Oscillation types and bifurcations of a nonlinear second-order differential-difference equation

Journal of Dynamics and Differential Equations

Volumn 10, Issue 2, 1998, Pages 303-326

  Bayer, Wolf ^a   An Der Heiden, Uwe ^a  

^a UNIVERSITY OF WITTEN HERDECKE   (Germany)

Author keywords

Bifurcations; Nonlinear differential difference equations; Periodic orbits; Second order control system

Indexed keywords

EID: 54649084579     PISSN: 10407294     EISSN: 15729222     Source Type: Journal    
DOI: 10.1023/A:1022670017537     Document Type: Article

References (7)

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2. an der Heiden U., and Reichard, K. (1992). Multitude of oscillatory behaviour in a nonlinear second order differential-difference equation. ZAMM Z. angew. Math. Mech. 70, T621-T624.
3. an der Heiden, U., Longtin, A., Mackey, M. C., Milton, J. G., and Scholl, R. (1990). Oscillatory modes in a nonlinear second-order differential equation with delay. J. Dynam. Diff. Eq. 2, 423-449.
4. Campbell, S. A. and LeBlanc, V. G. (1997). Resonant Hopf-Hopf interactions in delay differential equations (in press).
5. Campbell, S. A., Bélair, J., Ohira, T., and Milton J. (1995). Limit cycles, tori and complex dynamics in a second-order differential equation with delayed negative feedback. J. Dynam. Diff, Eq. 7, 213-236.
6. Hale, J. K., and Ivanov, A. F. (1993). On higher order differential delay equations. Math. Anal. Appl. 173, 505-514.
7. Milton, J., and Longtin, A. (1990). Clamping the pupil light reflex with external feedback: Evaluation of constriction and dilation from cycling measurements. Vision Res. 30, 515-525.