-
1
-
-
0019575243
-
Collocation software for boundary value ODEs
-
Ascher, U. M., Christiansen, J. & Russell, R. D. [1981] "Collocation software for boundary value ODEs," ACM Trans. Math. Software 7, 209-222.
-
(1981)
ACM Trans. Math. Software
, vol.7
, pp. 209-222
-
-
Ascher, U.M.1
Christiansen, J.2
Russell, R.D.3
-
3
-
-
0003154080
-
A new basis implementation for a mixed order boundary value ode solver
-
Bader, G. & Ascher, U. M. [1987] "A new basis implementation for a mixed order boundary value ode solver," SIAM J. Sci. Stat. Comput. 8, 483-500.
-
(1987)
SIAM J. Sci. Stat. Comput.
, vol.8
, pp. 483-500
-
-
Bader, G.1
Ascher, U.M.2
-
4
-
-
0000268882
-
A model for the regulation of mammalian platelet production
-
Bélair, J. & Mackey, M. C. [1987] "A model for the regulation of mammalian platelet production," Ann. N.Y. Acad. Sci. 504, 280-282.
-
(1987)
Ann. N.Y. Acad. Sci.
, vol.504
, pp. 280-282
-
-
Bélair, J.1
Mackey, M.C.2
-
5
-
-
0002053152
-
Linearizing equations with state-dependent delays
-
Brokate, M. & Colonius, F. [1990] "Linearizing equations with state-dependent delays," Appl. Math. Optim. 21, 45-52.
-
(1990)
Appl. Math. Optim.
, vol.21
, pp. 45-52
-
-
Brokate, M.1
Colonius, F.2
-
7
-
-
21344442580
-
On the problem of linearization for state-dependent delay differential equations
-
Cooke, K. L. & Huang, M. [1996] "On the problem of linearization for state-dependent delay differential equations," Proc. AMS 124, 1417-1426.
-
(1996)
Proc. AMS
, vol.124
, pp. 1417-1426
-
-
Cooke, K.L.1
Huang, M.2
-
9
-
-
84966234694
-
Collocation approximation to eigenvalues of an ordinary differential equation: The principle of the thing
-
de Boor, C. ge Swartz, B. [1980] "Collocation approximation to eigenvalues of an ordinary differential equation: The principle of the thing," Math. Comput. 35, 679-694.
-
(1980)
Math. Comput.
, vol.35
, pp. 679-694
-
-
De Boor, C.1
Ge Swartz, B.2
-
10
-
-
0013357283
-
Collocation approximation to eigenvalues of an ordinary differential equation: Numerical illustration
-
de Boor, C. & Swartz, B. [1981] "Collocation approximation to eigenvalues of an ordinary differential equation: Numerical illustration," Math. Comput. 36, 1-19.
-
(1981)
Math. Comput.
, vol.36
, pp. 1-19
-
-
De Boor, C.1
Swartz, B.2
-
11
-
-
0021628867
-
The computer-aided bifurcation analysis of predator-prey models
-
Doedel, E. J. [1984] "The computer-aided bifurcation analysis of predator-prey models," J. Math. Biol. 20, 1-14.
-
(1984)
J. Math. Biol.
, vol.20
, pp. 1-14
-
-
Doedel, E.J.1
-
12
-
-
0000757329
-
A numerical technique for bifurcation problems in delay differential equations
-
Doedel, E. J. & Leung, P. P. C. [1982] "A numerical technique for bifurcation problems in delay differential equations," Congr. Numer. 34, 225-237.
-
(1982)
Congr. Numer.
, vol.34
, pp. 225-237
-
-
Doedel, E.J.1
Leung, P.P.C.2
-
13
-
-
0003487030
-
-
Technical Report CRPC-95-2, Center for Research on Parallel Computing, California Institute of Technology, Pasadena, USA
-
Doedel, E. J., Wang, X. J. & Fairgrieve, T. F. [1995] "AUTO94: Software for continuation and bifurcation problems in ordinary differential equations," Technical Report CRPC-95-2, Center for Research on Parallel Computing, California Institute of Technology, Pasadena, USA.
