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Computing periodic orbits with high accuracy

  • Published:1999-03 Issue:3-4 Volume:170 Page:331-341
  • ISSN:0045-7825
  • Container-title:Computer Methods in Applied Mechanics and Engineering
  • language:en
  • Short-container-title:Computer Methods in Applied Mechanics and Engineering

Author:

Won Gyu Choe ,Guckenheimer J.

Publisher

Elsevier BV

Subject

Computer Science Applications,General Physics and Astronomy,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference7 articles.

1. Numerical Solution of Boundary Value Problems;Ascher,1988

2. AUTO: Software for Continuation and Bifurcation Problems in Ordinary Differential Equations;Doedel,1986

3. ODE Solving via automatic differentiation and rational prediction;Griewank;Pitman Res. Notes math. Ser.,1995

4. ADOL-C: A Package for the Automatic Differentiation of Algorithms Written in C/C++, Version 1.6;Griewank,1995

5. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields;Guckenheimer,1983

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2. Collisional $N$-Body Numerical Integrator with Applications to Charged Particle Dynamics;SIAM Journal on Scientific Computing;2018-01

3. Application of Taylor Series Integration to Reentry Problems;AIAA Atmospheric Flight Mechanics Conference;2016-01-01

4. Study on the stability and bifurcations of limit cycles in higher-dimensional nonlinear autonomous systems;Discrete & Continuous Dynamical Systems - B;2011

5. Systematic search of symmetric periodic orbits in 2DOF Hamiltonian systems;Chaos, Solitons & Fractals;2009-07
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