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NDNS+ related publications

Here you can find a list of some publications of NDNS members that are relevant to the aims of the cluster, organized by research group. More extended and up-to-date lists of publications are provided by some members of the group at their homepages. Lists of recent publications can be also found in the NDNS+ annual reports.

CWI

  • M. Arrayas, U. Ebert, W. Hundsdorfer, Spontaneous branching of anode-directed streamers between planar electrodes, Phys. Rev. Lett. 88, 2002, 174502.
  • J.G. Blom, M.A. Peletier, A continuum model of lipid bilayers, to appear in Euro J. Appl. Math., 2004.
  • C. Cotter, J. Frank, S. Reich, Hamiltonian particle-mesh method for two-layer shallow-water equations subject to the rigid-lid approximation, SIAM J. Appl. Dyn. Syst. 3 (2004), 69-83.
  • W. Hundsdorfer, J.G. Verwer, Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations, Springer Series in Computational Mathematics 33, 2003.
  • J.G. Verwer, B.P. Sommeijer, An implicit-explicit Runge-Kutta-Chebyshev scheme for diffusion-reaction equations, SIAM J. Scientific Computing 25 (2004), no. 5, 1824-1835.
  • B. Meulenbroek, U. Ebert, L. Schäfer, Regularization of moving boundaries in a Laplacian field by a mixed Dirichlet-Neumann boundary condition: exact results, Phys. Rev. Lett. 95 (2005), 195004.
  • A. Zagaris, H.G. Kaper and T.J. Kaper, Two perspectives on reduction of ordinary differential equations, Math. Nach. 278 (2005) 1629-1642.
  • C.W. Gear, T.J. Kaper, I.G. Kevrekidis and A. Zagaris, Projecting to a slow manifold: Singularly perturbed systems and legacy codes, SIAM Appl. Dyn. Syst. 4 (2005) 711-732.
  • Crommelin D, and Vanden-Eijnden E. ‘Fitting timeseries by continuous-time markov chains: A quadratic programming approach’, J Comp Phys 217, 782—805, 2006.
  • Crommelin D, and Vanden-Eijnden E. ‘Reconstruction of diffusions using spectral data from timeseries’, Comm Math Sci 4, 651—668, 2006.
  • Doelman A, Kaper T, and Peletier L. ‘Homoclinic bifurcations at the onset of pulse self-replication’, J Differential Equations 231, 359 – 423, 2006.
  • Majda A, Franzke C, Fischer A, and Crommelin D. ‘Distinct metastable atmospheric regimes despite nearly gaussian statistics: A paradigm model’ Proc Natl Acad Sci USA 103, 8309—8314, 2006.
  • Rademacher J. ‘Geometric relations of absolute and essential spectra of wave trains’ SIAM J Appl Dyn Sys 5, 634—649, 2006.
  • Rademacher J, and Wittenberg R. ‘Viscous shocks in the destabilized kuramoto-sivashinsky equation’ J Comp Nonl Dyn 1, 336—347, 2006.

