Abstract
Recently the orbit space reduction method has been successfully applied to study complex dynamical systems with symmetry (see e.g. Dias and Chossat [3], Marsden [5], and Scheurle [9]). In particular, combined with some kind of center manifold reduction procedure, that method has been used to analyze bifurcation and stability properties of relative equilibrium solutions of mechanical systems. Those solutions become genuine equilibria on the orbit space.
This work has been supported by the DFG under the contract Sche233/3–1
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© 1996 Springer Basel AG
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Rumberger, M., Scheurle, J. (1996). Invariant C j functions and center manifold reduction. In: Broer, H.W., van Gils, S.A., Hoveijn, I., Takens, F. (eds) Nonlinear Dynamical Systems and Chaos. Progress in Nonlinear Differential Equations and Their Applications, vol 19. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7518-9_7
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DOI: https://doi.org/10.1007/978-3-0348-7518-9_7
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