Published October 3, 1994
| Version v1
Journal article
Obstructions to shadowing when a Lyapunov exponent fluctuates about zero
Creators
- 1. Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
- 2. Department of Mathematics, University of Maryland, College Park, Maryland 20742 (United States)
- 3. Department of Mathematical Sciences, George Mason University, Fairfax, Virginia 22030 (United States)
- 4. Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742 (United States)
Description
We study the existence or nonexistence of true trajectories of chaotic dynamical systems that lie close to computer-generated trajectories. The nonexistence of such shadowing trajectories is caused by finite-time Lyapunov exponents of the system fluctuating about zero. A dynamical mechanism for the unshadowability is explained through a theoretical model and identified in simulations of a typical physical system. The problem of fluctuating Lyapunov exponents is expected to be common in simulations of higher-dimensional systems
Additional details
Publishing Information
- Journal Title
- Physical Review Letters
- Journal Volume
- 73
- Journal Issue
- 14
- Journal Page Range
- p. 1927-1930.
- ISSN
- 0031-9007
- CODEN
- PRLTAO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 26017806
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ATTRACTORS; COMPUTERS; FLUCTUATIONS; LYAPUNOV METHOD; MATHEMATICAL MODELS; SIMULATION; STOCHASTIC PROCESSES
- Descriptors DEC
- CALCULATION METHODS; VARIATIONS