The numerical detection of connecting orbits

Discrete and Continuous Dynamical Systems - Series B

Volumn 1, Issue 1, 2001, Pages 125-135

  Dellnitz, M ^a   Junge, O ^a   Thiere, B ^a  

^a UNIVERSITY OF PADERBORN   (Germany)

Author keywords

Detection of connecting orbits; Heteroclinic orbit

Indexed keywords

EID: 27144465831     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2001.1.125     Document Type: Article

References (6)

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2. M. Dellnitz and A. Hohmann. The computation of unstable manifolds using subdivision and continuation. In H.W. Broer, S.A. van Gils, I. Hoveijn, and F. Takens, editors, Nonlinear Dynamical Systems and Chaos, pages 449-459. Birkhäuser, PNLDE 19, 1996.
3. M. Dellnitz and A. Hohmann. A subdivision algorithm for the computation of unstable manifolds and global attractors. Numerische Mathematik, 75:293-317, 1997.
4. E.J. Doedel and M.J. Friedman. Numerical computation of heteroclinic orbits. Journal of Computational and Applied Mathematics, 26:155-170, 1989.
5. J. Guckenheimer and Ph. Holmes. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer, 1983.
6. H. Spreuer and E. Adams. On the existence and the verified determination of homoclinic and heteroclinic orbits of the origin for the lorenz equations. In R. Albrecht, G. Alefeld, and H.J. Stetter, editors, Validation Numerics, pages 233-246. Springer, 1993.