Results 11 to 20 of about 115,141 (223)
Recurrence and lyapunov exponents [PDF]
Moscow Mathematical Journal, 2003 We prove two inequalities between the Lyapunov exponents of a diffeomorphism and its local recurrence properties.
Saussol, B. +2 more
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Removing zero Lyapunov exponents [PDF]
Ergodic Theory and Dynamical Systems, 2003 In an explicit family of partially hyperbolic diffeomorphisms of the torus T 3, Shub andWilkinson recently succeeded in perturbing the Lyapunov exponents of the center direction.
Bonatti, C. +1 more
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, 1991 Since the predecessor to this volume (LNM 1186, Eds. L. Arnold, V. Wihstutz)appeared in 1986, significant progress has been made in the theory and applications of Lyapunov exponents - one of the key concepts of dynamical systems - and in particular ...
Arnold, Ludwig +2 more
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The Detection and Quantification of Chaos in Supply Chains.
, 1999 In recent years it has become accepted that Logistics and Supply Chain systems are susceptible to uncertainty by the generation of deterministic chaos [Wilding, 1998a; Levy, 1994; Mosekilde & Larsen, 1988].
Wilding, Richard D.
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Rigorous bounds on Lyapunov exponents of linked twist maps [PDF]
, 2023 Rigorous, elementary upper and lower bounds upon the Lyapunov exponents of a parametrised family of linked twist maps are given, and obtained explicitly for a specific range of parameter values. The method used to obtain the bounds utilises the existence
Sturman, R, Niesen, J, Wright, P
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Error analysis of QR algorithms for computing Lyapunov exponents [PDF]
, 2001 Lyapunov exponents give valuable information about long term dynamics. The discrete and continuous QR algorithms are widely used numerical techniques for computing approximate Lyapunov exponents, although they are not yet supported by a general error ...
McDonald, E.J., Higham, D.J.
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, 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.
Pikovskij, Arkadij (Prof. Dr.) +1 more
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Lyapunov exponents for temporal networks
Physical Review E, 2023 By interpreting a temporal network as a trajectory of a latent graph dynamical system, we introduce the concept of dynamical instability of a temporal network, and construct a measure to estimate the network Maximum Lyapunov Exponent (nMLE) of a temporal network trajectory.
Annalisa Caligiuri +4 more
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Maximal Lyapunov exponent at crises [PDF]
Physical Review E, 1996 We study the variation of Lyapunov exponents of simple dynamical systems near attractor-widening and attractor-merging crises. The largest Lyapunov exponent has universal behaviour, showing abrupt variation as a function of the control parameter as the system passes through the crisis point, either in the value itself, in the case of the attractor ...
Mehra, Vishal, Ramaswamy, Ramakrishna
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Lyapunov Exponents Everywhere and Rigidity [PDF]
Journal of Dynamical and Control Systems, 2021 In the present work we obtain rigidity results analysing the set of regular points, in the sense of Oseledec's Theorem. It is presented a study on the possibility of an Anosov diffeomorphisms having all Lyapunov exponents defined everywhere. We prove that this condition implies local rigidity of an Anosov automorphism of the torus $\mathbb{T}^d, d \geq
Pereira Micena, Fernando +1 more
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