Approximating Lyapunov Exponents and Stationary Measures
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-018-9724-5
Abstract: We give a new proof of E. Le Page’s theorem on the Hölder continuity of the first Lyapunov exponent in the class of irreducible Bernoulli cocycles. This suggests an algorithm to approximate the first Lyapunov… read more here.
Keywords: approximating lyapunov; lyapunov exponents; stationary measures; exponents stationary ... See more keywords
Ergodic Measures with Multi-zero Lyapunov Exponents Inside Homoclinic Classes
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-019-09752-3
Abstract: In this paper, we prove that for $$C^1$$ C 1 -generic diffeomorphisms, if a homoclinic class contains periodic orbits of indices i and j with $$j>i+1$$ j > i + 1 , and the homoclinic… read more here.
Keywords: ergodic measures; homoclinic class; multi zero; measures multi ... See more keywords
Estimating largest Lyapunov exponents in aeroelastic signals
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-021-00833-0
Abstract: The characterization of experimental signals from nonlinear systems is of fundamental importance for the development of precise mathematical models. Aeroelastic systems are intrinsically nonlinear, leading to unpredictable and sometimes uncontrollable situations. Experimental signal analysis still… read more here.
Keywords: estimating largest; lyapunov exponents; aeroelastic signals; lyapunov exponent ... See more keywords
Tranquilizer effect on the Lyapunov exponents of lame horses
Sign Up to like & getrecommendations! Published in 2020 at "Heliyon"
DOI: 10.1016/j.heliyon.2020.e03726
Abstract: Tranquilization of horses with acepromazine has been used to suppress erratic head movements and increase the accuracy of a lameness examination. Some equine clinicians believe that tranquilization with acepromazine will make lameness more evident by… read more here.
Keywords: exponents lame; effect; acepromazine; lame horses ... See more keywords
Lyapunov exponents with Model Predictive Control for exothermic batch reactors
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.09.337
Abstract: Abstract Thermal runaways cause significant safety issues and financial loss for industrial batch reactors due to the disruption of normal operation. The intensification of processes is restricted, since control systems are not capable of detecting… read more here.
Keywords: model predictive; batch reactors; control; predictive control ... See more keywords
Local Lyapunov exponents of deep echo state networks
Sign Up to like & getrecommendations! Published in 2018 at "Neurocomputing"
DOI: 10.1016/j.neucom.2017.11.073
Abstract: Abstract The analysis of deep Recurrent Neural Network (RNN) models represents a research area of increasing interest. In this context, the recent introduction of Deep Echo State Networks (DeepESNs) within the Reservoir Computing paradigm, enabled… read more here.
Keywords: deep echo; local lyapunov; state networks; echo state ... See more keywords
The relation between quenched and annealed Lyapunov exponents in random potential on trees
Sign Up to like & getrecommendations! Published in 2018 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2017.08.020
Abstract: In the first part of the article our subject of interest is a simple symmetric random walk on the integers which faces a random risk to be killed. This risk is described by random potentials,… read more here.
Keywords: lyapunov; relation quenched; exponents random; quenched annealed ... See more keywords
Lyapunov exponents for expansive homeomorphisms
Sign Up to like & getrecommendations! Published in 2020 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091519000579
Abstract: Abstract We address the problem of defining Lyapunov exponents for an expansive homeomorphism f on a compact metric space (X, dist) using similar techniques as those developed in Barreira and Silva [Lyapunov exponents for continuous… read more here.
Keywords: topology; lyapunov exponents; expansive homeomorphisms; exponents expansive ... See more keywords
Lyapunov exponents for Hamiltonian systems under small Lévy-type perturbations.
Sign Up to like & getrecommendations! Published in 2021 at "Chaos"
DOI: 10.1063/5.0058716
Abstract: This work is to investigate the (top) Lyapunov exponent for a class of Hamiltonian systems under small non-Gaussian Lévy-type noise with bounded jumps. In a suitable moving frame, the linearization of such a system can… read more here.
Keywords: small type; type perturbations; systems small; exponents hamiltonian ... See more keywords
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0098163
Abstract: We study chaotic dynamics in a system of four differential equations describing the interaction of five identical phase oscillators coupled via biharmonic function. We show that this system exhibits strange spiral attractors (Shilnikov attractors) with… read more here.
Keywords: system; phase oscillators; attractors two; zero lyapunov ... See more keywords
A new method for constructing discrete hyperchaotic systems with a controllable range of Lyapunov exponents and its application in information security
Sign Up to like & getrecommendations! Published in 2023 at "Physica Scripta"
DOI: 10.1088/1402-4896/acd887
Abstract: Since people use chaos extensively for a wide range of applications in data encryption and secure communications, a new method for designing practical high-dimensional discrete hyperchaotic systems is proposed for the first time in this… read more here.
Keywords: range lyapunov; hyperchaotic systems; discrete hyperchaotic; lyapunov exponents ... See more keywords