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- W2078169742 abstract "We give a treatment of the non-resonant bifurcations involving asymmetric fixed points with Jacobian J ≠ 1 in reversible mappings of the plane. These bifurcations include the saddle-node bifurcation not in the neighbourhood of a fixed point with J = 1, as well as the so-called transcritical bifurcations and generalized Rimmer bifurcations taking place at a fixed point with Jacobian J = 1. The bifurcations are illustrated by some simple examples of model maps. The Rimmer type of bifurcation, with e.g. a center point with J = 1 changing into a saddle with Jacobian J = 1, an attractor and a repeller, occurs under more general conditions, i.e. also in non-reversible mappings if only a certain order of local reversibility is satisfied. These Rimmer bifurcations are important in connection with the emergence of dissipative features in non-measure-preserving reversible dynamical systems." @default.
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- W2078169742 date "1990-04-01" @default.
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- W2078169742 title "Bifurcations in two-dimensional reversible maps" @default.
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- W2078169742 doi "https://doi.org/10.1016/0378-4371(90)90226-i" @default.
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