Vrije Universiteit

  • D.G. Aronson, J.B. van der Berg, J. Hulshof, Parametric dependence of exponents and eigenvalues in focusing porous media flows, European J. Appl. Math. 14 (2003), no. 4, 485-512.
  • J.B. van den Berg, J. Hulshof, R.C. Vandervorst, Travelling waves for fourth-order parabolic equations, SIAM J. Math. Anal. 32 (2001), no. 6, 1342-1374.
  • J.B. van den Berg, R.C. Vandervorst, Stable patterns for fourth-order parabolic equations, Duke. Math. J. 115 (2002), no. 3, 513-558.
  • F. Beukers, J.A. Sanders, J.P. Wang, On integrabilityof systems of evolution equations, J. Differential Equations 172 (2001), no. 2, 396-408.
  • R.W. Ghrist , J.P. van der Berg, R.C. Vandervorst, Morse theory on spaces of braids and Lagrangian dynamics, Invent. Math. 152 (2003), no. 2, 369-432.
  • M.C.M. de Gunst., J.G. Schouten, Model selection for hidden Markov models of ion channel data by reversible jump Markov chain Monte Carlo. Bernoulli 9 (2003), 373-393.
  • C.T. Mesina, R. Boellaard, G. Jongbloed, A.W. van der Vaart, A.A. Lammertsma, Experimental evaluation of iterative reconstruction versus filtered back projection for 3D [^15^O] water PET activation studies using statistical parametric mapping analysis. Neuroimage 19 (2003), 1170-1179.
  • S. Ghosal, J.K. Ghosh, A.W. van der Vaart, Convergence rates of posterior distributions. Annals of Statistics 28 (2000), 500-531.
  • M.C.M. de Gunst, A. Dewanji, E.G. Luebeck, Exploring Heterogeneity in Tumor Data using Markov Chain Monte Carlo. Statistics in Medicine 22 (2003), 1691-1707.
  • K. Jong, E. Marchiori, A.W. van der Vaart, G. Meijer, B. Ylstra, Breakpoint Identification and Smoothing of Array Comparative Genomic Hybridization Data. Bioinformatics 20 (2004), 3636-3637.
  • F. Bijma, Mathematical modelling of magnetoencephalographic data, PhD thesis VU Amsterdam 2005
  • M.A. Jonker and A.W. van der Vaart, Estimation of average mortality under censoring and truncation, Journal of Population Research 22(1) (2005) 49-62.
  • M.A. Jonker, N.J.D. Nagelkerke and J.C. van Houwelingen (statisticians) and C.E. Jacobi, W.E. Hoogendoorn and G.H. de Bock (physicians), Mammography for women under age 50 with a familial predisposition for breast cancer. Report Leiden University Medical Center, Januari 2005
  • G.H. de Bock, C.E. Jacobi, M.A. Jonker, N.J.D. Nagelkerke and J.C. van Houwelingen, A breast cancer prediction model, Statistics in Medicine 24(10) (2005) 1610-1612.
  • F. van Poppel, M.A. Jonker and K. Mandemakers, Differential infant and child mortality in three Dutch generations, the Economic History Review 58(2) (2005) 1812-1912.
  • F. Bijma, J.C. de Munck and R.M. Heethaar, The spatiotemporal MEG covariance matrix modeled as a sum of Kronecker products, NeuroImage 27(2) (2005) 402-415.
  • F. Bijma, J.C. de Munck, J.C. Huizenga R.M. Heethaar and A. Nehorai, A simultaneous estimation and testing of sources in multiple MEG data sets, IEEE Trans. Sign. Proc. Spec. Issue Brain Imag. 53(9) (2005) 3449-3460.
  • Van der Heijden GHM, Peletier MA, and Planqué R. ‘Self-contact for rods on cylinders’ Arch Ration Mech Anal 182(3), 471—511, 2006.

