-
1
-
-
33749336242
-
Oscillatory regulation of hes1: Discrete stochastic delay modelling and simulation
-
p. e117
-
Barrio, M., Burrage, K., Leier, A., and Tian, T., 2006. "Oscillatory regulation of hes1: Discrete stochastic delay modelling and simulation". PLoS Comput Biol, 2(9), 09, p. e117.
-
(2006)
PLoS Comput Biol
, vol.2
, Issue.9
, pp. 09
-
-
Barrio, M.1
Burrage, K.2
Leier, A.3
Tian, T.4
-
2
-
-
34248147513
-
Stochastic delay differential equations for genetic regulatory networks
-
Special issue on evolutionary problems
-
Tian, T., Burrage, K., Burrage, P. M., and Carletti, M., 2007. "Stochastic delay differential equations for genetic regulatory networks". Journal of Computational and Applied Mathematics, 205(2), pp. 696 - 707. Special issue on evolutionary problems.
-
(2007)
Journal of Computational and Applied Mathematics
, vol.205
, Issue.2
, pp. 696-707
-
-
Tian, T.1
Burrage, K.2
Burrage, P.M.3
Carletti, M.4
-
3
-
-
33750540166
-
Noise-sensitivity in machine tool vibrations
-
Buckwar, E., Kuske, R., L'Esperance, B., and Soo, T., 2006. "Noise-sensitivity in machine tool vibrations". International Journal of Bifurcation and Chaos, 16(08), pp. 2407-2416.
-
(2006)
International Journal of Bifurcation and Chaos
, vol.16
, Issue.8
, pp. 2407-2416
-
-
Buckwar, E.1
Kuske, R.2
L'esperance, B.3
Soo, T.4
-
4
-
-
1842585017
-
Enhancement of the low-level components of milling vibration signals by stochastic resonance
-
Klamecki, B., 2004. "Enhancement of the low-level components of milling vibration signals by stochastic resonance". Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 218(1), pp. 33-41.
-
(2004)
Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering
, vol.218
, Issue.1
, pp. 33-41
-
-
Klamecki, B.1
-
5
-
-
5544262166
-
Solution moment stability in stochastic differential delay equations
-
Oct
-
Mackey, M. C., and Nechaeva, I. G., 1995. "Solution moment stability in stochastic differential delay equations". Phys. Rev. E, 52(4), Oct, pp. 3366-3376.
-
(1995)
Phys. Rev. e
, vol.52
, Issue.4
, pp. 3366-3376
-
-
Mackey, M.C.1
Nechaeva, I.G.2
-
6
-
-
0000680355
-
Small delay approximation of stochastic delay differential equations
-
Apr
-
Guillouzic, S., L'Heureux, I., and Longtin, A., 1999. "Small delay approximation of stochastic delay differential equations". Phys. Rev. E, 59, Apr, pp. 3970-3982.
-
(1999)
Phys. Rev. e
, vol.59
, pp. 3970-3982
-
-
Guillouzic, S.1
L'heureux, I.2
Longtin, A.3
-
7
-
-
3543110755
-
A semidiscretization method for delayed stochastic systems
-
Elbeyli, O., Sun, J., and Unal, G., 2005. "A semidiscretization method for delayed stochastic systems". Communications in Nonlinear Science and Numerical Simulation, 10(1), pp. 85-94.
-
(2005)
Communications in Nonlinear Science and Numerical Simulation
, vol.10
, Issue.1
, pp. 85-94
-
-
Elbeyli, O.1
Sun, J.2
Unal, G.3
-
8
-
-
0035420558
-
Stationary solutions of linear stochastic delay differential equations: Applications to biological systems
-
Jul
-
Frank, T. D., and Beek, P. J., 2001. "Stationary solutions of linear stochastic delay differential equations: Applications to biological systems". Phys. Rev. E, 64, Jul, p. 021917.
-
(2001)
Phys. Rev. e
, vol.64
, pp. 021917
-
-
Frank, T.D.1
Beek, P.J.2
-
9
-
-
0034509078
-
Introduction to the numerical analysis of stochastic delay differential equations
-
Numerical Analysis 2000. Vol. VI: Ordinary Differential Equations and Integral Equations
-
Buckwar, E., 2000. "Introduction to the numerical analysis of stochastic delay differential equations". Journal of Computational and Applied Mathematics, 125(1-2), pp. 297 -307. Numerical Analysis 2000. Vol. VI: Ordinary Differential Equations and Integral Equations.
