Stephan A. van Gils

Research output

Research output per year 1986 2003 2004 2005 2013 2015 2017 2024

• 67 Article
• 19 Conference contribution
• 8 Poster
• 5 Report
• 15 More
  • 5 Chapter
  • 4 Paper
  • 3 Book
  • 2 Preprint
  • 1 Inaugural speech

Research output per year

Research output per year

Search results

• 2009

  Frequency-selectivity of a thalamocortical relay neuron during Parkinson's disease and deep brain stimulation: a computational study

  Cagnan, H., Cagnan, H., Meijer, H. G. E., van Gils, S. A., Krupa, M., Heida, T., Rudolph, M., Wadman, W. J. & Martens, H. C. F., 2009, In: European journal of neuroscience. 30, 7, p. 1306-1317 12 p., 10.1111/j.1460-9568.2009.06922.x.

  Research output: Contribution to journal › Article › Academic › peer-review

  File
  23 Citations (Scopus)

  195 Downloads (Pure)

• On the cyclic replicator equation and the dynamics of semelparous populations

  Diekmann, O. & van Gils, S. A., 26 Aug 2009, In: SIAM journal on applied dynamical systems. 8, 3, p. 1160-1189 30 p., 10.1137/080722734.

  Research output: Contribution to journal › Article › Academic › peer-review
  12 Downloads (Pure)

• The pedunculopontine nucleus as alternative target for deep brain stimulation

  Lourens, M. A. J., Meijer, H. G. E., Heida, T. & van Gils, S. A., 24 Nov 2009, Proceedings of the 4th Annual symposium of the IEEE-EMBS Benelux Chapter. Enschede: Twente University Press (TUP), p. 27 1 p. (Annual Symposium of the IEEE/EMBS Benelux Chapter; vol. 4th Annual Symposium of the IEEE/EMBS Benelux Chapter).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

  File
  39 Downloads (Pure)

• Towards a computational model for stimulation of the Pedunculopontine nucleus

  Lourens, M. A. J., Meijer, H. G. E., Heida, T. & van Gils, S. A., 13 Jul 2009, Proceedings of the 18th annual computational neuroscience meeting (CNS) 2009. London, United Kingdom: BioMed Central, p. 282-282 2 p. (BMC Neuroscience; vol. 10, no. Suppl 1).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  File
  118 Downloads (Pure)
• 2008

  A two-age-classes dengue transmission model

  Supriatna, A. K., Soewono, E. & van Gils, S. A., 2008, In: Mathematical biosciences. 216, 412/1, p. 114-121 8 p., 10.1016/j.mbs.2008.08.011.

  Research output: Contribution to journal › Article › Academic › peer-review
  59 Citations (Scopus)

  10 Downloads (Pure)
• 2007

  Stability analysis of π-kinks in a 0-π Josephson junction

  Derks, G., Doelman, A., van Gils, S. A. & Susanto, H., 2007, In: SIAM journal on applied dynamical systems. 6, 1, p. 99-141 43 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File

  • Stability 100%
  • Josephson Junction 100%
  • Model 100%
  • Discontinuity Point 100%
  • Coupling Limit 100%
  14 Citations (Scopus)

  39 Downloads (Pure)

• Static and dynamic properties of fluxons in a zig-zag 0-π Josephson junction

  Susanto, H., Darminto, D., Darminto, [. & van Gils, S. A., 2007, In: Physics letters A. 361, 7/3, p. 270-276 7 p., 10.1016/j.physleta.2006.09.044.

  Research output: Contribution to journal › Article › Academic › peer-review
  8 Citations (Scopus)

  5 Downloads (Pure)
• 2005

  Asymptotic expansions using blow-up

  van Gils, S. A., Krupa, M. & Szmolyan, P., 12 May 2005, In: Zeitschrift für angewandte Mathematik und Physik. 56, 3, p. 369-397 29 p., 10.1007/s00033-004-1021-y.

