "Breakup of Invariant Tori for the Four Dimensional Semi-Standard Map",听. (PDF reprint).
• R.W. Easton, J.D. Meiss and S. Carver, "Exit Times听and Transport for Symplectic Twist Maps",听.
• E. Bollt and J.D. Meiss, "Controlling Transport Through Recurrences",听.
• MacKay, R. S., J.D. Meiss and J. Stark, "An Approximate Renormalization for the Break-up of Invariant Tori with Three Frequencies",听. (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",听. (PDF reprint)

Volume Preserving Maps

• J.D. Meiss, "Average Exit Times听in Volume Preserving Maps",听. (PDF reprint)
• H.E. Lomel铆 and J.D. Meiss, "Quadratic Volume Preserving Maps",听. () (PDF preprint).
• K. E. Lenz, H. E. Lomel铆; and J.D. Meiss, "Quadratic Volume Preserving Maps: an Extension of a Result of Moser",听. (PDF preprint).
• H. E. Lomel铆 and J.D. Meiss, "Heteroclinic Primary Intersections and Codimension one Melnikov Method for Volume Preserving Maps",听(PDF reprint),
• A. G贸mez and J.D.Meiss, "Volume-Preserving Maps with an Invariant",听. (PDF reprint)
• H.E. Lomel铆 and J.D. Meiss, "Heteroclinic intersections between Invariant Circles of Volume-Preserving Maps",听听() (PDF preprint)
• P. Mullowney, K. Julian and J.D. Meiss, "Blinking rolls: chaotic advection in a 3D flow with an Invariant",听. (PDF reprint)
• D.B. Wysham and J.D. Meiss, "Numerical Computation of the Stable Manifolds of Tori",听. ()
• Gonchenko, S.V., J.D. Meiss and I.I. Ovsyannikov, "Chaotic Dynamics of Three-Dimensional H茅non Maps That Originate from a Homoclinic Bifurcation",听听()
• J.D. Meiss "Dynamics of Volume Preserving Maps",听
• H.R. Dullin and J.D. Meiss, "Nilpotent Normal form for Divergence Free Vector Fields and Volume-Preserving Maps",听听().
• H.E. Lomel铆, J.D. Meiss, and R. Ram铆rez-Ros, "Canonical Melnikov Theory for Diffeomorphisms",听听().
• P. Mullowney, K. Julien, and J.D. Meiss, "Chaotic Advection in the K眉ppers-Lortz State",听. ()
• H.E. Lomel铆 and J.D. Meiss, "Generating Forms for Exact Volume-Preserving Maps",听听()
• H.R. Dullin and J.D. Meiss, "Quadratic Volume-Preserving Maps: Invariant Circles and Bifurcations",听()
• H.E. Lomel铆 and J.D. Meiss, "Resonance Zones and Lobe Volumes for Volume-Preserving Maps",听听()
• H.R. Dullin and J.D. Meiss, "Resonances and Twist in Volume-Preserving Maps",听听()
• J.D. Meiss, "The Destruction of Tori in Volume-Preserving Maps",听听()
• Dullin, H. R., H. Lomel铆 and J. D. Meiss, "Symmetry Reduction by Lifting for Maps",听听()
• A.M. Fox and J. D. Meiss, "Greene's Residue Criterion for the Breakup of Invariant Tori of Volume-Preserving Maps",听. ()
• A.M. Fox and J. D. Meiss, "Efficient Computation of Invariant Tori in Volume-Preserving Maps", Physica D, in press 1-5-16, ()

Phemomena and Methods

Anti-Integrability

• Q. Chen, R.S. MacKay, and J.D. Meiss, "Cantori for Symplectic Maps",听.
• R.S. MacKay and J.D. Meiss, "Cantori for Symplectic Maps near the Anti-integrable Limit",听.
• D. Sterling and J.D. Meiss, "Computing Periodic Orbits using the Anti-Integrable Limit",听. ()
• D. Sterling, H. R. Dullin and J.D. Meiss, "Homoclinic Bifurcations for the H茅non Map",听. ().
• R. W. Easton, J.D. Meiss, G. Roberts, "Drift by Coupling to an Anti-Integrable Limit",听. (PDF reprint)
• H.R. Dullin, J.D. Meiss, and D. Sterling, "Symbolic Codes for Rotational Orbits",听. () (PDF reprint)
• J.D. Meiss "Integrability, Anti-Integrability and Volume-Preserving Maps",听