-
(2000)
Journal of Computational and Applied Mathematics
, vol.125
, Issue.1-2
, pp. 297-307
-
-
Buckwar, E.1
-
10
-
-
0037293686
-
Numerical solutions of stochastic differential delay equations under local lipschitz condition
-
Mao, X., and Sabanis, S., 2003. "Numerical solutions of stochastic differential delay equations under local lipschitz condition". Journal of Computational and Applied Mathematics, 151(1), pp. 215 - 227.
-
(2003)
Journal of Computational and Applied Mathematics
, vol.151
, Issue.1
, pp. 215-227
-
-
Mao, X.1
Sabanis, S.2
-
11
-
-
33646534005
-
Approximate solutions of stochastic differential delay equations with markovian switching
-
Yuan, C., and Glover, W., 2006. "Approximate solutions of stochastic differential delay equations with markovian switching". Journal of Computational and Applied Mathematics, 194(2), pp. 207 - 226.
-
(2006)
Journal of Computational and Applied Mathematics
, vol.194
, Issue.2
, pp. 207-226
-
-
Yuan, C.1
Glover, W.2
-
12
-
-
34548450855
-
Multi-step maruyama methods for stochastic delay differential equations
-
Buckwar, E., and Winkler, R., 2007. "Multi-step maruyama methods for stochastic delay differential equations". Stochastic Analysis and Applications, 25(5), pp. 933-959.
-
(2007)
Stochastic Analysis and Applications
, vol.25
, Issue.5
, pp. 933-959
-
-
Buckwar, E.1
Winkler, R.2
-
13
-
-
2142818234
-
Discretetime approximations of stochastic delay equations: The milstein scheme
-
Hu, Y., Mohammed, S.-E. A., and Yan, F., 2004. "Discretetime approximations of stochastic delay equations: The milstein scheme". Annals of Probability, 32(1A), pp. 265-314.
-
(2004)
Annals of Probability
, vol.32
, Issue.1 A
, pp. 265-314
-
-
Hu, Y.1
Mohammed, S.-E.A.2
Yan, F.3
-
14
-
-
23844491182
-
Exponential stability in p-th mean of solutions, and of convergent eulertype solutions, of stochastic delay differential equations
-
Baker, C. T. H., and Buckwar, E., Dec.
-
Baker, C. T. H., and Buckwar, E., 2005. "Exponential stability in p-th mean of solutions, and of convergent eulertype solutions, of stochastic delay differential equations". J. Comput. Appl. Math., 184(2), Dec., pp. 404-427.
-
(2005)
J. Comput. Appl. Math.
, vol.184
, Issue.2
, pp. 404-427
-
-
-
15
-
-
33748434648
-
A note on exponential stability in pth mean of solutions of stochastic delay differential equations
-
Luo, J., 2007. "A note on exponential stability in pth mean of solutions of stochastic delay differential equations". Journal of Computational and Applied Mathematics, 198(1), pp. 143 - 148.
-
(2007)
Journal of Computational and Applied Mathematics
, vol.198
, Issue.1
, pp. 143-148
-
-
Luo, J.1
-
16
-
-
33750933459
-
Exponential stability of equidistant eulermaruyama approximations of stochastic differential delay equations
-
Mao, X., 2007. "Exponential stability of equidistant eulermaruyama approximations of stochastic differential delay equations". Journal of Computational and Applied Mathematics, 200(1), pp. 297 - 316.
-
(2007)
Journal of Computational and Applied Mathematics
, vol.200
, Issue.1
, pp. 297-316
-
-
Mao, X.1
-
18
-
-
77957553895
-
Principal component analysis
-
Abdi, H., and Williams, L. J., 2010. "Principal component analysis". Wiley Interdisciplinary Reviews: Computational Statistics, 2(4), pp. 433-459.
-
(2010)
Wiley Interdisciplinary Reviews: Computational Statistics
, vol.2
, Issue.4
, pp. 433-459
-
-
Abdi, H.1
Williams, L.J.2
-
20
-
-
0034704222
-
Nonlinear dimensionality reduction by locally linear embedding
-
Roweis, S., and Saul, L., 2000. "Nonlinear dimensionality reduction by locally linear embedding". Science, 290(5500), p. 23232326.
-
(2000)
Science
, vol.290
, Issue.5500
, pp. 23232326
-
-
Roweis, S.1
Saul, L.2
-
21
-
-
0042378381
-
Laplacian eigenmaps for dimensionality reduction and data representation
-
Belkin, M., and Niyogi, P., 2003. "Laplacian eigenmaps for dimensionality reduction and data representation". Neural Computation, 15(6), pp. 1373-1396.
