DERPER—an algorithm for the continuation of periodic solutions in ordinary differential equations

[1]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.

[2]  E. Coddington,et al.  Theory of Ordinary Differential Equations , 1955 .

[3]  E. Lorenz.  Deterministic nonperiodic flow , 1963 .

[4]  Edward N. Lorenz,et al.  The Mechanics of Vacillation , 1963 .

[5]  Alston S. Householder,et al.  Handbook for Automatic Computation , 1960, Comput. J..

[6]  J. H. Wilkinson,et al.  Handbook for Automatic Computation. Vol II, Linear Algebra , 1973 .

[7]  Leon O. Chua,et al.  Computer-Aided Analysis Of Electronic Circuits , 1975 .

[8]  Milan Kubicek,et al.  Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5] , 1976, TOMS.

[9]  M.L. Liou,et al.  Computer-aided analysis of electronic circuits: Algorithms and computational techniques , 1977, Proceedings of the IEEE.

[10]  W. Langford.  Numerical solution of bifurcation problems for ordinary differential equations , 1977 .

[11]  B. Hassard.  Bifurcation of periodic solutions of Hodgkin-Huxley model for the squid giant axon. , 1978, Journal of theoretical biology.

[12]  Raman K. Mehra,et al.  Global Stability and Control Analysis of Aircraft at High Angles-of-Attack. , 1979 .

[13]  J. Rinzel,et al.  Numerical calculation of stable and unstable periodic solutions to the Hodgkin-Huxley equations , 1980 .

[14]  G. Iooss,et al.  Elementary stability and bifurcation theory , 1980 .

[15]  Raman K. Mehra,et al.  BIFURCATION ANALYSIS OF AIRCRAFT HIGH ANGLE-OF-ATTACK FLIGHT DYNAMICS , 1980 .

[16]  Werner C. Rheinboldt,et al.  Solution Fields of Nonlinear Equations and Continuation Methods , 1980 .

[17]  Werner C. Rheinboldt,et al.  A Program for a Locally-Parametrized Continuation Process. , 1981 .

[18]  W. Rheinboldt.  Numerical analysis of continuation methods for nonlinear structural problems , 1981 .

[19]  W. Greub.  Linear Algebra , 1981 .

[20]  R. Seydel.  Numerical computation of periodic orbits that bifurcate from stationary solutions of ordinary differential equations , 1981 .

[21]  Milan Kubíček,et al.  Book-Review - Computational Methods in Bifurcation Theory and Dissipative Structures , 1983 .

[22]  Direction of branches bifurcating at a bifurcation point. determination of starting points for a continuation algorithm , 1983 .