Center manifolds, normal forms and bifurcations of vector fields with application to coupling between periodic and steady motions
- 1 June 1981
- journal article
- Published by Elsevier in Physica D: Nonlinear Phenomena
- Vol. 2 (3), 449-481
- https://doi.org/10.1016/0167-2789(81)90022-1
Abstract
No abstract availableThis publication has 16 references indexed in Scilit:
- A nonlinear oscillator with a strange attractorPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1979
- Bifurcation to divergence and flutter in flow-induced oscillations: an infinite dimensional analysisAutomatica, 1978
- Bifurcation formulae derived from center manifold theoryJournal of Mathematical Analysis and Applications, 1978
- ‘Strange’ phenomena in dynamical systems and their physical implicationsApplied Mathematical Modelling, 1977
- Bifurcations to divergence and flutter in flow-induced oscillations: A finite dimensional analysisJournal of Sound and Vibration, 1977
- Versal deformations of a singular point of a vector field on the plane in the case of zero eigenvaluesFunctional Analysis and Its Applications, 1975
- LECTURES ON BIFURCATIONS IN VERSAL FAMILIESRussian Mathematical Surveys, 1972
- The stable, center-stable, center, center-unstable, unstable manifoldsJournal of Differential Equations, 1967
- Dynamics of flexible slender cylinders in axial flow Part 1. TheoryJournal of Fluid Mechanics, 1966
- Deterministic Nonperiodic FlowJournal of the Atmospheric Sciences, 1963