Invariant Tori

• E.Bollt and J.D. Meiss, "Breakup of Invariant Tori for the Four Dimensional Semi-Standard Map",听. (PDF reprint).
• MacKay, R. S., J.D. Meiss and J. Stark, "An Approximate Renormalization for the Break-up of Invariant Tori with Three Frequencies",听. (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",听. ()
• H.R. Dullin and J.D. Meiss, "Quadratic Volume-Preserving Maps: Invariant Circles and Bifurcations",听()
• J.D. Meiss, "The Destruction of Tori in Volume-Preserving Maps",听听()
• A.M. Fox and J. D. Meiss, "Greene's Residue Criterion for the Breakup of Invariant Tori of Volume-Preserving Maps",听. ()
• A.M. Fox and J. D. Meiss, "Critical Invariant Circles in Asymmetric and Multiharmonic Generalized Standard Maps",听听()
• A.M. Fox and J. D. Meiss, "Efficient Computation of Invariant Tori in Volume-Preserving Maps", submitted to SIAM J. Dyn. Sys. Feb 2014. ()

Piecewise Smooth Bifurcations

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

Polynomial Maps

• H.R. Dullin and J.D. Meiss, "Generalized H茅non Maps: the Cubic Polynomial Diffeomorphisms of the Plane",听听.
• A. G贸mez and J.D.Meiss, "Reversible Polynomial Automorphisms of the Plane: the Involutory Case",听. (PDF reprint)
• A. G贸mez and J.D. Meiss, "Reversible Polynomial Automorphisms in the Plane",听. () (PDF reprint)
• Gonchenko, S.V., J.D. Meiss and I.I. Ovsyannikov, "Chaotic Dynamics of Three-Dimensional H茅non Maps That Originate from a Homoclinic Bifurcation",听听()

Synchronization

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

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,听听(reprint)
• R.W. Easton, J.D. Meiss and S. Carver, "Exit Times and Transport for Symplectic Twist Maps",听.
• E. Bollt and J.D. Meiss, "Controlling Transport Through Recurrences",听.
• H. E. Lomel铆 and J.D. Meiss "Heteroclinic Orbits and Transport in a Perturbed, Integrable Standard Map".听. ()
• H. E. Lomel铆 and J.D. Meiss, "Heteroclinic Primary Intersections and Codimension one Melnikov Method for Volume Preserving Maps",听(PDF reprint),
• B.A. Mosovsky and J.D. Meiss, "Transport in Transitory Dynamical Systems",听听() (PDF reprint)
• B.A. Mosovsky and J.D. Meiss, "Transport in Transitory, Three-Dimensional, Liouville Flows",听听() (PDF reprint)
• B.A. Mosovsky, M.F.M. Speetjens, and J.D. Meiss, "Finite-Time Transport in Volume-Preserving Flows",听
• O. Alus, S. Fishman, and J.D. Meiss, "Statistics of the Island-Around-Island Hierarchy in Hamiltonian Phase Space",听. ()
• K.R. Pratt, J.D. Meiss, and J.P. Crimaldi, "Reaction Enhancement of Initially Distant Scalars by Lagrangian Coherent Structures",听. (Preprint).
• J.D. Meiss, "Thirty Years of Turnstiles and Transport",听听()
• L.M. Lerman and J.D. Meiss, "Mixed Dynamics in a Parabolic Standard Map",听. ()
• O. Alus, S. Fishman, and J.D. Meiss, "Probing the statistics of transport in the H茅non Map", ()

Twistless Bifurcations

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

Transitory Dynamics

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