PREPRINTS
 
RECENT PUBLICATIONS
  1. A Computational Study of Spike Time Reliability in Two Cases of Threshold Dynamics", , N. Yu, Y.-X. Li, R. Kuske, J. Mathematical Neuroscience, 3, 2013. doi:10.1186/2190-8567-3-11
  2. Stochastic Regular Grazing Bifurcations", , D.J.W. Simpson, S.J. Hogan, R. Kuske, SIAM Applied Dynamical Systems, to appear.
  3. Dynamics of Simple Balancing Models with Time-Delayed Switching Feedback Control", , D.J.W. Simpson, R. Kuske, Y.-X. Li, J. Nonl. Sci, 22, 135-167, 2012.
  4. Stochastic phase dynamics of noise driven synchronization of two conditional coherent oscillators, , W. F. Thompson, R. Kuske, and Y.X. Li, Discrete and Continuous Dynamical Systems A, Discrete and Continuous Dynamical Systems A, 32,2971-2995, 2012.
  5. Mixed-mode oscillations in a stochastic, piecewise-linear system , D.J.W. Simpson and R. Kuske, Physica D 240, pp. 1189-1198, 2011.
  6. Characterizing Noisy Mixed Mode Oscillations in Neuronal Models , P. Borowski, R. Kuske, Y.-X. Li, and J. L. Cabrera, Chaos, 2010.
  7. Weak convergence of the Euler Scheme for stochastic differential delay equations, ,E. Buckwar, R. Kuske, S. Mohammed, and T. Shardlow, LMS Journal of Computational Mathematics, 2008.
  8. Sustained oscillations via coherence resonance in SIR, , P. Greenwood, L. Gordilla,J. Theoretical Biology, 245 2007,459-469.
  9. Multiple-scales approximation for a coherence resonance route to chatter,, R. Kuske, Computing in Science and Engineering, 8, 2006, 2-88. (PDF)
  10. An Asymptotic Framework for finite hydraulic fractures including leak-off, S. Mitchell, R. Kuske, and A. Peirce, 2007, SIAP (PDF)
  11. Multiscale analysis of stochastic delay-differential equations, M.M. Klosek and R. Kuske, SIAM Multi-scale Modeling and Simulation, 2005. (PDF)(preprint version)
  12. A singular perturbation problem for a fourth order ordinary differential equation, R. Kuske and L.A. Peletier, Nonlinearity, 2005 (PDF) (preprint version)
  13. Noise-sensitivity in machine tool vibrations E. Buckwar, R. Kuske, B. L'Esperance, and T. Soo, Int. J. of Bif and Chaos, 2006 (PDF) (preprint version)
  14. Localized and asynchronous patterns via canards in coupled calcium oscillators, H. Rotstein and R. Kuske, to appear, Physica D. (PDF)
  15. Noise induced coherence and network oscillations in a reduced bursting model, S. Reinker, YX Li, R. Kuske, to appear, Bull. Math Bio. (PDF)
  16. Multi-scale analysis of noise-sensitivity near a bifurcation, R. Kuske, IUTAM Conference: Nonlinear Stochastic Dynamics, 2003. (PDF)
  17. Asymptotic analysis of noise sensitivity of a neuronal burster, R. Kuske and S. M. Baer, Bull. Math. Bio., 2002. (PDF)
  18. Asymptotics of cellular buckling close to Maxwell load, C.J. Budd, G.W. Hunt, and R. Kuske, Proc. Roy. Soc. 2002. (PDF)
  19. Asymptotic analysis of noise-amplified oscillations for subcritical delays, R. Kuske, Differential Equations and Dynamical Systems, 2002.
  20. American options with dividends near expiry, J.D. Evans, R. Kuske, and Joseph B. Keller, Mathematical Finance, 2002. (PDF)
  21. Rate of Convergence to a Stable Law, R. Kuske and J.B.Keller, SIAM J. Appl Math, 2000. (PDF)
  22. Probability densities for noisy delay bifurcations, R. Kuske, J. Stat. Phys. , 96 , 1999, 797-816. (PDF)
  23. Modulated two-dimensional patterns in reaction-diffusion systems, R. Kuske and P. Milewski, EJAM , 10 , 1999, 157-184. (PDF)
  24. Optimal Exercise Boundary for an American Put Option, R. Kuske and J.B.Keller, Applied Mathematical Finance 5 , 107-116 (1998). (PDF)
  25. The invariant density of a chaotic dynamical system with small noise, R. Kuske and G. Papanicolaou, Physica D , 120 255-272, (1998). (PDF)
  26. Large deviation theory for stochastic difference equations, R. Kuske and J.B.Keller, EJAM 8 (1997),567-580. (PDF)
  27. Bifurcations to localized oscillations, R. Kuske and T. Erneux, Euro. J. Appl. Math, 1997.
  28. Localized synchronization of two coupled solid state lasers, R. Kuske and T. Ernuex, Optics Comm., 1997.
 
 
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Research reported on this page supported in part by NSF-DMS9796319, and NSF-DMS0072311, and a NSERC Discovery Grant.
 
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