Stability of classical chaotic motion under a system's perturbations

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 5 2, 2003, Pages

  Benenti, Giuliano ^a,b   Casati, Giulio ^a,b,c   Veble, Gregor ^a,b,d  

^a UNIVERSITY OF INSUBRIA   (Italy)

^b INFM   (Italy)

^c INFN SEZIONE DI MILANO   (Italy)

^d UNIVERSITY OF MARIBOR   (Slovenia)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; CORRELATION METHODS; HAMILTONIANS; LYAPUNOV METHODS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; QUANTUM THEORY;

PERRON-FROBENIUS OPERATOR; PHASE SPACE DENSITY; SCHRODINGER EQUATION; TRANSITION MATRIX;

CHAOS THEORY;

EID: 42749108514     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

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20. We note that the short time Lyapunov decay of fidelity is by no means a typical feature of correlation functions, since the short time decay of D(t) is determined by the motion of the "center of mass" of the initial distribution ρ(x,0), a trivial effect which is suppressed in fidelity due to the backward evolution.