Results 41 to 50 of about 31,539 (227)
Quantifying chaos: a tale of two maps [PDF]
, 2011 In many applications, there is a desire to determine if the dynamics of interest are chaotic or not. Since positive Lyapunov exponents are a signature for chaos, they are often used to determine this.
Bruijn +13 more
core +2 more sources
On the interaction of a system with multifrequency oscillations with a chaotic generator [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of the work: to study the influence of the dynamics of a chaotic system on a system with multi-frequency quasi-periodicity and the Landau-Hopf scenario.
Kuznetsov, Aleksandr Petrovich +1 more
doaj +1 more source
Exact Lyapunov exponents of the generalized Boole transformations
, 2016 The generalized Boole transformations have rich behavior ranging from the \textit{mixing} phase with the Cauchy invariant measure to the \textit{dissipative} phase through the \textit{infinite ergodic} phase with the Lebesgue measure.
Okubo, Ken-ichi, Umeno, Ken
core +1 more source
Strong fast invertibility and Lyapunov exponents for linear systems
Electronic Journal of Qualitative Theory of Differential EquationsWith the goal of deriving the existence of a dominated splitting, Quas, Thieullen and Zarrabi introduced the concept of strong fast invertibility for linear cocycles in 2019.
Florian Noethen
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A Perron-type theorem for nonautonomous difference equations with nonuniform behavior
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We show that if the Lyapunov exponents of a linear difference equation are limits, then the same happens with the Lyapunov exponents of the solutions of the nonlinear equations for any sufficiently small nonlinear perturbation.
Hailong Zhu, Can Zhang, Yongxin Jiang
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AI‐Enhanced Vibrational Capsule for Minimally Invasive Detection of Abnormal Bowel Tissue
Advanced Science, EarlyView.A fully integrated vibration‐assisted capsule is presented for the minimally invasive detection of bowel lesions. The capsule incorporates a wireless sensor and an eccentric motor to probe tissue mechanics in situ. By coupling triaxial vibration signals with AI‐based classification and analytical modeling, the system enables early, non‐visual ...
Xizheng Fang +6 more
wiley +1 more source
Advanced Intelligent Systems, EarlyView.The approach of physical in materia computing incorporates parallel computing within the medium itself. A scalable and energy‐efficient, oxide‐based computational platform is realized in form of a nanoporous network of volatile niobium oxide memristors sandwiched between top and bottom metallic electrodes, and then tested for prediction and ...
Joshua Donald +7 more
wiley +1 more source
Lyapunov exponents and phase transition of Hayward AdS black hole
European Physical Journal C: Particles and FieldsIn this paper, we study the relationship between the phase transition and Lyapunov exponents for 4D Hayward anti-de Sitter (AdS) black hole. We consider the motion of massless and massive particles around an unstable circular orbit of the Hayward AdS ...
Naba Jyoti Gogoi +2 more
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Electronic Journal of Qualitative Theory of Differential EquationsThis paper addresses the Lyapunov exponents of non-vanishing solutions to quasi-linear time-varying systems of differential equations. The linear part is not required to be regular but it is assumed to be integrally separated, which ensures that the ...
Vu Hoang Linh, Ngo Nga
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Out-of-time-order correlators and Lyapunov exponents in sparse SYK
Journal of High Energy Physics, 2023 We use a combination of analytical and numerical methods to study out-of-time order correlators (OTOCs) in the sparse Sachdev-Ye-Kitaev (SYK) model. We find that at a given order of N, the standard result for the q-local, all-to-all SYK, obtained through
Elena Cáceres +3 more
doaj +1 more source