Rijksuniversiteit Groningen

  • G. Birkhoff, M. Martens and C.P. Tresser, On the scaling structure for period doubling, Asterisque 286 (2003), 167-186.
  • H.W. Broer, M. Golubitsky, G. Vegter, The geometry of resonance tongues: A Singularity Theory approach. Nonlinearity, 16 (2003), 1511-1538.
  • H.W. Broer, C. Simo, J. Puig, Resonance tongues and instability pockets in the quasi-periodic Hill-Schroedinger equation, Commun. Math. Phys., 241 (2003), 467-503.
  • A.C.D. van Enter, R. Fernandez, W.Th.F. den Hollander, F. Redig, Possible loss and recovery of Gibbsianness during the stochastic evolution of Gibbs measures, Comm. Math. Phys. 226 (2002), 101-130.
  • C.W. Rowley, I.G. Kevrekidis, J.E. Marsden, K. Lust, Reduction and reconstruction for self-similar dynamical systems, Nonlinearity 16 (2003) no. 4, 1257-1275.
  • S. Stramigioli, C. Secchi, A.J. van der Schaft and C. Fantuzzi, Sampled data systems passivity and discrete port-Hamiltonian systems, IEEE Transactions on Robotics, 4 (2005) 574-587.
  • J. Cortes, A.J. van der Schaft and P.E. Crouch, Characterization of gradient control systems, SIAM J. Control Optim. 44(4) (2005) 1192-1214.
  • S.N. Strubbe and A.J. van der Schaft, Bisimulation for communicating piecewise deterministic Markov processes, in Hybrid Systems: Computation and Control, Eds. M. Morari, L. Thiele, Lecture Notes in Computer Science 3414 pp. 623-639, Springer, 2005.
  • B.M. Maschke and A.J. van der Schaft, Compositional Modelling of Distributed-Parameter Systems, pp. 115-154 in Advanced Topics in Control Systems Theory (Lecture Notes from FAP 2004, Springer Lect. Notes in Control and Information Sciences 311 Springer, London, 2005.
  • A.A. Julius and A.J. van der Schaft, Bisimulation as congruence in the behavioral setting, pp. 814-819 in Proc. 44th IEEE Conf. on Decision and Control, and the European Control Conference 2005, Seville, Spain, Dec. 12-15, 2005.
  • G. Pola, A.J. van der Schaft and M.D. Di Benedetto, Achievable bisimilar behavior of abstract state systems, pp. 1535 – 1540 in Proc. 44th IEEE Conf. on Decision and Control, and the European Control Conference 2005, Seville, Spain, Dec. 12-15, 2005.
  • J.A. Villegas, H. Zwart, Y. Le Gorrec and A.J. van der Schaft, Stability and stabilization of a class of boundary control systems, pp. 3850-3855 in Proc. 44th IEEE Conf. on Decision and Control, and the European Control Conference 2005, Seville, Spain, Dec. 12-15, 2005.
  • V. Talasila, J. Clemente-Gallardo and A.J. van der Schaft, Discrete port-Hamiltonian systems: mixed interconnections pp. 5656-5661 in Proc. 44th IEEE Conf. on Decision and Control, and the European Control Conference 2005, Seville, Spain, Dec. 12-15, 2005.
  • D. Eberard, B. Maschke and A.J. van der Schaft, Port contact systems for irreversible thermodynamical systems, pp. 5977-5982 in Proc. 44th IEEE Conf. on Decision and Control, and the European Control Conference 2005, Seville, Spain, Dec. 12-15, 2005.
  • S.N. Strubbe and A.J. van der Schaft, Stochastic semantics for communicating piecewise deterministic Markov processes, pp. 6103-6108 in Proc. 44th IEEE Conf. on Decision and Control, and the European Control Conference 2005, Seville, Spain, Dec. 12-15, 2005.
  • S.N. Strubbe and A.J. van der Schaft, Algorithmic bisimulation for communicating piecewise deterministic Markov processes, pp. 6109-6115 in Proc. 44th IEEE Conf. on Decision and Control, and the European Control Conference 2005, Seville, Spain, Dec. 12-15, 2005.
  • R. Pasumarthy and A. J. van der Schaft, Stability and stabilization of mixed lumped and distributed parameter systems, Int. Symp. on Nonlinear Theory and its Applications (NOLTA2005), Bruges, Belgium, October 18-21, 2005.
  • D. Eberard, B. Maschke and A. J. van der Schaft, Systems theory of interconnected port contact systems, Int. Symp. on Nonlinear Theory and its Applications (NOLTA2005), Bruges, Belgium, October 18-21, 2005.
  • Pola G, Van der Schaft AJ, and Di Benedetto MD. Equivalence of switching linear systems by bisimulation, Int J of Control 79: 74—92, 2006.
  • Strubbe SN, and Van der Schaft AJ. Compositional modelling of stochastic hybrid systems, pp. 47-77 in Stochastic Hybrid Systems, eds. C.G. Cassandras, J. Lygeros, CRC Taylor & Francis, Control Engineering Series, 2006.
  • Van der Schaft AJ. Port-Hamiltonian systems: an introductory survey, pp. 1339-1365 in Proceedings of the International Congress of Mathematicians, Volume III, Invited Lectures, eds. Marta Sanz-Sole, Javier Soria, Juan Luis Verona, Joan Verdura, Madrid, Spain, 2006.
  • Strubbe SN, and Van der Schaft AJ. Communicating Piecewise Deterministic Markov Processes, pp. 63-106 in Stochastic Hybrid Systems: Theory and Safety Critical Applications, eds. Henk Blom, John Lygeros, LNCIS 337, Springer, 2006.
  • Blankenstein G, Ortega R, and Van der Schaft AJ. Matching in the Method of Controlled Lagrangians and IDA-Passivity Based Control, pp. 79-114 in Nonlinear and Adaptive Control: Tools and Algorithms for the User (ed. A. Astolfi), World Scientific, 2006.
  • Sakamoto N, and Van der Schaft AJ. An approximating method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory, pp. 5857-5862 in Proc. 45th IEEE Conf. on Decision and Control, San Diego, CA, USA, December 13-15, 2006.
  • Pasumarthy R, and Van der Schaft AJ. A finite-dimensional approximation of the shallow-water equation: a port-Hamiltonian approach, pp. 3984-3989 in Proc. 45th IEEE Conf. on Decision and Control, San Diego, CA, USA, December 13-15, 2006.
  • Kurula M, Van der Schaft AJ, and Zwart H. Composition of infinite-dimensional linear Dirac-type structures, Proc. 17th Int. Symp. Mathematical Theory of Networks and Systems, Kyoto, Japan, July 24-28, 2006, pp. 27-32.
  • Eberard DE, Maschke BM, and Van der Schaft AJ. Energy-conserving formulation of RLC-circuits with linear resistors, Proc. 17th Int. Symp. Mathematical Theory of Networks and Systems, Kyoto, Japan, July 24-28, 2006, pp. 71-76.
  • Ligterink NE, Breedveld PC, and Van der Schaft AJ, Physical model reduction of interacting, continuous systems, Proc. 17th Int. Symp. Mathematical Theory of Networks and Systems, Kyoto, Japan, July 24-28, 2006, pp. 827-834.
  • Pasumarthy R, and Van der Schaft AJ. A port-Hamiltonian approach to modeling and interconnections of canal systems, Proc. 17th Int. Symp. Mathematical Theory of Networks and Systems, Kyoto, Japan, July 24-28, 2006, pp. 1436-1443.
  • Macchelli A, Pasumarthy R, and Van der Schaft AJ. Control of port-Hamiltonian systems by interconnection and energy shaping via generation of Casimir functions: an overview, in Proceedings 5th MathMod Conference, eds.: I. Troch, F. Breitenecker; ARGESIM Report no. 30, Vienna, February 2006.

