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- W124830483 abstract "Consider an annulus A with coordinates $$(theta,r)$$ , $$theta + 2pi equiv theta $$ , $$r in [a,b]$$ . A map $$(theta,r)mapsto ({theta }_{1},{r}_{1})$$ is twist if it satisfies $$frac{partial {theta }_{1}} {partial r} > 0$$ . Twist maps have been extensively studied and they are useful to understand the dynamics of autonomous or periodic Hamiltonian systems. In this course we study twist maps without assuming periodicity in θ. In other words, the annulus A is replaced by a strip $$S = mathbb{R} times [a,b]$$ . This new class of twist maps can be applied to the study of generalized standard maps or ping-pong models with a general non-autonomous time dependence." @default.
- W124830483 created "2016-06-24" @default.
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- W124830483 date "2012-09-19" @default.
- W124830483 modified "2023-10-14" @default.
- W124830483 title "Twist Mappings with Non-Periodic Angles" @default.
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- W124830483 doi "https://doi.org/10.1007/978-3-642-32906-7_5" @default.
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