Publications & Preprints

Vegetation Patterns

  • “Assessing the robustness of spatial pattern sequences in a dryland vegetation model”, K. Gowda, Y. Chen, S. Iams, and M. Silber, Proceedings of the Royal Society A, 472 (2016). doi:10.1098/rspa.2015.0893
  • “Transitions between patterned states in vegetation models for semiarid ecosystems”, K. Gowda, H. Riecke, and M. Silber, Physical Review E, 89 (2014). (PRE Editors' Suggestion paper) doi:10.1103/PhysRevE.89.022701

Arctic Sea-Ice Loss

  • “Analysis of an Arctic sea ice loss model in the limit of a discontinuous albedo”, K. Hill, D.S. Abbot, and M. Silber, SIAM Journal on Applied Dynamical Systems 15(2) (2016). doi:10.1137/15M1037718
  • “Bifurcations leading to summer Arctic Sea ice loss”, D.S. Abbot, M. Silber and R.T. Pierrehumbert, Journal of Geophysical Research 116 (2011). doi:10.1029/2011JD015653

Time-Delayed Feedback Control

  • “Feedback control of unstable periodic orbits in equivariant Hopf bifurcation problems”, C.M. Postlethwaite, G. Brown, and M. Silber, Philosophical Transactions of the Royal Society A, 371 (2013). doi:10.1098/rsta.2012.0467
  • “Time-delayed feedback control of unstable periodic orbits near a subcritical Hopf bifurcation”, G. Brown, C.M. Postlethwaite and M. Silber, Physica D 240 859-871 (2011). doi:10.1016/j.physd.2010.12.011
  • “Stabilizing unstable periodic orbits in the Lorenz equations using time-delayed feedback control”, C.M. Postlethwaite and M. Silber, Physical Review E 76, 56214 (2007). doi:10.1103/PhysRevE.76.056214
  • “Spatial and temporal feedback control of traveling wave solutions of the two-dimensional complex Ginzburg-Landau equation”, C. Postlethwaite and M. Silber, Physica D 236, 65–74 (2007). doi:10.1016/j.physd.2007.07.011
  • “Feedback Control of Traveling Wave Solutions of the Complex Ginzburg Landau Equation”, K.A. Montgomery and M. Silber, Nonlinearity 17 2225–2248 (2004). doi:10.1088/0951-7715/17/6/011

Faraday Waves

  • “Three-wave interactions and spatio-temporal chaos”, A.M. Rucklidge, M. Silber and A.C. Skeldon, Physical Review Letters, 108 (2012). doi:10.1103/physrevlett.108.074504
  • “Forcing function control of Faraday wave instabilities in viscous shallow fluids”, C. Huepe, Y. Ding, P. Umbanhowar, and M. Silber, Physical Review E 73, 016310 (2006). doi:10.1103/physreve.73.016310
  • “Weakly Nonlinear Analysis of Impulsively–Forced Faraday Waves”, A. Catllá, J. Porter and M. Silber, Physical Review E 72, 056212 (2005). doi:10.1103/physreve.72.056212
  • “Resonant Triad Dynamics in Weakly Damped Faraday Waves with Two-Frequency Forcing”, J. Porter and M. Silber, Physica D 190 93–114 (2004). doi:10.1016/j.physd.2003.09.044
  • “Secondary Instabilities of Hexagons: A Bifurcation Analysis of Experimentally Observed Faraday Wave Patterns”, A.M. Rucklidge, M. Silber and J. Fineberg, in: Bifurcations, Symmetry and Patterns, edited by J. Buescu, S.B.S.D. Castro, A.P.S. Dias and I.S. Labouriau, Birkhauser: Basel 101–114 (2003). doi:10.1007/978-3-0348-7982-8_6
  • “Resonances and Superlattice Pattern Stabilization in Two-Frequency Forced Faraday Waves”, C.M. Topaz and M. Silber, Physica D 172 1–29 (2002). doi:10.1016/s0167-2789(02)00564-x
  • “Multi-frequency Control of Faraday Wave Patterns”, C.M.Topaz, J.Porter andM. Silber, Physical Review E 70, 066206 (2004). doi:10.1103/physreve.70.066206
  • “Broken Symmetries and Pattern Formation in Two–Frequency Forced Faraday Waves”, J. Porter and M. Silber, Physical Review Letters, 89 84501 (2002). doi:10.1103/physrevlett.89.084501
  • “Spatial Period-Multiplying Instabilities of Hexagonal Faraday Waves”, D.P. Tse, A.M. Rucklidge, R.B. Hoyle and M. Silber, Physica D 146 367–387 (2000). doi:10.1016/s0167-2789(00)00124-x
  • “Two–Frequency Forced Faraday Waves: Weakly Damped Modes and Pattern Selection”, M. Silber, C.M. Topaz and A.C. Skeldon, Physica D 143 205–225 (2000). doi:10.1016/s0167-2789(00)00102-0
  • “Parametrically Excited Surface Waves: Two-Frequency Forcing, Normal Form Symmetries, and Pattern Selection”, M. Silber and A.C. Skeldon, Physical Review E 59 5446–5456 (1999). doi:10.1103/physreve.59.5446
  • “Parametrically Excited Surface Waves in Square Geometry”, M.Silber & E.Knobloch, Physics Letters A 137, 349-354 (1989). doi:10.1016/0375-9601(89)90904-3