-
(1995)
AUTO94: Software for Continuation and Bifurcation Problems in Ordinary Differential Equations
-
-
Doedel, E.J.1
Wang, X.J.2
Fairgrieve, T.F.3
-
15
-
-
0034770393
-
Collocation methods for the computation of periodic solutions of delay differential equations
-
Engelborghs, K., Luzyanina, T., in't Hout, K. & Roose, D. [2000] "Collocation methods for the computation of periodic solutions of delay differential equations," SIAM J. Sci. Comput. 22, 1593-1609.
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, pp. 1593-1609
-
-
Engelborghs, K.1
Luzyanina, T.2
In't Hout, K.3
Roose, D.4
-
16
-
-
0036627555
-
Stability of piecewise polynomial collocation methods for computing periodic solutions of delay differential equations
-
Engelborghs, K. & Doedel, E. J. [2002] "Stability of piecewise polynomial collocation methods for computing periodic solutions of delay differential equations," Numer. Math. 91, 627-648.
-
(2002)
Numer. Math.
, vol.91
, pp. 627-648
-
-
Engelborghs, K.1
Doedel, E.J.2
-
17
-
-
0017714604
-
Oscillation and chaos in physiological control systems
-
Glass, L. & Mackey, M. C. [1977] "Oscillation and chaos in physiological control systems," Science 197, 287-289.
-
(1977)
Science
, vol.197
, pp. 287-289
-
-
Glass, L.1
Mackey, M.C.2
-
18
-
-
34250250639
-
Effective computation of periodic orbits and bifurcation diagrams in delay equations
-
Hadeler, K. P. [1980] "Effective computation of periodic orbits and bifurcation diagrams in delay equations," Numer. Math. 34, 457-467.
-
(1980)
Numer. Math.
, vol.34
, pp. 457-467
-
-
Hadeler, K.P.1
-
19
-
-
0000702457
-
Onset of chaos in differential delay equations
-
Hale, J. K. & Sternberg, N. [1988] "Onset of chaos in differential delay equations," J. Comput. Phys. 77, 221-239.
-
(1988)
J. Comput. Phys.
, vol.77
, pp. 221-239
-
-
Hale, J.K.1
Sternberg, N.2
-
20
-
-
0003346959
-
Theory of functional differential equations
-
(Springer-Verlag, Berlin)
-
Hale, J. K. [1997] Theory of Functional Differential Equations, Applied Mathematical Science, Vol. 3 (Springer-Verlag, Berlin).
-
(1997)
Applied Mathematical Science
, vol.3
-
-
Hale, J.K.1
-
21
-
-
0000591125
-
On differentiability of solutions with respect to parameters in state-dependent delay equations
-
Hartung, F. & Turi, J. [1997] "On differentiability of solutions with respect to parameters in state-dependent delay equations," J. Diff. Eqns. 135, 192-237.
-
(1997)
J. Diff. Eqns.
, vol.135
, pp. 192-237
-
-
Hartung, F.1
Turi, J.2
-
22
-
-
84901845347
-
Linearized stability in functional differential equations with state-dependent delays
-
eds. Du, J. & Hu, S. (added volume to Discrete and Continuous Dynamical Systems)
-
Hartung, F. & Turi, J. [2001] "Linearized stability in functional differential equations with state-dependent delays," in Dynamical Systems and Differential Equations, eds. Du, J. & Hu, S. (added volume to Discrete and Continuous Dynamical Systems), pp. 416-425.
-
(2001)
Dynamical Systems and Differential Equations
, pp. 416-425
-
-
Hartung, F.1
Turi, J.2
-
23
-
-
0016128963
-
Ordinary differential equations which yield periodic solutions of differential delay equations
-
Kaplan, J. L. & Yorke, J. A. [1974] "Ordinary differential equations which yield periodic solutions of differential delay equations," J. Math. Anal. Appl. 48, 317-324.
