Abstract
In this note we reveal some of the special structure of a year-class model. We formulate a certain parameter symmetry and compute the characteristic equation at the unique nontrivial equilibrium. In the case of equal sensitivity we derive phase-amplitude equations and show the existence of an invariant manifold.
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Diekmann, O., van Gils, S. (2003). Invariance and Symmetry in a Year-class Model. In: Buescu, J., Castro, S.B.S.D., da Silva Dias, A.P., Labouriau, I.S. (eds) Bifurcation, Symmetry and Patterns. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7982-8_11
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DOI: https://doi.org/10.1007/978-3-0348-7982-8_11
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9642-9
Online ISBN: 978-3-0348-7982-8
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