  Research output: Contribution to journal › Article › Academic › peer-review
  26 Citations (Scopus)

  2 Downloads (Pure)

• Controllable plasma energy bands in a 1D crystal of fractional Josephson vortices

  Susanto, H., Goldobin, E., Koelle, D., Kleiner, R. & van Gils, S. A., 2005, In: Physical review B: Condensed matter and materials physics. 74, p. 174510-174513

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File

  • Crystals 100%
  • Energy Bands 100%
  • Eddy 100%
  • Plasmon 16%
  • Plasma Wave 16%
  30 Citations (Scopus)

  156 Downloads (Pure)

• Existence and stability analysis of solitary waves in a tricrystal junction

  Susanto, H. & van Gils, S. A., 2005, In: Physics letters A. 338, 3-5, p. 239-246 8 p., 10.1016/j.physleta.2005.02.058.

  Research output: Contribution to journal › Article › Academic › peer-review
  10 Citations (Scopus)

  5 Downloads (Pure)

• On a boom and bust year class cycle

  Diekmann, O., Davydova, N. & van Gils, S. A., 4 Apr 2005, In: Journal of difference equations and applications. 4, 5, p. 327-335 9 p.

  Research output: Contribution to journal › Article › Academic › peer-review
  20 Citations (Scopus)

  6 Downloads (Pure)

• On circulant populations. I. The algebra of semelparity

  Davydova, N. V., Diekmann, O. & van Gils, S. A., 15 Mar 2005, In: Linear algebra and its applications. 398, p. 185-243 59 p.

  Research output: Contribution to journal › Article › Academic › peer-review
  30 Citations (Scopus)

  3 Downloads (Pure)

• Oscillatory eigenmodes and stability of one and two arbitrary fractional vortices in long Josephson 0-κ junctions

  Goldobin, E., Susanto, H., Koelle, D., Kleiner, R. & van Gils, S. A., 2005, In: Physical review B: Condensed matter and materials physics. 71, 10, p. 104518 8 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  File
  20 Citations (Scopus)

  163 Downloads (Pure)

• Samen staan we sterk

  van Gils, S. A., 10 Mar 2005, Enschede: University of Twente. 25 p.

  Research output: Book/Report › Inaugural speech › Other research output

  Open Access

  File
  97 Downloads (Pure)
• 2004

  Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3φ₀/2-flux case

  Susanto, H., van Gils, S. A., Doelman, A. & Derks, G., 2004, In: Physical Review B (Condensed Matter and Materials Physics). 69, 21, 4 p., 212503.

  Research output: Contribution to journal › Article › Academic › peer-review

  • Stability 100%
  • Boundaries 100%
  • Eddy 100%
  • Statics 33%
  7 Citations (Scopus)

  18 Downloads (Pure)

• Bifurcation and stability analysis in musculoskeletal systems: a study in human stance

  Verdaasdonk, B. W., Koopman, H. F. J. M., van Gils, S. A. & van der Helm, F. C. T., 2004, In: Biological cybernetics. 91, 1, p. 48-62 15 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  • Stability 100%
  • Bifurcation 100%
  • Model 100%
  • Stability Analysis 100%
  • Bifurcation Analysis 100%
  22 Citations (Scopus)

  3 Downloads (Pure)

• Instability of a lattice semifluxon in a current-biased 0-π array of Josephson junctions

  Susanto, H. & van Gils, S. A., 2004, In: Physical Review B (Condensed Matter and Materials Physics). 69, 9, p. 092507 4 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  File
  11 Citations (Scopus)

  190 Downloads (Pure)

• Resonance Tuning in Rhythmic Limb Movements: from Arm Swinging to Walking

  Verdaasdonk, B. W., Koopman, H. F. J. M., van Gils, S. A. & van der Helm, F. C. T., 4 Oct 2004, Proceedings of the 11th Dutch Annual Conference on BioMedical Engineering. Pontenagel, W. M. G. F. & Feijen, J. (eds.). Enschede: Institute for Biomedical Technology (University of Twente), p. 130-132 3 p.

