MEMORY LOSS FOR NONEQUILIBRIUM OPEN DYNAMICAL SYSTEMS

作者：Mohapatra Anushaya^*; Ott William

来源：Discrete and Continuous Dynamical Systems, 2014, 34(9): 3747-3759.

DOI：10.3934/dcds.2014.34.3747

• Conditional memory loss
• convex cone
• Hilbert metric
• nonequilibrium dynamical system
• open dynamical system

We introduce a notion of conditional memory loss for nonequilibrium open dynamical systems. We prove that this type of memory loss occurs at an exponential rate for nonequilibrium open systems generated by one-dimensional piecewise-differentiable expanding Lasota-Yorke maps. This result may be viewed as a prototype for time-dependent dynamical systems with holes.

• 出版日期2014-9