An asymptotic method for quasi-integrable Hamiltonian system with multi-time-delayed feedback controls under combined Gaussian and Poisson white noises

2017 ◽  
Vol 90 (4) ◽  
pp. 2711-2727 ◽  
Author(s):  
Wantao Jia ◽  
Yong Xu ◽  
Zhonghua Liu ◽  
Weiqiu Zhu
Keyword(s):  
Hamiltonian System ◽  
Asymptotic Method ◽  
Integrable Hamiltonian System ◽  
Delayed Feedback ◽  
Feedback Controls ◽  
Quasi Integrable Hamiltonian System ◽  
Time Delayed Feedback ◽  
White Noises

On the Diffusion Along Resonant Lines in Continuous and Discrete Dynamical Systems

2003 ◽  
Vol 17 (22n24) ◽  
pp. 3964-3976
Author(s):  
Claude Froeschlé ◽  
Elena Lega
Keyword(s):  
Dynamical Systems ◽  
Hamiltonian System ◽  
Coupling Parameter ◽  
A Priori ◽  
Integrable Hamiltonian System ◽  
Discrete Dynamical Systems ◽  
Nekhoroshev Theorem ◽  
Symplectic Map ◽  
Quasi Integrable Hamiltonian System

We detect and measure diffusion along resonances in a discrete symplectic map for different values of the coupling parameter. Qualitatively and quantitatively the results are very similar to those obtained for a quasi-integrable Hamiltonian system, i.e. in agreement with Nekhoroshev predictions, although the discrete mapping does not fulfill completely, a priori, the conditions of the Nekhoroshev theorem.

NOISY CHAOS IN A QUASI-INTEGRABLE HAMILTONIAN SYSTEM WITH TWO DOF UNDER HARMONIC AND BOUNDED NOISE EXCITATIONS

2012 ◽  
Vol 22 (05) ◽  
pp. 1250117 ◽  
Author(s):  
C. B. GAN ◽  
Y. H. WANG ◽  
S. X. YANG ◽  
H. LEI
Keyword(s):  
Hamiltonian System ◽  
Integrable Hamiltonian System ◽  
Melnikov Method ◽  
Threshold Region ◽  
Mean Square ◽  
Bounded Noise ◽  
Onset Of Chaos ◽  
Extended Approach ◽  
The Mean ◽  
Quasi Integrable Hamiltonian System

This paper presents an extended form of the high-dimensional Melnikov method for stochastically quasi-integrable Hamiltonian systems. A quasi-integrable Hamiltonian system with two degree-of-freedom (DOF) is employed to illustrate this extended approach, from which the stochastic Melnikov process is derived in detail when the harmonic and the bounded noise excitations are imposed on the system, and the mean-square criterion on the onset of chaos is then presented. It is shown that the threshold of the onset of chaos can be adjusted by changing the deterministic intensity of bounded noise, and one can find the range of the parameter related to the bandwidth of the bounded noise excitation where the chaotic motion can arise more readily by investigating the changes of the threshold region. Furthermore, some parameters are chosen to simulate the sample responses of the system according to the mean-square criterion from the extended stochastic Melnikov method, and the largest Lyapunov exponents are then calculated to identify these sample responses.

Giant Improvement of Time-Delayed Feedback Control by Spatio-Temporal Filtering

2002 ◽  
Vol 89 (7) ◽  
Author(s):  
Nilüfer Baba ◽  
Andreas Amann ◽  
Eckehard Schöll ◽  
Wolfram Just
Keyword(s):  
Feedback Control ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Temporal Filtering ◽  
Spatio Temporal ◽  
Time Delayed Feedback

scholarly journals Boosting energy-time entanglement using coherent time-delayed feedback

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Kisa Barkemeyer ◽  
Marcel Hohn ◽  
Stephan Reitzenstein ◽  
Alexander Carmele
Keyword(s):  
Delayed Feedback ◽  
Time Delayed Feedback

Effect of time-delayed feedback in a bistable system inferred by logic operation

2021 ◽  
Vol 148 ◽  
pp. 111043
Author(s):  
Rong Gui ◽  
Jiaxin Li ◽  
Yuangen Yao ◽  
Guanghui Cheng
Keyword(s):  
Delayed Feedback ◽  
Bistable System ◽  
Logic Operation ◽  
Time Delayed Feedback

scholarly journals Time-delayed feedback control of diffusion in random walkers

2017 ◽  
Vol 96 (1) ◽  
Author(s):  
Hiroyasu Ando ◽  
Kohta Takehara ◽  
Miki U. Kobayashi
Keyword(s):  
Feedback Control ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Random Walkers ◽  
Time Delayed Feedback
Sign in / Sign up

Export Citation Format

Share Document