20042020
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Research Output 2004 2020

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Article
2019
3 Citations (Scopus)
33 Downloads (Pure)

A Comparison of Evoked and Non-evoked Functional Networks

Hebbink, J., van Blooijs, D., Huiskamp, G., Leijten, F. S. S., van Gils, S. A. & Meijer, H. G. E., 30 May 2019, In : Brain topography. 32, 3, p. 405-417 13 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Electric Stimulation
Causality
Epilepsy
Language
Aptitude
25 Downloads (Pure)

Homoclinic saddle to saddle-focus transitions in 4D systems

Kalia, M., Kouznetsov, I. A. & Meijer, H. G. E., Jun 2019, In : Nonlinearity. 32, 6, p. 2024-2054 31 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Homoclinic
saddles
Saddle
eigenvalues
Eigenvalue
Nonlinear dynamical systems
Boundary value problems
Subsystem
Model
Oscillation
1 Citation (Scopus)
53 Downloads (Pure)

Pathological responses to single pulse electrical stimuli in epilepsy: the role of feedforward inhibition

Hebbink, J., Huiskamp, G. J. M., van Gils, S. A., Leijten, F. S. S. & Meijer, H. G. E., 27 Aug 2019, In : European journal of neuroscience.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Electric Stimulation
Epilepsy
Biomarkers
Partial Epilepsy
Electrocorticography
2018
4 Citations (Scopus)
25 Downloads (Pure)

Evoked directional network characteristics of epileptogenic tissue derived from single pulse electrical stimulation

van Blooijs, D., Leijten, F. S. S., van Rijen, P. C., Meijer, H. G. E. & Huiskamp, G. J. M., Nov 2018, In : Human brain mapping. 39, 11, p. 4611-4622 12 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Electric Stimulation
Seizures
Tissue
Electrode
Electrodes
31 Downloads (Pure)

Numerical bifurcation analysis of double +1 multiplier in ℤ3-symmetric maps

Mazrooei-Sebdani, R., Eskandari, Z. & Meijer, H. G. E., 2 Sep 2018, In : Journal of difference equations and applications. 24, 9, p. 1402-1413

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Bifurcation (mathematics)
Bifurcation Analysis
Normal Form
Multiplier
Numerical Analysis
1 Citation (Scopus)
2 Downloads (Pure)

Numerical Bifurcation Analysis of Homoclinic Orbits Embedded in One-Dimensional Manifolds of Maps

Neirynck, N., Govaerts, W., Kouznetsov, I. A. & Meijer, H. G. E., Apr 2018, In : ACM transactions on mathematical software. 44, 3, 25.

Research output: Contribution to journalArticleAcademicpeer-review

Homoclinic Orbit
Bifurcation Analysis
Numerical Analysis
Orbits
Connecting Orbits
2017
10 Citations (Scopus)
49 Downloads (Pure)

Phenomenological network models: Lessons for epilepsy surgery

Hebbink, J., Meijer, H., Huiskamp, G., van Gils, S. A. & Leijten, F., 4 Oct 2017, In : Epilepsia. 58, 10, p. e147-e151 5 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Epilepsy
Seizures
Population
Research
9 Citations (Scopus)

Synaptic damage underlies EEG abnormalities in postanoxic encephalopathy: A computational study

Ruijter, B. J., Hofmeijer, J., Meijer, H. G. E. & van Putten, M. J. A. M., 2017, In : Clinical neurophysiology. 128, 9, p. 1682 1695 p.

Research output: Contribution to journalArticleAcademicpeer-review

Brain Diseases
Electroencephalography
Synapses
Coma
Synaptic Transmission
2016
1 Citation (Scopus)
36 Downloads (Pure)
Open Access
File
1 Citation (Scopus)
46 Downloads (Pure)
Open Access
File
8 Citations (Scopus)
20 Downloads (Pure)

Initialization of Homoclinic Solutions near Bogdanov-Takens Points: Lindstedt-Poincaré Compared with Regular Perturbation Method

Al Hdaibat, B., Govaerts, W., Kouznetsov, I. A. & Meijer, H. G. E., 17 May 2016, In : SIAM journal on applied dynamical systems. 15, 2, p. 952-980 29 p.