Universiteit Leiden

  • D. Estep, S.M. Verduyn Lunel and R. Williams, Analysis of shear layers in a fluid with temperature dependent viscosity, Journal of Computational Physics 173 (2001), 17-60.
  • T.L. van Noorden, S.M. Verduyn Lunel, A. Bliek, Optimization of cyclically operated reactors and separators, Chemical Engineering Science 58(13) (2003), 4115-4127.
  • T.L. van Noorden, S.M. Verduyn Lunel, A. Bliek, A Broyden rank p+1 update continuation method with subspace iteration, SIAM J. Scientific Computing 25 (2004), no. 6, 1921-1940.
  • L.A. Peletier, V. Rottschafer (2002) Large time behaviour of solutions of the Swift-Hohenberg equation, Comptes Rendu Math., 336 (2002), 225-230.
  • V. Rottschafer, T. Kaper, Geometric theory for multi-bump, self-similar, blow-up solutions of the cubic nonlinear Schrodinger equation, Nonlinearity 16 (2003), 929-961.
  • Van der Kooij AJ, Meulman JJ, and Heiser WJ. ‘Local minima in categorical multiple regression’ Computational Statistics and Data Analysis 5, 446-462, 2006.
  • Hubert LJ, Arabie P, and Meulman JJ. ‘The Structural Representation of Proximity Matrices with MATLAB’ Philadelphia: ASA-SIAM, 2006.