-
(2003)
Neural Computation
, vol.15
, Issue.6
, pp. 1373-1396
-
-
Belkin, M.1
Niyogi, P.2
-
22
-
-
0037948870
-
Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data
-
Donoho, D. L., and Grimes, C., 2003. "Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data". Proceedings of the National Academy of Sciences, 100(10), pp. 5591-5596.
-
(2003)
Proceedings of the National Academy of Sciences
, vol.100
, Issue.10
, pp. 5591-5596
-
-
Donoho, D.L.1
Grimes, C.2
-
23
-
-
14544307975
-
Principal manifolds and nonlinear dimension reduction via local tangent space alignment
-
Zhang, Z., and Zha, H., 2002. "Principal manifolds and nonlinear dimension reduction via local tangent space alignment". SIAM Journal of Scientific Computing, 26, pp. 313-338.
-
(2002)
SIAM Journal of Scientific Computing
, vol.26
, pp. 313-338
-
-
Zhang, Z.1
Zha, H.2
-
24
-
-
33745431702
-
Diffusion maps
-
Special Issue: Diffusion Maps and Wavelets
-
Coifman, R. R., and Lafon, S., 2006. "Diffusion maps". Applied and Computational Harmonic Analysis, 21(1), pp. 5 - 30. Special Issue: Diffusion Maps and Wavelets.
-
(2006)
Applied and Computational Harmonic Analysis
, vol.21
, Issue.1
, pp. 5-30
-
-
Coifman, R.R.1
Lafon, S.2
-
25
-
-
33745342032
-
Diffusion maps, spectral clustering and reaction coordinates of dynamical systems
-
Special Issue: Diffusion Maps and Wavelets
-
Nadler, B., Lafon, S., Coifman, R. R., and Kevrekidis, I. G., 2006. "Diffusion maps, spectral clustering and reaction coordinates of dynamical systems". Applied and Computational Harmonic Analysis, 21(1), pp. 113 - 127. Special Issue: Diffusion Maps and Wavelets.
-
(2006)
Applied and Computational Harmonic Analysis
, vol.21
, Issue.1
, pp. 113-127
-
-
Nadler, B.1
Lafon, S.2
Coifman, R.R.3
Kevrekidis, I.G.4
-
26
-
-
48349109325
-
Non-linear independent component analysis with diffusion maps
-
Singer, A., and Coifman, R. R., 2008. "Non-linear independent component analysis with diffusion maps". Applied and Computational Harmonic Analysis, 25(2), pp. 226 -239.
-
(2008)
Applied and Computational Harmonic Analysis
, vol.25
, Issue.2
, pp. 226-239
-
-
Singer, A.1
Coifman, R.R.2
-
27
-
-
24644511779
-
Multiscale analysis of stochastic delay differential equations
-
Klosek, M., and Kuske, R., 2005. "Multiscale analysis of stochastic delay differential equations". Multiscale Modeling & Simulation, 3(3), pp. 706-729.
-
(2005)
Multiscale Modeling & Simulation
, vol.3
, Issue.3
, pp. 706-729
-
-
Klosek, M.1
Kuske, R.2
-
28
-
-
5244342270
-
Stochastic resonance in coupled oscillator systems with time delay
-
Feb
-
Kim, S., Park, S. H., and Pyo, H.-B., 1999. "Stochastic resonance in coupled oscillator systems with time delay". Phys. Rev. Lett., 82, Feb, pp. 1620-1623.
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 1620-1623
-
-
Kim, S.1
Park, S.H.2
Pyo, H.-B.3
-
29
-
-
0001676780
-
Resonance with noise and delay
-
Apr
-
Ohira, T., and Sato, Y., 1999. "Resonance with noise and delay". Phys. Rev. Lett., 82, Apr, pp. 2811-2815.
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 2811-2815
-
-
Ohira, T.1
Sato, Y.2
-
30
-
-
0037148346
-
Noise-induced resonance in delayed feedback systems
-
Masoller, C., 2002. "Noise-induced resonance in delayed feedback systems". Phys. Rev. Lett., 88(3), p. 34102.
-
(2002)
Phys. Rev. Lett.
, vol.88
, Issue.3
, pp. 34102
-
-
Masoller, C.1
-
31
-
-
33646409330
-
Multiple-scales approximation of a coherence resonance route to chatter
-
Kuske, R., 2006. "Multiple-scales approximation of a coherence resonance route to chatter". Computing in Science Engineering, 8(3), pp. 35-43.