Research output: Contribution to journalArticleAcademicpeer-review

File
2015
8 Citations (Scopus)
1 Downloads (Pure)

Accurate Approximation of Homoclinic Solutions in Gray-Scott Kinetic Model

Kouznetsov, I. A., Meijer, H. G. E., Al Hdaibat, B. & Govaerts, W., Aug 2015, In : International journal of bifurcation and chaos in applied sciences and engineering. 25, 9, p. 1550125 10 p.

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)
46 Downloads (Pure)

Computational modeling of Adelta-fiber-mediated nociceptive detection of electrocutaneous stimulation

Yang, H., Meijer, H. G. E., Doll, R., Buitenweg, J. R. & van Gils, S. A., Oct 2015, In : Biological cybernetics. 109, 4, p. 479-491 13 p.

Research output: Contribution to journalArticleAcademicpeer-review

File
8 Citations (Scopus)

Exploiting pallidal plasticity for stimulation in Parkinson’s disease

Lourens, M. A. J., Schwab, B. C., Nirody, J. A., Meijer, H. G. E. & van Gils, S. A., Apr 2015, In : Journal of neural engineering. 12, 2, p. 026005 20 p.

Research output: Contribution to journalArticleAcademicpeer-review

15 Citations (Scopus)
53 Downloads (Pure)

Modeling Focal Epileptic Activity in the Wilson-Cowan Model with Depolarization Block

Meijer, H. G. E., Eissa, T. L., Kiewiet, B., Neuman, J. F., Schevon, C. A., Emerson, R. G., Goodman, R. R., McKhann Jr., G. M., Marcuccilli, C. J., Tryba, A. K., Cowan, J. D., van Gils, S. A. & van Drongelen, W., 27 Mar 2015, In : Journal of mathematical neuroscience. 5, 1, p. 7 17 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Seizures
Sigmoid Colon
Human Activities
Theoretical Models
Neurons
3 Citations (Scopus)
32 Downloads (Pure)

Tracking pattern evolution through extended center manifold reduction and singular perturbations

Sewalt, L., Doelman, A., Meijer, H. G. E., Rottschäfer, V. & Zagaris, A., 1 Apr 2015, In : Physica D. 298-299, p. 48-67 20 p.

Research output: Contribution to journalArticleAcademicpeer-review

File
2014
4 Citations (Scopus)

Analysis of bifurcations of limit cycles with Lyapunov exponents and numerical normal forms

de Witte, V., Govaerts, W., Kouznetsov, I. A. & Meijer, H. G. E., 2014, In : Physica D. 269, p. 126-141 16 p.

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
64 Downloads (Pure)

Bifurcation analysis of a model for atherosclerotic plaque evolution

Bulelzai, M. A. K., Dubbeldam, J. L. A. & Meijer, H. G. E., 2014, In : Physica D. 278-279, p. 31-43 12 p.

Research output: Contribution to journalArticleAcademicpeer-review

File
8 Citations (Scopus)
85 Downloads (Pure)

Improved homoclinic predictor for Bogdanov-Takens bifurcation

Kouznetsov, I. A., Meijer, H. G. E., Al Hdaibat, B. & Govaerts, W., 24 Apr 2014, In : International journal of bifurcation and chaos in applied sciences and engineering. 24, 4, p. 1450057 12 p.

Research output: Contribution to journalArticleAcademicpeer-review

File
9 Citations (Scopus)

Tracking of nociceptive thresholds using adaptive psychophysical methods

Doll, R., Buitenweg, J. R., Meijer, H. G. E. & Veltink, P. H., Mar 2014, In : Behavior research methods. 46, 1, p. 55-66 12 p.