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

• Semifluxons with a hump in a 0-π Josephson junction

  Susanto, H. & van Gils, S. A., 2004, In: Physica C. 408-410, 10.1016/j.physc.2004.03.035, p. 579-580 2 p., 10.1016/j.physc.2004.03.035.

  Research output: Contribution to journal › Article › Academic › peer-review
  6 Citations (Scopus)

  4 Downloads (Pure)

• Spectral analysis of solitary waves in a tricrystal junction

  Susanto, H. & van Gils, S. A., 30 Sept 2004, p. -.

  Research output: Contribution to conference › Poster › Other research output

• Stable Walking with central pattern generators

  Verdaasdonk, B. W., Koopman, H. F. J. M., van Gils, S. A. & van der Helm, F. C. T., 4 Jul 2004, Proceedings of the 14th European Society of Biomechanics Congress. Baaijens, F. (ed.). 's-Hertogenbosch

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

• 2003

  Bifurcation and stability analysis in musculo-skeletal systems

  Milburn, P. (Editor), Verdaasdonk, B. W., Koopman, H. F. J. M., WIlson, B. (Editor), van Gils, S. A., Yanai, T. (Editor) & van der Helm, F. C. T., 6 Jul 2003, p. 406-406. 1 p.

  Research output: Contribution to conference › Paper

• Geometrical approach to stationary waves in a shallow grating

  Valkering, T. P. & van Gils, S. A., 2003, In: Optical and quantum electronics. 35, 10, p. 947-958

  Research output: Contribution to journal › Article › Academic › peer-review

  • Standing Wave 100%
  • Coupled Modes 100%
  • Counters 50%
  • Differences 50%
  • Identifying 50%
  1 Citation (Scopus)

  5 Downloads (Pure)

• Invariance and symmetry in a year-class model

  Diekman, O. & van Gils, S. A., 2003, Bifurcations, Symmetry and Patterns. Buescu, J., Castro, S. B. S. D., da Silva Dias, A. P. & Salgodo Labouriau, I. (eds.). Birkhäuser, p. 141-150 (Trends in mathematics).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  • Characteristic Equation 100%

• Parameter dependence of homoclinic solutions in a single long Josephson junction

  van den Berg, J. B., van Gils, S. A. & Visser, T. P. P., 2003, In: Nonlinearity. 16, 2, p. 707-717 11 p., 10.1088/0951-7715/16/2/320.

  Research output: Contribution to journal › Article › Academic › peer-review
  11 Citations (Scopus)

  10 Downloads (Pure)

• Stable walking with central pattern generators

  Verdaasdonk, B. W., van der Helm, F. C. T., Koopman, H. F. J. M. & van Gils, S. A., 27 Oct 2003, p. 154-156. 2 p.

  Research output: Contribution to conference › Paper

• Static semifluxons in a long Josephson junction with pi-discontinuity points

  Susanto, H., van Gils, S. A., Visser, T. P. P. & Smilde, H. J. H., 2003, In: Physical Review B (Condensed Matter and Materials Physics). 68, p. 104501-

  Research output: Contribution to journal › Article › Academic › peer-review

• Static semifluxons in a long Josephson junction with π-discontinuity points

  Susanto, H., van Gils, S. A., Visser, T. P. P., Ariando, Smilde, H. J. H. & Hilgenkamp, H., 2003, In: Physical review B: Condensed matter and materials physics. 68, 10, p. 104501 8 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  • Discontinuity 100%
  • Statics 100%
  • Length 66%
  • Flat Surface 66%
  • Flat Surfaces 66%
  29 Citations (Scopus)

  27 Downloads (Pure)

• Travelling waves in a singularly perturbed sine-Gordon equations

  Derks, G. L. A., Derks, G., Doelman, A., van Gils, S. A. & Visser, T. P. P., 2003, In: Physica D. 180, 1-2, p. 40-70

  Research output: Contribution to journal › Article › Academic › peer-review

  • Model 100%
  • Stability 100%
  • Sine-Gordon Equation 100%
  • Wave 50%
  • Term 50%
  21 Citations (Scopus)

  2 Downloads (Pure)

• Year class coexistence or competitive exclusion for strict biennials?