-
(2006)
Computing in Science Engineering
, vol.8
, Issue.3
, pp. 35-43
-
-
Kuske, R.1
-
32
-
-
77954346089
-
Competition of noise sources in systems with delay: The role of multiple time scales
-
Kuske, R., 2010. "Competition of noise sources in systems with delay: The role of multiple time scales". Journal of Vibration and Control, 16(7-8), pp. 983-1003.
-
(2010)
Journal of Vibration and Control
, vol.16
, Issue.7-8
, pp. 983-1003
-
-
Kuske, R.1
-
33
-
-
84867079606
-
Stochastic resonance in a time-delayed bistable system with colored coupling between noise terms
-
Luo, X., Wu, D., and Zhu, S., 2012. "Stochastic resonance in a time-delayed bistable system with colored coupling between noise terms". International Journal of Modern Physics B, 26(30), p. 1250149.
-
(2012)
International Journal of Modern Physics B
, vol.26
, Issue.30
, pp. 1250149
-
-
Luo, X.1
Wu, D.2
Zhu, S.3
-
34
-
-
84861412710
-
Structure of the afferent terminals in terminal ganglion of a cricket and persistent homology
-
p. e37278
-
Brown, J., and Gedeon, T., 2012. "Structure of the afferent terminals in terminal ganglion of a cricket and persistent homology". PLoS ONE, 7(5), 05, p. e37278.
-
(2012)
PLoS ONE
, vol.7
, Issue.5
, pp. 05
-
-
Brown, J.1
Gedeon, T.2
-
35
-
-
79955561607
-
Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival
-
Nicolau, M., Levine, A. J., and Carlsson, G., 2011. "Topology based data analysis identifies a subgroup of breast cancers with a unique mutational profile and excellent survival". Proceedings of the National Academy of Sciences, 108(17), pp. 7265-7270.
-
(2011)
Proceedings of the National Academy of Sciences
, vol.108
, Issue.17
, pp. 7265-7270
-
-
Nicolau, M.1
Levine, A.J.2
Carlsson, G.3
-
36
-
-
41849094721
-
Coverage in sensor networks via persistent homology
-
Apr.
-
de Silva, V., and Ghrist, R., 2007. "Coverage in sensor networks via persistent homology". Algebraic&Geometric Topology, 7, Apr., pp. 339-358.
-
(2007)
Algebraic&Geometric Topology
, vol.7
, pp. 339-358
-
-
De Silva, V.1
Ghrist, R.2
-
37
-
-
84864674640
-
Failure filtrations for fenced sensor networks
-
Munch, E., Shapiro, M., and Harer, J., 2012. "Failure filtrations for fenced sensor networks". The International Journal of Robotics Research, 31(9), pp. 1044-1056.
-
(2012)
The International Journal of Robotics Research
, vol.31
, Issue.9
, pp. 1044-1056
-
-
Munch, E.1
Shapiro, M.2
Harer, J.3
-
38
-
-
36848999261
-
On the local behavior of spaces of natural images
-
Carlsson, G., Ishkhanov, T., de Silva, V., and Zomorodian, A., 2008. "On the local behavior of spaces of natural images". International Journal of Computer Vision, 76, pp. 1-12. 10.1007/s11263-007-0056-x.
-
(2008)
International Journal of Computer Vision
, vol.76
, pp. 1-12
-
-
Carlsson, G.1
Ishkhanov, T.2
De Silva, V.3
Zomorodian, A.4
-
42
-
-
0034505541
-
Topological persistence and simplification
-
Edelsbrunner, H., Letscher, D., and Zomorodian, A., 2000. "Topological persistence and simplification". In Foundations of Computer Science, 2000. Proceedings. 41st Annual Symposium on, pp. 454 -463.
-
(2000)
Foundations of Computer Science, 2000. Proceedings. 41st Annual Symposium on
, pp. 454-463
-
-
Edelsbrunner, H.1
Letscher, D.2
Zomorodian, A.3
-
45
-
-
0035439412
-
An algorithmic introduction to numerical simulation of stochastic differential equations
-
Higham, D., 2001. "An algorithmic introduction to numerical simulation of stochastic differential equations". SIAM Review, 43(3), pp. 525-546.
-
(2001)
SIAM Review
, vol.43
, Issue.3
, pp. 525-546
-
-
Higham, D.1
-
46
-
-
84925991017
-
-
Manuscript, Duke University
-
Harer, J., Slaczedek, J., and Bendich, P., 2014. "Ripscollapse: discrete morse theory and fast computation of onedimensional persistence.". Manuscript, Duke University.
-
(2014)
Ripscollapse: Discrete Morse Theory and Fast Computation of Onedimensional Persistence
-
-
Harer, J.1
Slaczedek, J.2
Bendich, P.3
|