Connecting orbits in perturbed systems

Colonius F, Hüls T, Rasmussen M (2010)
NONLINEAR DYNAMICS 59(4): 569-578.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Colonius, Fritz; Hüls, ThorstenUniBi; Rasmussen, Martin
Abstract / Bemerkung
We apply Newton's method and continuation techniques to determine heteroclinic connections in perturbed non-autonomous differential equations which do not exist for the underlying unperturbed system. This approach is particularly useful in a higher-dimensional context, where the numerical computation of invariant manifolds is very expensive. A detailed discussion of a four-dimensional model is presented, which describes a pendulum coupled to a harmonic oscillator.
Stichworte
Newton method; Perturbations; Control; Connecting orbits
Erscheinungsjahr
2010
Zeitschriftentitel
NONLINEAR DYNAMICS
Band
59
Ausgabe
4
Seite(n)
569-578
ISSN
0924-090X
Page URI
https://pub.uni-bielefeld.de/record/1588646

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Colonius F, Hüls T, Rasmussen M. Connecting orbits in perturbed systems. NONLINEAR DYNAMICS. 2010;59(4):569-578.
Colonius, F., Hüls, T., & Rasmussen, M. (2010). Connecting orbits in perturbed systems. NONLINEAR DYNAMICS, 59(4), 569-578. https://doi.org/10.1007/s11071-009-9563-3
Colonius, F., Hüls, T., and Rasmussen, M. (2010). Connecting orbits in perturbed systems. NONLINEAR DYNAMICS 59, 569-578.
Colonius, F., Hüls, T., & Rasmussen, M., 2010. Connecting orbits in perturbed systems. NONLINEAR DYNAMICS, 59(4), p 569-578.
F. Colonius, T. Hüls, and M. Rasmussen, “Connecting orbits in perturbed systems”, NONLINEAR DYNAMICS, vol. 59, 2010, pp. 569-578.
Colonius, F., Hüls, T., Rasmussen, M.: Connecting orbits in perturbed systems. NONLINEAR DYNAMICS. 59, 569-578 (2010).
Colonius, Fritz, Hüls, Thorsten, and Rasmussen, Martin. “Connecting orbits in perturbed systems”. NONLINEAR DYNAMICS 59.4 (2010): 569-578.

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