DOI10.1512/iumj.1983.32.32023zbMath0488.70006OpenAlexW4254348332MaRDI QIDQ3950014
Jerrold E. Marsden, Philip J. Holmes
Publication date: 1983
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1512/iumj.1983.32.32023
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chaotic motions near homoclinic manifolds and resonant tori in quasiperiodic perturbations of planar Hamiltonian systems,
Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems,
Resonance bands in a two degree of freedom Hamiltonian system,
Temporal and spatial chaos in a van der Waals fluid due to periodic thermal fluctuations,
A criterion for non-integrability based on Poincaré's theorem,
Spatio-temporal chaos in closed and open systems,
CHAOTIC PITCH MOTION OF A MAGNETIC SPACECRAFT WITH VISCOUS DRAG IN AN ELLIPTICAL POLAR ORBIT,
Generic bifurcation of Hamiltonian systems with symmetry. With an appendix by Jerrold Marsden,
Attitude dynamics of a spacecraft with variable structure at presence of harmonic perturbations,
Strong NLS soliton-defect interactions,
Gyroscopic analog for collective motion of a stratified fluid,
Nonlinear stability of fluid and plasma equilibria,
Chaotic attitude analysis of a satellite via Lyapunov exponents and its robust nonlinear control subject to disturbances and uncertainties,
Spatially complex equilibria of buckled rods,
Chaotic motions in a weakly nonlinear model for surface waves,
Euler-Poisson equations and existence of quasi-periodic motions of heavy tops,
The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates,
Chaotic dynamics of an unbalanced gyrostat,
Chaos and its control in the pitch motion of an asymmetric magnetic spacecraft in polar elliptic orbit,
Heteroclinic chaos detecting in dissipative mechanical systems: chaotic regimes of compound nanosatellites dynamics,
Evolution of a heavy rigid body rotation under the action of unsteady restoring and perturbation torques,
Chaos in a soda can: non-periodic rocking of upright cylinders with sensitive dependence on initial conditions,
Attitude evolution of a dual-liquid-filled spacecraft with internal energy dissipation,
Heteroclinic chaos and its local suppression in attitude dynamics of an asymmetrical dual-spin spacecraft and gyrostat-satellites. I: Main models and solutions,
Heteroclinic chaos and its local suppression in attitude dynamics of an asymmetrical dual-spin spacecraft and gyrostat-satellites. II: The heteroclinic chaos investigation,
Bifurcation of relative equilibria in mechanical systems with symmetry,
Heteroclinic dynamics and attitude motion chaotization of coaxial bodies and dual-spin spacecraft,
The chaotic instability of a slowly spinning asymmetric top.,
Chaos as the hub of systems dynamics. I: The attitude control of spacecraft by involving in the heteroclinic chaos,
Hamiltonian and chaotic attitude dynamics of an orbiting gyrostat satellite under gravity-gradient torques,
Melnikov method and detection of chaos for non-smooth systems,
Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom,
Classification and Casimir invariants of Lie-Poisson brackets,
Chaotic Hamiltonian dynamics of particle's horizontal motion in the atmosphere.,
A Mel'nikov vector for \(N\)-dimensional mappings,
Horseshoes for the nearly symmetric heavy top,
Chaotic attitude oscillations of a satellite filled with a rotating ellipsoidal mass of liquid subject to gravity-gradient torques,
Heteroclinic transition motions in periodic perturbations of conservative systems with an application to forced rigid body dynamics,
Horseshoes for autonomous Hamiltonian systems using the Melnikov integral,
Reduction theory and the Lagrange–Routh equations,
Oscillatory motions in restricted \(N\)-body problems,
Nonlinear energy transfer between fluid sloshing and vessel motion,
Stabilization of rigid body dynamics by internal and external torques,
CHAOTIC ROTATIONS OF AN ASYMMETRIC BODY WITH TIME-DEPENDENT MOMENTS OF INERTIA AND VISCOUS DRAG,
The dynamics of coupled planar rigid bodies. Part I: reduction, equilibria and stability,
Hamiltonian chaos in nonlinear optical polarization dynamics,
Lie-Poisson structures, dual-spin spacecraft and asymptotic stability,
Unnamed Item,
The twisted top,
A mechanical system with a ‘‘wild’’ horseshoe,
Parabolic resonances and instabilities,
Spin Rotor Stabilization of a Dual-Spin Spacecraft with Time Dependent Moments of Inertia,
Nonlinear Oscillations of a Suspended Gyrostat,
Global bifurcation and chaos in parametrically forced systems with one-one resonance,
Dynamics of the Kirchhoff equations. I: Coincident centers of gravity and buoyancy,
Collective heavy top dynamics,
Homoclinic solutions and motion chaotization in attitude dynamics of a multi-spin spacecraft,
CHAOS IN THE REORIENTATION PROCESS OF A DUAL-SPIN SPACECRAFT WITH TIME-DEPENDENT MOMENTS OF INERTIA,
CHAOTIC ATTITUDE MOTION OF GYROSTAT SATELLITE VIA MELNIKOV METHOD,
The Euler-Poincaré equations and semidirect products with applications to continuum theories,
ANALYSIS OF CHAOTIC INSTABILITIES IN A ROTATING BODY WITH INTERNAL ENERGY DISSIPATION,
Localization problems in engineering,
Silnikov's orbit in coupled Duffing's systems,
Modeling of a chaotic gyrostat system and mechanism analysis of dynamics using force and energy,
Clebsch canonization of Lie-Poisson systems,
On the universal phase spaces for homogeneous principal bundles,
Collective geodesic flows.,
A short proof of chaos in an atmospheric system,
Control of chaotic instabilities in a spinning spacecraft with dissipation using Lyapunov's method.,
Semidirect Products and Reduction in Mechanics,
On Melnikov's method in the study of chaotic motions of gyrostat