-
(1974)
J. Math. Anal. Appl.
, vol.48
, pp. 317-324
-
-
Kaplan, J.L.1
Yorke, J.A.2
-
24
-
-
0031279807
-
Computation, continuation and bifurcation analysis of periodic solutions of delay differential equations
-
Luzyanina, T., Engelborghs, K., Lust, K. & Roose, D. [1997] "Computation, continuation and bifurcation analysis of periodic solutions of delay differential equations," Int. J. Bifurcation and Chaos 7, 2547-2560.
-
(1997)
Int. J. Bifurcation and Chaos
, vol.7
, pp. 2547-2560
-
-
Luzyanina, T.1
Engelborghs, K.2
Lust, K.3
Roose, D.4
-
25
-
-
0013355215
-
Differential equations with state-dependent delay: Numerical study
-
eds. Owens, R. & Deville, M., International Association for Mathematics and Computers in Simulation, Lausanne, Switzerland
-
Luzyanina, T., Engelborghs, K. & Roose, D. [2000] "Differential equations with state-dependent delay: Numerical study" in 16th IMACS World Congress 2000 Proc., eds. Owens, R. & Deville, M., International Association for Mathematics and Computers in Simulation, Lausanne, Switzerland, pp. 1-6.
-
(2000)
16th IMACS World Congress 2000 Proc.
, pp. 1-6
-
-
Luzyanina, T.1
Engelborghs, K.2
Roose, D.3
-
26
-
-
0035632530
-
Numerical bifurcation analysis of differential equations with state-dependent delay
-
Luzyanina, T., Engelborghs, K. & Roose, D. [2001] "Numerical bifurcation analysis of differential equations with state-dependent delay," Int. J. Bifurcation and Chaos 11, 737-754.
-
(2001)
Int. J. Bifurcation and Chaos
, vol.11
, pp. 737-754
-
-
Luzyanina, T.1
Engelborghs, K.2
Roose, D.3
-
27
-
-
51249170529
-
Boundary layer phenomena for differential-delay equations with state-dependent time lags, 1
-
Mallet-Parer, J. & Nussbaum, R. D. [1992] "Boundary layer phenomena for differential-delay equations with state-dependent time lags, 1," Arch. Rat. Mech. Anal. 120, 99-146.
-
(1992)
Arch. Rat. Mech. Anal.
, vol.120
, pp. 99-146
-
-
Mallet-Parer, J.1
Nussbaum, R.D.2
-
28
-
-
21444453228
-
Boundary layer phenomena for differential-delay equations with state dependent time lags: II
-
Mallet-Paret, J. & Nussbaum, R. D. [1996] "Boundary layer phenomena for differential-delay equations with state dependent time lags: II," J. Reine Angew. Math. 477, 129-197.
-
(1996)
J. Reine Angew. Math.
, vol.477
, pp. 129-197
-
-
Mallet-Paret, J.1
Nussbaum, R.D.2
-
29
-
-
0003063589
-
Periodic solutions of nonlinear autonomous functional differential equations
-
eds. Peitgen, H.-O. & Walther, H.-O. (Springer-Verlag)
-
Nussbaum, R. D. [1978] "Periodic solutions of nonlinear autonomous functional differential equations," in Functional Differential Equations and Approximation of Fixed Points, eds. Peitgen, H.-O. & Walther, H.-O. (Springer-Verlag), pp. 283-325.
-
(1978)
Functional Differential Equations and Approximation of Fixed Points
, pp. 283-325
-
-
Nussbaum, R.D.1
-
31
-
-
0002102436
-
Adaptive mesh selection strategies for solving boundary value problems
-
Russell, R. D. & Christiansen, J. [1978] "Adaptive mesh selection strategies for solving boundary value problems," SIAM J. Numer. Anal. 15, 59-80.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 59-80
-
-
Russell, R.D.1
Christiansen, J.2
-
32
-
-
0012953824
-
A theorem on the amplitudes of periodic solutions of differential delay equations with application to bifurcation
-
Walther, H.-O. [1978] "A theorem on the amplitudes of periodic solutions of differential delay equations with application to bifurcation," J. Diff. Eqns. 39, 369-404.
-
(1978)
J. Diff. Eqns.
, vol.39
, pp. 369-404
-
-
Walther, H.-O.1
|