Strange Attractors with One Direction of Instability
By Qiudong Wang, Lai-Sang Young. 2001
205 citations recorded by the source corpus.
Subfields: Economics and Econometrics, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/6833c33aee262254d2a04a80e00e7f5fdb0faa93
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Economics and Econometrics
In Mathematical Physics
- A. Blumenthal
- Jinxin Xue
- Stefano Luzzatto
- Lai-Sang Young
- Yongluo Cao
- Tomasz Downarowicz
- Igor Mezi'c
- Andrew J. Majda
In Statistical and Nonlinear Physics
- A. Blumenthal
- Jinxin Xue
- Stefano Luzzatto
- Lai-Sang Young
- Yongluo Cao
- Tomasz Downarowicz
- Igor Mezi'c
- Andrew J. Majda
Citations in the corpus
- Lyapunov exponents for random perturbations of some area-preserving maps including the standard map (2017, result): “…which are very short compared to previous works on establishing nonuniform hyperbolicity for deterministic maps (e.g., [Jak81], [BC85], [BC91], [WY01], [WY06], [WY08]), are based on the following idea: We view the random process as a Markov chain on the projective bundle of the manifold on…”
- Some non-hyperbolic systems with strictly non-zero Lyapunov exponents for all invariant measures: Horseshoes with internal tangencies (2003, background): “Another part of the motivation for this result is to give an example of a compact invariant set which is as “uniformly” hyperbolic as possible in the ergodic theory sense, but still not uniformly hyperbolic.”
- Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps (2008, unknown): “Wang, Young [WY01] for Hénon-like maps.”