New insights into a chaotic system with only a Lyapunov stable equilibrium
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6619
Abstract: This paper gives some new insights into a chaotic system. The considered system has only one Lyapunov stable equilibrium and positive Lyapunov exponent in some certain parameter range, which means there coexists chaotic attractors and… read more here.
Keywords: chaotic system; system; stable equilibrium; new insights ... See more keywords
Lyapunov Stable Teleoperation Controllers Using Passivity Analysis
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.06.073
Abstract: Abstract Teleoperated robots are helpful in handling distant objects, and is being increasingly relied upon in nuclear centers, space travel, etc. Control of teleoperated systems are plagued by the trade-off between its two objectives, namely… read more here.
Keywords: lyapunov stable; stable teleoperation; passivity analysis; teleoperation ... See more keywords
Jacobi Stability of Simple Chaotic Systems with One Lyapunov Stable Equilibrium
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Computational and Nonlinear Dynamics"
DOI: 10.1115/1.4050954
Abstract: This paper presents Jacobi stability analysis of 23 simple chaotic systems with only one Lyapunov stable equilibrium by Kosambi-Cartan-Chern (KCC) theory, and analyzes the chaotic behavior of these systems from the geometric viewpoint. Different from… read more here.
Keywords: lyapunov; lyapunov stable; equilibrium; stability ... See more keywords
Lyapunov stable homoclinic classes for smooth vector fields
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DOI: 10.1515/math-2019-0068
Abstract: Abstract In this paper, we show that for generic C1, if a flow Xt has the shadowing property on a bi-Lyapunov stable homoclinic class, then it does not contain any singularity and it is hyperbolic. read more here.
Keywords: lyapunov stable; stable homoclinic; classes smooth; homoclinic classes ... See more keywords
A Lyapunov-Stable Adaptive Method to Approximate Sensorimotor Models for Sensor-Based Control
Sign Up to like & getrecommendations! Published in 2020 at "Frontiers in Neurorobotics"
DOI: 10.3389/fnbot.2020.00059
Abstract: In this article, we present a new scheme that approximates unknown sensorimotor models of robots by using feedback signals only. The formulation of the uncalibrated sensor-based regulation problem is first formulated, then, we develop a… read more here.
Keywords: lyapunov stable; sensor based; sensorimotor models; method ... See more keywords