  Davydova, N. V., Diekmann, O. & van Gils, S. A., 2003, In: Journal of mathematical biology. 46, 2, p. 95-131 37 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  • Exclusion 100%
  • Coexistence 100%
  • Class 100%
  • Reproduction 100%
  • Main Result 100%
  50 Citations (Scopus)

  4 Downloads (Pure)
• 2002

  A dynamical and variational view on periodic structures

  van Gils, S. A. & Valkering, T. P., 3 Oct 2002, p. -.

  Research output: Contribution to conference › Poster › Other research output

• Analogy between temperature-dependent and concentration-dependent bacterial killing

  Neef, C., van Gils, S. A. & Ijzerman, W. L., Nov 2002, In: Computers in biology and medicine. 31, 6, p. 529-549 21 p.

  Research output: Contribution to journal › Article › Academic › peer-review
  6 Citations (Scopus)

  11 Downloads (Pure)

• Bifurcation analysis in musculo skeletal systems

  Verdaasdonk, B. W., van der Helm, F. C. T., Koopman, H. F. J. M. & van Gils, S. A., 7 Oct 2002, (iBME) Proceedings of the 9th Dutch Annual Conference on BioMedical Engineering. Pontenagel, W. M. G. F. & Feijen, J. (eds.). Papendal-Arnhem, the Netherlands: Institute for Biomechanical Technology, University of Twente, p. 141-143

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

• Light in non-linear grating

  Suryanto, A., Valkering, T. P. & van Gils, S. A., 3 Oct 2002, p. -.

  Research output: Contribution to conference › Poster › Other research output

• 2001

  Multistability and hysteresis of standing waves in a periodic structure

  Strijbosch, W. A. C., Valkering, T. P. & van Gils, S. A., 26 Oct 2001, Nonlinear Optics for the Information Society: Proceedings of the Third Annual Meeting of the COST Action P2, held in Enschede, The Netherlands, 26–27 October 2000. Driessen, A. (ed.). Springer, p. 163-178 16 p.

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

  • Standing Wave 100%
  • Parameter 100%
  • Side 100%
  • Independent Variables 100%
  • Sides 100%

• Theoretical assessment of gait stability

  Pontenagel, W. M. G. F. (Editor), Verdaasdonk, B. W., Feijen, J. (Editor), van der Helm, F. C. T., Koopman, H. F. J. M. & van Gils, S. A., 2001, p. 176-178. 3 p.

  Research output: Contribution to conference › Paper

• UMTS network planning - The impact of user mobility

  van Gils, S. A., Iftime, O. V. & van der Ploeg, H. J., 2001, Proceedings of the 39th European Study Group with Industry (ESGI 39). van de Fliert, B. W. & Meinsma, G. (eds.). Maastricht: Shaker Publishing, p. 79-85 7 p.

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  Open Access

  File

  • Networks 100%
  • Planning 100%
  • User 100%
  • Network Planning 100%
  • Chains 50%
  56 Downloads (Pure)

• Year Class Coexistence or Competitive Exclusion for Strict Biennials?

  Davydova, N. V., Diekmann, O. & van Gils, S. A., 2001, Utrecht: Utrecht University. 28 p. (Preprints/ Department of Mathematics ; no. 1201)

  Research output: Book/Report › Report › Professional

  Open Access

  File

  • Coexistence 100%
  • Environmental Condition 100%
  • Population Dynamics 50%
  122 Downloads (Pure)
• 2000

  Difference equations with delay

  van Gils, S. A. & Diekman, O., 2000, In: Japan journal of industrial and applied mathematics. 70, p. 73-84 11 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  7 Citations (Scopus)

• Homoclinic twist bifurcation in a system of two coupled oscillators

  van Gils, S. A., Krupa, M. & Tchistiakov, V., 2000, In: Journal of dynamics and differential equations. 12, p. 733–80