Biophysical Modeling

  • “Mechanistically Consistent Reduced Models of Synthetic Gene Networks", L. Mier-y-Teran-Romero, M. Silber and V. Hatzimanikatis, Biophysical Journal 104, 2098-2109 (2013). doi:10.1016/j.bpj.2013.03.031
  • “The origins of time-delay in template biopolymerization processes”, L. Mier-y-Teran-Romero, M. Silber and V. Hatzimanikatis, PLoS Computational Biology 6 e1000726 (2010). doi:10.1371/journal.pcbi.1000726
  • “Optimal movement in the prey strikes of weakly electric fish: A case study of the interplay of body plan and movement capability”, C.M. Postlethwaite, T.M. Psemeneki, J. Selimkhanov, M. Silber, and M.A. MacIver, Journal of the Royal Society Interface 6, 417-433 (2009). doi:org/10.1098/rsif.2008.0286
  • “Amplification in the auditory periphery: the effect of coupling tuning mechanisms”, K.A. Montgomery, M. Silber, and S.A. Solla, Physical Review E 75, 51924 (2007). doi:10.1103/physreve.75.051924

Superlattice Patterns, Quasipatterns, +

  • “Design of parametrically forced patterns and quasipatterns”, A.M. Rucklidge and M. Silber, SIAM Journal on Applied Dynamical Systems 8, 298-347 (2009). doi:10.1137/080719066
  • “Quasipatterns in parametrically forced systems”, A.M. Rucklidge and M. Silber, Physical Review E 75, 55203(R) (2007). doi:10.1103/physreve.75.055203
  • “Near-Resonant, Steady Mode Interaction: Periodic, Quasi-Periodic and Localized Patterns”, M. Higuera, H. Riecke and M. Silber, SIAM J. on Applied Dynamical Systems, 3 463–502 (2004). doi:10.1137/030600552
  • “Pattern Control via Multifrequency Parametric Forcing”, J.Porter, C.M.Topaz and M.Silber, Physical Review Letters 93, 34502 (2004). doi:10.1103/physrevlett.93.034502
  • “Simple and Superlattice Turing Patterns in Reaction-Diffusion Systems: Bifurcation, Bistability, and Parameter Collapse”, S.L. Judd and M. Silber, Physica D 136 45–65 (2000). doi:10.1016/s0167-2789(99)00154-2
  • “Nonlinear Competition Between Small and Large Hexagonal Patterns”, M. Silber and M.R.E. Proctor, Physical Review Letters 81 2450–2453 (1998). doi:10.1103/physrevlett.81.2450