Research output: Contribution to journalArticleAcademicpeer-review

11 Citations (Scopus)
47 Downloads (Pure)

Travelling waves in a neural field model with refractoriness

Meijer, H. G. E. & Coombes, S., Apr 2014, In : Journal of mathematical biology. 68, 5, p. 1249-1268 20 p.

Research output: Contribution to journalArticleAcademicpeer-review

File
53 Downloads (Pure)

Travelling waves in models of neural tissue: from localised structures to periodic waves

Meijer, H. G. E. & Coombes, S., 6 Mar 2014, In : EPJ nonlinear biomedical physics. 2, 3, p. 1-18 18 p.

Research output: Contribution to journalArticleAcademicpeer-review

File
2013
27 Citations (Scopus)

Functional neuronal activity and connectivity within the subthalamic nucleus in Parkinson's disease

Lourens, M. A. J., Meijer, H. G. E., Contarino, M. F., van den Munckhof, P., Schuurman, P. R., van Gils, S. A. & Bour, L. J., May 2013, In : Clinical neurophysiology. 124, 5, p. 967-981 15 p.

Research output: Contribution to journalArticleAcademicpeer-review

Subthalamic Nucleus
Parkinson Disease
Deep Brain Stimulation
Electrodes
Atlases
13 Downloads (Pure)

Phase-locking of epileptic spikes to ongoing delta oscillations in non-convulsive status epilepticus

Hindriks, R., Meijer, H. G. E., van Gils, S. A. & van Putten, M. J. A. M., 16 Dec 2013, In : Frontiers in systems neuroscience. 7, 10 p., 111.

Research output: Contribution to journalArticleAcademicpeer-review

File
Status Epilepticus
Neurons
Electroencephalography
2012
3 Citations (Scopus)
46 Downloads (Pure)
Open Access
File
Neocortex
Population
6 Citations (Scopus)
28 Downloads (Pure)

The Hopf-van der Pol system: Failure of a homotopy method

Meijer, H. G. E. & Kalmár-Nagy, T., 2012, In : Differential equations and dynamical systems. 20, 3, p. 323-328 6 p.

Research output: Contribution to journalArticleAcademicpeer-review

File
2011
16 Citations (Scopus)

From Parkinsonian thalamic activity to restoring thalamic relay using deep brain stimulation: new insights from computational modeling

Meijer, H. G. E., Krupa, M., Cagnan, H., Lourens, M. A. J., Heida, T., Martens, H. C. F., Bour, L. J. & van Gils, S. A., 12 Oct 2011, In : Journal of neural engineering. 8, 6, 13 p., 066005.

Research output: Contribution to journalArticleAcademicpeer-review

Deep Brain Stimulation
Basal Ganglia
Brain
Microelectrodes
Parkinson Disease
9 Citations (Scopus)

The pedunculopontine nucleus as an additional target for deep brain stimulation

Lourens, M. A. J., Meijer, H. G. E., Heida, T., Marani, E. & van Gils, S. A., Aug 2011, In : Neural networks. 24, 6, p. 617-630 14 p.

Research output: Contribution to journalArticleAcademicpeer-review

2010
8 Citations (Scopus)

Comparing Epileptiform Behavior of Mesoscale Detailed Models and Population Models of Neocortex

Visser, S., Meijer, H. G. E., Lee, H. C., van Drongelen, W., van Putten, M. J. A. M. & van Gils, S. A., Dec 2010, In : Journal of clinical neurophysiology. 27, 6, p. 471-478 8 p.

Research output: Contribution to journalArticleAcademicpeer-review

2009
44 Downloads (Pure)

A dynamic neural model of localization of brief successive stimuli in saltation

Meijer, H. G. E., Trojan, J., Kleinböhl, D., Hölzl, R. & Buitenweg, J. R., Jul 2009, In : BMC neuroscience. 10, Suppl 1, p. P350 2 p., 10.1186/1471-2202-10-S1-P350.

