ANALYSIS OF CHAOTIC INSTABILITIES IN A ROTATING BODY WITH INTERNAL ENERGY DISSIPATION

DOI10.1142/S021812740601454XzbMath1136.70307OpenAlexW2068263110WikidataQ107176876 ScholiaQ107176876MaRDI QIDQ5484830

Samuel F. Asokanthan, Paul A. Meehan

Publication date: 21 August 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812740601454x

zbMATH Keywords

chaosbifurcationsspacecraftLyapunovMelnikov

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Dynamics of multibody systems (70E55)

Related Items (8)

Study on the global chaotic dynamics and control of liquid-filled spacecraft with flexible appendage ⋮ Chaotic attitude and reorientation maneuver for completely liquid-filled spacecraft with flexible appendage ⋮ Heteroclinic bifurcations in attitude maneuver of coupled slosh-spacecraft with flexible appendage ⋮ Attitude evolution of a dual-liquid-filled spacecraft with internal energy dissipation ⋮ Fractal perturbation of shaped functions: convergence independent of scaling ⋮ Chaos analysis in attitude dynamics of a flexible satellite ⋮ Speed gradient method and its applications ⋮ DESIGNING COMPLEX DYNAMICS IN CELLULAR AUTOMATA WITH MEMORY

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Determining Lyapunov exponents from a time series
• Control of chaotic motion in a spinning spacecraft with a circumferential nutational damper
• Chaotic motion in a spinning spacecraft with circumferential nutational damper
• Chaotic motion of a gyrostat with asymmetric rotor
• Control of chaotic instabilities in a spinning spacecraft with dissipation using Lyapunov's method.
• A mechanical system with a ‘‘wild’’ horseshoe
• Controlling chaos
• CHAOTIC ATTITUDE MOTION OF GYROSTAT SATELLITE VIA MELNIKOV METHOD
• Chaotic attitude oscillations of a satellite filled with a rotating ellipsoidal mass of liquid subject to gravity-gradient torques

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