Equivariant Dynamic and Bifurcation Theory

  • “A mechanism for switching near a heteroclinic network”, V. Kirk, E. Lane, C.M. Postlethwaite, A.M. Rucklidge, and M. Silber, Dynamical Systems: An International Journal 25, 323-349 (2010). doi:10.1080/14689361003779134
  • “Stability Results for Steady, Spatially–Periodic Planforms”, B. Dionne, M. Silber, and A.C. Skeldon, Nonlinearity 10 321-353 (1997). doi:10.1088/0951-7715/10/2/002
  • “Bifurcations of Periodic Orbits with Spatio-Temporal Symmetries”, A.M. Rucklidge and M. Silber, Nonlinearity 11 1435-1455 (1998). doi:10.1088/0951-7715/11/5/015
  • “Branches of Stable Three–Tori Using Hamiltonian Methods in Hopf Bifurcation on a Rhombic Lattice”, V. Kirk, J.E. Marsden, and M. Silber, Dynamics and Stability of Systems 11 267-302 (1996). doi:10.1080/02681119608806228
  • “Time–Periodic Spatially Periodic Planforms in Euclidean Equivariant Partial Differential Equations”, B. Dionne, M. Golubitsky, M. Silber, and I. Stewart, Philosophical Transactions of the Royal Society of London A 352 125-168 (1995). doi:10.1098/rsta.1995.0061
  • “On the Uniqueness of Invariant Tori in D4×S1 Symmetric Systems”, S.A. van Gils and M. Silber, Nonlinearity 8 615-628 (1995). doi:10.1088/0951-7715/8/4/008
  • “Temporal Forcing of Small Amplitude Waves in Anisotropic Systems”, H. Riecke, M. Silber and L. Kramer, Physical Review E 49 4100-4113 (1994). doi:10.1103/physreve.49.4100
  • “Hopf Bifurcation with Z4× T2 Symmetry”, E. Knobloch and M. Silber, in: Bifurcation and Symmetry, edited by E. Allgower, K. Böhmer and M. Golubitsky, International Series of Numerical Mathematics 104, Birkhãuser, Basel, 241-252 (1992). doi:10.1007/978-3-0348-7536-3_21
  • “A Competition Between Heteroclinic Cycles”, V. Kirk and M. Silber, Nonlinearity 7 1605-1621 (1994). doi:10.1088/0951-7715/7/6/005
  • “Symmetry–Breaking Hopf Bifurcation in Anisotropic Systems”, M. Silber, H. Riecke and L. Kramer, Physica D 61, 260-278 (1992). doi:10.1016/0167-2789(92)90170-r
  • “Hopf Bifurcation on a Square Lattice”, M. Silber and E. Knobloch, Nonlinearity 4, 1063-1107 (1991). doi:10.1088/0951-7715/4/4/003

Pattern Selection in Fluids

  • “New Stability Results for Patterns in a Model of Long–Wavelength Convection”, A.C. Skeldon and M. Silber, Physica D 122 117–133 (1998). doi:10.1016/s0167-2789(98)00171-7
  • “Oscillatory Convection in a Rotating Layer”, E. Knobloch and M. Silber, Physica D 63 213-232 (1993). doi:10.1016/0167-2789(93)90156-u
  • “Planform Selection in Rotating Convection: Hexagonal Symmetry”, H.F. Goldstein, E. Knobloch and M. Silber, Physical Review A 46, 4755-4761 (1992). doi:10.1103/physreva.46.4755
  • “Travelling Wave Convection in a Rotating Layer”, E. Knobloch and M. Silber, Geophysical and Astrophysical Fluid Dynamics 51, 195-209 (1990). doi:10.1080/03091929008219856
  • “Planform Selection in Rotating Convection”, H.F. Goldstein, E. Knobloch and M. Silber, Physics of Fluids A 2, 625-627 (1990). doi:10.1103/physreva.46.4755
  • “Pattern Selection in Rotating Convection”, E. Knobloch and M. Silber, Nonlinear Structures in Physical Systems, Springer NY, 173-180 (1990). doi:10.1007/978-1-4612-3440-1_17
  • “Pattern Selection in Ferrofluids”, M. Silber and E. Knobloch, Physica D 30, 83-98 (1988). doi:10.1016/0167-2789(88)90099-1
  • “Pattern Selection in Steady Binary-Fluid Convection”, M. Silber and E. Knobloch, Physical Review A 38, 1468-1477 (1988). doi:10.1103/physreva.38.1468

Other Miscellany

  • “Stability Results for In–Phase and Splay–Phase States of Solid–State Laser Arrays”, M. Silber, L. Fabiny and K. Wiesenfeld, Journal of the Optical Society of America B 10 1121-1129 (1993). doi:10.1364/josab.10.001121
  • “CO 7-6 Submillimeter Emission from the Galactic Center: Warm Gas and the Rotation Curve in the Central 10 Parsecs”, A.I. Harris, D.T. Jaffe, M. Silber, and R. Genzel, Astrophysical Journal Letters 294, L93-97 (1985). doi:10.1086/184516
  • “Detection of the 370 Micron 3P2-3P1 Fine-Structure Line of [CI]”, D.T. Jaffe, A.I. Harris, M. Silber, R. Genzel, and A.L. Betz, Astrophysical Journal Letters 290, L59-62 (1985). doi:10.1086/184442