# Strange Attractors with One Direction of Instability

@article{Wang2001StrangeAW, title={Strange Attractors with One Direction of Instability}, author={Qiudong Wang and Lai-Sang Young}, journal={Communications in Mathematical Physics}, year={2001}, volume={218}, pages={1-97} }

Abstract: We give simple conditions that guarantee, for strongly dissipative maps, the existence of strange attractors with a single direction of instability and certain controlled behaviors. Only the d= 2 case is treated in this paper, although our approach is by no means limited to two phase-dimensions. We develop a dynamical picture for the attractors in this class, proving they have many of the statistical properties associated with chaos: positive Lyapunov exponents, existence of SRB…

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