Chaotic motion of comets in near-parabolic orbit: Mapping approaches

1994 ◽  
Vol 60 (1) ◽  
pp. 3-28 ◽  
Author(s):  
Jie Liu ◽  
Yi-Sui Sun
Keyword(s):  
Chaotic Motion ◽  
Parabolic Orbit

Quantum Computing and the Onset of Quantum Chaotic Motion

2002 ◽  
Author(s):  
Giulio Casati ◽  
Carlo Beenakker ◽  
Tomaz Prozen ◽  
Philippe Jacquod ◽  
Giuliano Benenti
Keyword(s):  
Quantum Computing ◽  
Chaotic Motion

New results on the possible chaotic motion of Enceladus

1987 ◽  
Vol 43 (1-4) ◽  
pp. 361-369 ◽  
Author(s):  
M. Karch ◽  
R. Dvorak
Keyword(s):  
Chaotic Motion

A Simple Model for the Chaotic Motion Around (433) Eros

2003 ◽  
Vol 51 (4) ◽  
pp. 391-404 ◽  
Author(s):  
Antonio Elipe ◽  
Martín Lara
Keyword(s):  
Simple Model ◽  
Chaotic Motion

scholarly journals Accurate predictions of chaotic motion of a free fall disk

2021 ◽  
Vol 33 (3) ◽  
pp. 037111
Author(s):  
Tianzhuang Xu ◽  
Jing Li ◽  
Zhihui Li ◽  
Shijun Liao
Keyword(s):  
Chaotic Motion ◽  
Free Fall

Multi-Stable Magnetic Spring-Based Energy Harvester Subject to Harmonic Excitation: Comparative Study and Experimental Evaluation

2018 ◽  
Author(s):  
Hieu Nguyen ◽  
Hamzeh Bardaweel
Keyword(s):  
Energy Harvesting ◽  
Kinetic Energy ◽  
Comparative Study ◽  
Experimental Evaluation ◽  
Chaotic Motion ◽  
Energy Harvester ◽  
Electric Energy ◽  
Harmonic Excitation ◽  
Jump Frequency ◽  
Piezoelectric Elements

The work presented here investigates a unique design platform for multi-stable energy harvesting using only interaction between magnets. A solid cylindrical magnet is levitated between two stationary magnets. Peripheral magnets are positioned around the casing of the energy harvester to create multiple stable positions. Upon external vibration, kinetic energy is converted into electric energy that is extracted using a coil wrapped around the casing of the harvester. A prototype of the multi-stable energy harvester is fabricated. Monostable and bistable configurations are demonstrated and fully characterized in static and dynamic modes. Compared to traditional multi-stable designs the harvester introduced in this work is compact, occupies less volume, and does not require complex circuitry normally needed for multi-stable harvesters involving piezoelectric elements. At 2.5g [m/s2], results from experiment show that the bistable harvester does not outperform the monostable harvester. At this level of acceleration, the bistable harvester exhibits intrawell motion away from jump frequency. Chaotic motion is observed in the bistable harvester when excited close to jump frequency. Interwell motion that yields high displacement amplitudes and velocities is absent at this acceleration.

Chaotic motion of magnetotactic bacteria

2000 ◽  
Vol 11 (6) ◽  
pp. 923-928 ◽  
Author(s):  
P.H.A. Aragão ◽  
M. Simões
Keyword(s):  
Chaotic Motion ◽  
Magnetotactic Bacteria

Chaotic Response of a Hard Duffing Type Vibration Isolator With Combined Coulomb and Viscous Damping

1995 ◽  
Author(s):  
A. Y. T. Leung ◽  
B. Ravindra ◽  
A. K. Mallik ◽  
C. W. Chan
Keyword(s):  
Chaotic Motion ◽  
Viscous Damping ◽  
Vibration Isolator ◽  
Bifurcation Structure ◽  
Restoring Force ◽  
Coulomb Damping ◽  
Secondary Resonances ◽  
Excited System ◽  
Subharmonic Resonances

Abstract Numerical simulations of the response of a harmonically excited mass on an isolator with a cubic, hard, non-linear restoring force and combined Coulomb and viscous damping are presented. For a base-excited system, the inclusion of a Coulomb damper with a suitable break-loose frequency can suppress the secondary resonances and chaotic motion. However, for a force-excited system, the introduction of Coulomb damping does not alter the bifurcation structure. Transmissibility indices have been defined for the solution obtained by numerical integration and the role of the subharmonic resonances and chaotic motion on the performance of the system is pointed out.

Chaotic motion control of a vibro-impact system based on data-driven control method

2021 ◽  
pp. 107754632110433
Author(s):  
Xiao-juan Wei ◽  
Ning-zhou Li ◽  
Wang-cai Ding
Keyword(s):  
Motion Control ◽  
Data Model ◽  
Chaotic Motion ◽  
Control Method ◽  
Data Driven ◽  
Damping Coefficient ◽  
Input Output ◽  
Output Data ◽  
Controlled System ◽  
Impact System

For the chaotic motion control of a vibro-impact system with clearance, the parameter feedback chaos control strategy based on the data-driven control method is presented in this article. The pseudo-partial-derivative is estimated on-line by using the input/output data of the controlled system so that the compact form dynamic linearization (CFDL) data model of the controlled system can be established. And then, the chaos controller is designed based on the CFDL data model of the controlled system. And the distance between two adjacent points on the Poincaré section is used as the judgment basis to guide the controller to output a small perturbation to adjust the damping coefficient of the controlled system, so the chaotic motion can be controlled to a periodic motion by dynamically and slightly adjusting the damping coefficient of the controlled system. In this method, the design of the controller is independent of the order of the controlled system and the structure of the mathematical model. Only the input/output data of the controlled system can be used to complete the design of the controller. In the simulation experiment, the effectiveness and feasibility of the proposed control method in this article are verified by simulation results.

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