Self-rotation number using the turning angle

Physica D: Nonlinear Phenomena

Volumn 145, Issue 1, 2000, Pages 25-46

  Dullin, H R ^a   Sterling, D ^a   Meiss, J D ^a  

^a UNIVERSITY OF COLORADO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; IMAGE ANALYSIS;

HENON MAPS; SELF-ROTATION NUMBERS;

COMPUTATIONAL GEOMETRY;

EID: 0034300282     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(00)00093-2     Document Type: Article

References (8)

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3. K.R. Meyer, G.R. Hall, Introduction to the Theory of Hamiltonian Systems of Applied Mathematical Sciences, Vol. 90, Springer, New York, 1992.
4. Peckham B.B. The necessity of the Hopf bifurcation for periodically forced oscillators. Nonlinearity. 3(2):1990;261-280.
5. Sterling D., Dullin H.R., Meiss J.D. Homoclinic bifurcations for the Hénon map. Physica D. 134:1999;153-184.
6. Aubry S.J. Anti-integrability in dynamical and variational problems. Physica D. 86:1995;284-296.
7. Sterling D., Meiss J.D. Computing periodic orbits using the anti-integrable limit. Phys. Lett. A. 241:1998;46-52.
8. H.R. Dullin, J.D. Meiss, Generalized Hénon maps: the cubic diffeomorphisms of the plane, Physica D 143 (2000) 265-292.