Computing periodic orbits with high accuracy

Computer Methods in Applied Mechanics and Engineering

Volumn 170, Issue 3-4, 1999, Pages 331-341

  Choe, Won Gyu ^a   Guckenheimer, J ^a  

^a Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIATION (CALCULUS); NUMERICAL ANALYSIS;

PERIODIC ORBITS; SOFTWARE PACKAGE MATLAB; TAYLOR SERIES EXPANSION; VECTOR FIELDS;

VECTORS;

EID: 0032625222     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0045-7825(98)00201-1     Document Type: Article

References (7)

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2. E. Doedel, AUTO: Software for Continuation and Bifurcation Problems in Ordinary Differential Equations, (CIT Press, Pasadena, 1986).
3. A. Griewank, ODE Solving via automatic differentiation and rational prediction, Numerical Analysis (Dundee, 1995), Pitman Res. Notes math. Ser., 344 (1995) 36-56.
4. A. Griewank, D. Juedes and J. Utke, ADOL-C: A Package for the Automatic Differentiation of Algorithms Written in C/C++, Version 1.6, Argonne National Laboratory, 1995.
5. J. Guckenheimer and P. Holmes. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, (Springer-Verlag, 1983).
6. J. Guckenheimer and I. Labouriau, Bifurcation of the Hodgkin Huxley equations: A New Twist, Bulletin of Math. Biol. 55 (1993) 937-952.
7. A.L. Hodgkin and A.F. Huxley. A quantitative description of membrane current and its applications to conduction and excitation in nerve. J. Physiology, 117 (152) 500-544.