Research output: Contribution to journalArticleAcademic

File
1 Citation (Scopus)
7 Downloads (Pure)

Emergence and bifurcations of Lyapunov manifolds in nonlinear wave equations

Bakri, T., Meijer, H. G. E. & Verhulst, F., Oct 2009, In : Journal of nonlinear science. 19, 5, p. 571-596 26 p., 10.1007/s00332-009-9045-2.

Research output: Contribution to journalArticleAcademicpeer-review

File
21 Citations (Scopus)
65 Downloads (Pure)

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 journalArticleAcademicpeer-review

File
13 Citations (Scopus)

Numerical continuation of connecting orbits of maps in MATLAB

Khoshsiar Ghaziani, R., Govaerts, W., Kouznetsov, I. A. & Meijer, H. G. E., 2009, In : Journal of difference equations and applications. 15, 8-9, p. 849-875 27 p., 10.1080/10236190802357677.

Research output: Contribution to journalArticleAcademicpeer-review

2008
117 Citations (Scopus)

New features of the software MatCont for bifurcation analysis of dynamical systems.

Dhooge, A., Govaerts, W., Kouznetsov, I. A., Meijer, H. G. E. & Sautois, B., 2008, In : Mathematical and computer modelling of dynamical systems. 14, 1/2, p. 147-175 29 p., 10.1080/13873950701742754.

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)

Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs

Kouznetsov, I. A., Meijer, H. G. E., Govaerts, W. & Sautois, B., 2008, In : Physica D. 237, 1/23, p. 3061-3068 8 p., 10.1016/j.physd.2008.06.006.

Research output: Contribution to journalArticleAcademicpeer-review

2007
30 Citations (Scopus)
3 Downloads (Pure)

Numerical methods for two-parameter local bifurcation analysis of maps

Govaerts, W., Khoshsiar Ghaziani, R., Kuznetsov, Y. A. & Meijer, H. G. E., 2 Nov 2007, In : SIAM journal on scientific computing. 29, 6, p. 2644-2667 24 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Local Bifurcations
Bifurcation (mathematics)
Bifurcation Analysis
Two Parameters
Numerical methods
2006
27 Citations (Scopus)

Remarks on interacting Neimark-Sacker bifurcations

Kuznetsov, Y. A. & Meijer, H. G. E., 1 Oct 2006, In : Journal of difference equations and applications. 12, 10, p. 1009-1035 27 p.

Research output: Contribution to journalArticleAcademicpeer-review

Neimark-Sacker Bifurcation
Normal Form
Bifurcation
Hopf bifurcation
Bifurcation (mathematics)
2005
25 Citations (Scopus)

Generalized Hénon map and bifurcations of homoclinic tangencies

Gonchenko, V. S., Kuznetsov, Y. A. & Meijer, H. G. E., 1 Dec 2005, In : SIAM journal on applied dynamical systems. 4, 2, p. 407-436 30 p.

Research output: Contribution to journalArticleAcademicpeer-review

Homoclinic
Saddle
Homoclinic Tangency
Bifurcation
Two Parameters
38 Citations (Scopus)

Numerical normal forms for codim 2 bifurcations of fixed points with at most two critical eigenvalues

Kuznetsov, Y. A. & Meijer, H. G. E., 25 Nov 2005, In : SIAM journal on scientific computing. 26, 6, p. 1932-1954 23 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
Normal Form
Bifurcation
Fixed point
Eigenvalue
Epidemic Model
2004
35 Citations (Scopus)

The fold-flip bifurcation

Kuznetsov, Y. A., Meijer, H. G. E. & Van Veen, L., 1 Jan 2004, In : International journal of bifurcation and chaos in applied sciences and engineering. 14, 7, p. 2253-2282 30 p.

Research output: Contribution to journalArticleAcademicpeer-review

Flip
Normal Form
Fold
Bifurcation
Local Bifurcations