Technische Universiteit Eindhoven

  • M.J.H. Anthonissen, R.M.M. Mattheij, J.H.M. ten Thije Boonkamp, Convergence analysis of the local defect correction method for diffusion equations, Num. Math. 95(3) (2003), 401-425.
  • C.J. van Duijn, I.S. Pop, Crystal dissolution and precipitation in porous media: pore scale analysis, J. Reine Angew. Math. 577 (2004), 171-211.
  • C.J. van Duijn, A. Mikelic, I.S. Pop, Effective equations for two-phase flow with trapping on the micro scale, SIAM J. Appl. Math. 62 (2002), 1531-1568.
  • C. Francke, P.W. Postma, H.V. Westerhoff, J.G. Blom, M.A. Peletier, Why the Phosphotransferase System of Escherichia Coli Escapes the Diffusion Limitation of Signal Transduction, Transport and Metabolism that Confronts Mammalian Cells, Biophys. J. 85 (2003), 612-622.
  • M.A. Peletier, H.V. Westerhoff, B.N. Kholodenko, Control of spatially heterogeneous and time-varying cellular reaction networks: a new summation law, J. Theor. Biol. 225 (2003), 477-487.

Universiteit Twente

  • J.B. van der Berg, S.A. van Gils, T.P.P. Visser, Parameter dependence of homoclinic solutions in a single long Josephson junction, Nonlinearity 16 (2003), 707-717.
  • N.V. Davydova, O. Diekmann, S.A. van Gils, Year class competition or competitive exclusion for strict biennials? J. Math. Biology, 46 (2003), 95-131.
  • G. Derks, A. Doelman, S.A. van Gils, T.P.P. Visser, Travelling waves in a singularly perturbed sine-Gordon equation, Physica D 180 (2003), 40-70.
  • O. Diekmann, S.A. van Gils, Invariance and symmetry in a year-class model, Proceedings of the Conference on "Bifurcations, Symmetry and Patterns" 2000, Birkhauser, 2003.
  • H. Susantom S.A. van Gils, T.P.P. Visser, Ariando, H.J.H. Smilde, H. Hilgenkamp, Static semifluxons in a long Josephson junction with pi-discontinuity points, Phys. rev. B 68 (2003), 104501.

Universiteit Amsterdam

  • A. Doelman, R.A. Gardner, T.J. Kaper, A stability index analysis of 1-D patterns of the Gray-Scott model, Mem. Amer. Math. Soc. 155 (2002), no. 737.
  • A. Doelman, D. Iron, Y. Nishiura, Destabilization of fronts in a class of bi-stable systems, SIAM Math. An. 35(6) (2004), 1420-1450.
  • A. Doelman, F.A. Koenderink, L.R.M. Maas, Quasi-periodically forced nonlinear Helmholtz oscillators, Physica D 164(1-2) (2002), 1-27.
  • G.M. Hek, Fronts and pulses in a class of reaction-diffusion equations: a geometric singular perturbation approach, Nonlinearity 14 (2001), 35-72.
  • A.J. Homburg, H. Kokubu, V. Naudot, Homoclinic-doubling cascades, Arch. Ration. Mech. Anal. 160(3) (2001), 195-243.

Universiteit Utrecht

  • R.H. Cushman, J.J. Duistermaat, Non-Hamiltonian monodromy, J. Differential Equations 172 (2001) 42-58.
  • O. Diekmann, M. Gyllenberg, J.A.J. Metz. Steady state analysis of structured population models, Theor. Pop. Biology 63 (2003), 309-338.
  • O. Diekmann, J.A.P. Heesterbeek, 'Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation', Wiley Series in Mathematical and Computational Biology, 2000.
  • Yu.A. Kuznetsov, O. De Feo, S. Rinaldi, Belyakov homoclinic bifurcations in a tritrophic food chain model, SIAM J. Appl. Math. 62 (2001), 462-487.
  • B. Rink, Symmetry and resonance in periodic FPU chains, Comm. Math. Phys. 218 (2001) 665-685.