1985/08/21 by Roberto Benzi, R Benzi, G. Paladin +5 · 1 citation
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems
paper · doi:10.1088/0305-4470/18/12/013
openalex publication_date 1985/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The authors discuss the characterisation of intermittency in chaotic dynamical systems by means of the time fluctuations of the response to a slight perturbation on the trajectory. A set of exponents is introduced which generalise the maximum Lyapunov characteristic exponent. The link with the statistical mechanics formalism is emphasised and they show that the exponents are connected to a free energy formally defined for chaotic systems. They perform some analytical computations in simple cases and give a few numerical examples.