Lyapunov exponent - Open Access .click

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Physical Review E, 1999
We investigate the dynamical behavior of unstable systems in the vicinity of the critical point associated with a liquid-gas phase transition. By considering a mean-field treatment, we first perform a linear analysis and discuss the instability growth times.
M, Colonna, A, Bonasera
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Lyapunov Exponents

2016
Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynamics. Utilising a pragmatic, physical approach, this self-contained book provides a comprehensive description of the concept. Beginning with the basic properties and numerical methods, it then guides readers through to the most recent advances in ...
Pikovskij, Arkadij (Prof. Dr.), Politi, Antonio +1 more
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Stability Radii and Lyapunov Exponents

1990
In the state space approach to stability of uncertain systems the concept of stability radius plays a central role. In this paper we use the classical concept of Lyapunov exponents, which describe the exponential growth behavior, in order to define a variety of stability and instability radii for families of linear systems ẋ = [A + u(t)]x, u(t) ∈ U ρ ,
Colonius, Fritz, Kliemann, Wolfgang
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Lyapunov Exponents

2017
Juan C. Vallejo, Miguel A. F. Sanjuan
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Lyapunov Exponents