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November  2003, 9(6): 1361-1386. doi: 10.3934/dcds.2003.9.1361

Sustainable dynamical systems

John Erik Fornæss 1,

1. 

Department of Mathematics, University of Michigan, East Hall 525, East University Avenue, Ann Arbor, MI 48109-1109, United States

Received  July 2002 Revised  August 2003 Published  September 2003

In this paper we investigate randomly perturbed orbits. If a dynamical system is hyperbolic one can keep random perturbations from accumulating into large deviations by making small corrections. We study the converse problem. This leads naturally to the notion of sustainable orbits.
Keywords: hyperbolicity, Sustainability, Hénon maps., complex dynamics.
Mathematics Subject Classification: Primary: 32H50; Secondary: 37A2.
Citation: John Erik Fornæss. Sustainable dynamical systems. Discrete & Continuous Dynamical Systems, 2003, 9 (6) : 1361-1386. doi: 10.3934/dcds.2003.9.1361
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