  Research output: Contribution to journal › Article › Academic › peer-review

  • Periodic Orbit 100%
  • Neighbourhood 20%
  • Numerical Computation 20%
  • Parameter Space 20%
  5 Citations (Scopus)

  7 Downloads (Pure)
• 1999

  Asymptotic Dynamics in Adaptive Gain Control

  Mareels, I. M. Y., van Gils, S. A. & Polderman, J. W., 13 Jan 1999, Advances in Control, highlights of the 5th European Control Conference. Karlsruhe, p. 29-64 36 p.

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

• 1998

  About convergence of numerical approximations to homoclinic twist bifurcation points in Z₂-Symmetric Systems in ℝ4

  van Gils, S. A. & Tchistiakov, V., 1998, In: International journal of bifurcation and chaos in applied sciences and engineering. 8, 1, p. 107-116 10 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  • Bifurcation Point 100%
  • Numerical Approximation 100%
  • test function φ 75%
  • Codimension 50%
  • Parameter Vector 25%
  1 Citation (Scopus)
• 1997

  About Convergence of Numerical Approximations to Homoclinic Twist Bifurcation Points in Z₂-Symmetric Systems in ℝ⁴

  van Gils, S. A. & Tchistiakov, V., 1997, Enschede: University of Twente. 25 p. (Memorandum; no. 1371)

  Research output: Book/Report › Report › Professional

  Open Access

  File

  • Bifurcation Point 100%
  • test function φ 100%
  • Numerical Approximation 100%
  • Parameter Vector 33%
  • System Of Ordinary Differential Equations 33%
  117 Downloads (Pure)

• Homoclinic twist bifurcation in a system of two coupled oscillators

  van Gils, S. A., Krupa, M. & Tchistiakov, V., 1997, Enschede: University of Twente. 73 p. (Memoranda; no. 1399)

  Research output: Book/Report › Report › Professional

• 1996

  Modulated waves in a perturbed Korteweg-de Vries equation

  van Gils, S. A. & Soewono, E., 1996, Nonlinear Dynamical Systems and Chaos. Basel, Switserland: Birkhäuser, p. 325-346 22 p.

  Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

• Nonlinear Dynamical Sysems and Chaos, Progress in Nonlinear Differential quations and their Applications

  Broer, H. W., van Gils, S. A., Hoveijn, I. & Takens, F., 1996, Geen adressering: Birkhäuser. 459 p.

  Research output: Book/Report › Book › Academic

• 1995

  Delay-Equations: Functional, Complex and Nonlinear Analysis

  Diekman, O., van Gils, S. A., Verduyn lunel, S. M. & Walther, H., 1995, New York: Springer. 534 p.

  Research output: Book/Report › Book › Academic

• On the uniqueness of invariant tori in D4xS1-symmetric systems

  van Gils, S. A. & Silber, M., 1995, In: Nonlinearity. 8, 8, p. 615-628 14 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  File
  6 Citations (Scopus)

  134 Downloads (Pure)
• 1994

  An inhomogeneous Picard-Fuchs equation

  van Gils, S. A., 1994, Dynamics, Bifurcation and Symmetry: New Trends and New Tools. Chossat, P. (ed.). Dordrecht: Kluwer, p. 333-341 10 p. (NATO ASI Series C; vol. 437).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

  • Vector Field 100%
  • Hamiltonian Systems 50%
  • Homogeneous Differential Equation 50%
  • Periodic Orbit 50%
  • Limit Cycle 50%

• Homoclinic Twist Bifurcations with Z₂ symmetry

  Aronson, D. G., van Gils, S. A. & Krupa, M. P., 1994, In: Journal of nonlinear science. 4, 1, p. 195-219 24 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File

  • Points 100%
  • Equivariant 100%
  • Parameter Family 100%
  • Ordinary Differential Equation 100%
  13 Citations (Scopus)

  192 Downloads (Pure)