Oscillating systems with cointegrated phase processes
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-017-1100-2
Abstract: We present cointegration analysis as a method to infer the network structure of a linearly phase coupled oscillating system. By defining a class of oscillating systems with interacting phases, we derive a data generating process… read more here.
Keywords: cointegration analysis; network; structure; oscillating systems ... See more keywords
Rapidly Oscillating Systems on the Plane: Weak Resonances and Asymptotic Control
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.1631
Abstract: Abstract Rapidly Oscillating Systems (ROS) is a class of perturbed dynamical systems with a small parameter that contains oscillating part with the period proportional to the parameter. These include a lot of classical perturbed systems… read more here.
Keywords: asymptotic control; rapidly oscillating; non classical; classical ros ... See more keywords
Two-Parameter 0-1 Test for Chaos and Sample Entropy Bifurcation Diagrams for Nonlinear Oscillating Systems
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DOI: 10.1109/access.2021.3055715
Abstract: This paper presents and compares two-parameter bifurcation diagrams obtained from the 0-1 test for chaos and sample entropy methods for nonlinear oscillating systems. Based on the computed diagrams it is often possible to establish a… read more here.
Keywords: test chaos; bifurcation diagrams; chaos sample; chaos ... See more keywords
Unstable Oscillating Systems with Hysteresis: Problems of Stabilization and Control
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Computer and Systems Sciences International"
DOI: 10.1134/s1064230720030090
Abstract: The work is devoted to studying the dynamics of unstable oscillating systems (in the form of an inverted pendulum) controlled by the action of a hysteretic type. The results for different types of motion of… read more here.
Keywords: motion; unstable oscillating; stabilization; control ... See more keywords