Results 171 to 180 of about 4,465 (210)

LYAPUNOV EXPONENTS ON METRIC SPACES

Bulletin of the Australian Mathematical Society, 2017
We use the pointwise Lipschitz constant to define an upper Lyapunov exponent for maps on metric spaces different to that given by Kifer [‘Characteristic exponents of dynamical systems in metric spaces’, Ergodic Theory Dynam. Systems3(1) (1983), 119–127].
C. A. MORALES, P. THIEULLEN, H. VILLAVICENCIO   +2 more
openaire   +2 more sources

Lyapunov exponents in unstable systems

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
openaire   +1 more source

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

1998
Helena E. Nusse, James A. Yorke, Brian R. Hunt, Eric J. Kostelich   +3 more
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Strict Lyapunov Functions for the Super-Twisting Algorithm

IEEE Transactions on Automatic Control, 2012
Jaime A Moreno, Marisol Osorio
exaly  

Lyapunov Exponent

2018
openaire   +1 more source

Design and Analysis of FTZNN Applied to the Real-Time Solution of a Nonstationary Lyapunov Equation and Tracking Control of a Wheeled Mobile Manipulator

IEEE Transactions on Industrial Informatics, 2018
Lin Xiao, Bolin Liao, Suibing Li
exaly  

Wirtinger’s inequality and Lyapunov-based sampled-data stabilization

Automatica, 2012
Kun Liu, Emilia Fridman
exaly