ON COMPUTING HETEROCLINIC TRAJECTORIES OF NON-AUTONOMOUS MAPS

Hüls T, Zou Y (2012)
Discrete and Continuous Dynamical Systems - Series B 17(1): 79-99.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Hüls, ThorstenUniBi; Zou, Yongkui
Abstract / Bemerkung
We propose an adequate notion of a heteroclinic trajectory in non-autonomous systems that generalizes the notion of a heteroclinic orbit of an autonomous system. A heteroclinic trajectory connects two families of semi-bounded trajectories that are bounded in backward and forward time. We apply boundary value techniques for computing one representative of each family. These approximations allow the construction of projection boundary conditions that enable the calculation of a heteroclinic trajectory with high accuracy. The resulting algorithm is applied to non-autonomous toy models as well as to an example from mathematical biology.
Stichworte
heteroclinic connection; Non-autonomous discrete time dynamical systems; error analysis; numerical approximation; boundary value problems
Erscheinungsjahr
2012
Zeitschriftentitel
Discrete and Continuous Dynamical Systems - Series B
Band
17
Ausgabe
1
Seite(n)
79-99
ISSN
1531-3492
Page URI
https://pub.uni-bielefeld.de/record/2454697

Zitieren

Hüls T, Zou Y. ON COMPUTING HETEROCLINIC TRAJECTORIES OF NON-AUTONOMOUS MAPS. Discrete and Continuous Dynamical Systems - Series B. 2012;17(1):79-99.
Hüls, T., & Zou, Y. (2012). ON COMPUTING HETEROCLINIC TRAJECTORIES OF NON-AUTONOMOUS MAPS. Discrete and Continuous Dynamical Systems - Series B, 17(1), 79-99. https://doi.org/10.3934/dcdsb.2012.17.79
Hüls, T., and Zou, Y. (2012). ON COMPUTING HETEROCLINIC TRAJECTORIES OF NON-AUTONOMOUS MAPS. Discrete and Continuous Dynamical Systems - Series B 17, 79-99.
Hüls, T., & Zou, Y., 2012. ON COMPUTING HETEROCLINIC TRAJECTORIES OF NON-AUTONOMOUS MAPS. Discrete and Continuous Dynamical Systems - Series B, 17(1), p 79-99.
T. Hüls and Y. Zou, “ON COMPUTING HETEROCLINIC TRAJECTORIES OF NON-AUTONOMOUS MAPS”, Discrete and Continuous Dynamical Systems - Series B, vol. 17, 2012, pp. 79-99.
Hüls, T., Zou, Y.: ON COMPUTING HETEROCLINIC TRAJECTORIES OF NON-AUTONOMOUS MAPS. Discrete and Continuous Dynamical Systems - Series B. 17, 79-99 (2012).
Hüls, Thorsten, and Zou, Yongkui. “ON COMPUTING HETEROCLINIC TRAJECTORIES OF NON-AUTONOMOUS MAPS”. Discrete and Continuous Dynamical Systems - Series B 17.1 (2012): 79-99.

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