Delayed feedback control and phase reduction of unstable quasi-periodic orbits
Author:
Affiliation:
1. Graduate School of Informatics, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto 606-8501, Japan
2. Center for Fundamental Education, Teikyo University of Science, 2525 Yatsusawa, Uenohara-shi, Yamanashi 409-0193, Japan
Funder
FIRST, Aihara Innovative Mathematical Modelling Project
Publisher
AIP Publishing
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Link
http://aip.scitation.org/doi/pdf/10.1063/1.4896219
Reference18 articles.
1. Continuous control of chaos by self-controlling feedback
2. Phase-reduction-theory-based treatment of extended delayed feedback control algorithm in the presence of a small time delay mismatch
3. Survey on dissipative KAM theory including quasi-periodic bifurcation theory (H. Broer)
4. On the numerical approximation of the rotation number
5. A simple proof of Denjoy's theorem
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1. A Sampled-Data Approach to Pyragas-Type Delayed Feedback Stabilization of Periodic Orbits;IEEE Transactions on Automatic Control;2019-09
2. Complex Dynamics in a Two-cell DC/DC Buck Converter using a Dynamic Feedback Controller;Power Electrical Systems;2018-07-23
3. Stabilizing unstable periodic orbits with delayed feedback control in act-and-wait fashion;Systems & Control Letters;2018-03
4. Statistical test of quasiperiodicity in the presence of dynamical noise;Nonlinear Theory and Its Applications, IEICE;2018
5. Experimental verification of quasi-periodic-orbit stabilization using a switched-capacitor chaotic neural network circuit;Nonlinear Theory and Its Applications, IEICE;2018
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