Computing periodic orbits with high accuracy

DOI10.1016/S0045-7825(98)00201-1zbMath0954.65092MaRDI QIDQ1965150

Won Gyu Choe, John Guckenheimer

Publication date: 8 February 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

algorithmsperiodic orbitsdynamical systemsnumerical examplesautomatic differentiationvector fieldsHodgkin-Huxley equations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Periodic orbits of vector fields and flows (37C27) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items (8)

A chaotic lattice field theory in one dimension* ⋮ Collisional $N$-Body Numerical Integrator with Applications to Charged Particle Dynamics ⋮ Systematic search of symmetric periodic orbits in 2DOF Hamiltonian systems ⋮ DETECTION OF LIMIT CYCLE BIFURCATIONS USING HARMONIC BALANCE METHODS ⋮ Performance of the Taylor series method for ODEs/DAEs ⋮ IMPROVED NUMERICAL FLOQUET MULTIPLIERS ⋮ BIFURCATION, BURSTING AND SPIKE GENERATION IN A NEURAL MODEL ⋮ VSVO formulation of the Taylor method for the numerical solution of ODEs

Uses Software

• ADOL-C
• Matlab
• AUTO
• AUTO-86

Cites Work

• Bifurcation of the Hodgkin and Huxley equations: A new twist
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
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