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Showing 1 to 9 of 9 for “"Hamiltonian Equations"”.
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Nonlinear Solutions to a Two-Layer Quasi-Geostrophic Model of the Gulf Stream
… by transforming the system into a set of Hamiltonian equations.</p> <p>A computed meander represents either an eastward or a westward propagating wave with an amplitude vacillation. Effects of severe truncation appear to be significant in some cases. Judging from the solution of the …
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Integrability, localisation and bifurcation of an elastic conducting rod in a uniform magnetic field
… from dynamical systems theory. The Kirchhoff equations, which describe the static equilibrium equations of a geometrically exact rod under end tension and moment are extended by incorporating the evolution of a fixed external vector (in the direction of the magnetic field) that interacts with …
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Chaotic diffusion in nonlinear Hamiltonian systems
This work investigates diffusion in nonlinear Hamiltonian systems. The diffusion, more precisely subdiffusion, in such systems is induced by the intrinsic chaotic behavior of trajectories and thus is called chaotic diffusion''. Its properties are studied on the example of one- or two-dimensional …
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Solar radiation pressure, drag and gravitational effects on a dust particle in Earth orbit
… here will expand on that work, but will use Hamiltonian equations of motion instead of Gauss’ equations. This approach easily incorporates forces such as drag, SRP and J2 perturbations. Solar radiation pressure is switched off while the particle passes through the Earth's shadow. The model is …
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The contact property for magnetic flows on surfaces
… M . Such dynamical systems are described by the Hamiltonian equations of a function E on the tangent bundle TM endowed with a symplectic form ω_σ, where E is the kinetic energy. Our main goal is to prove existence results for a) periodic orbits, and b) Poincare sections for motions on a fixed …
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On variational principles for dissipative networks and systems
Dynamical equations for dissipative systems are in general not derivable from a Lagrangian, but variational principles can nevertheless be formulated using auxiliary variables or a multiplying factor. Both methods are examined, generalized, and applied to some dissipative systems. Composite …
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Stability bounds for nonlinear dispersive Hamiltonian partial differential equations
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-03-01 without embargo terms
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CONFIGURATIONAL FORCES IN STRUCTURAL AND CONTINUUM OPTIMISATION
… spatial and material continuum mechanic Equations will be developed in hyperelastic, hyperelastodynamic and hyperelastoplastic settings. A summary of the four main parts is as follows. The first part begins with structural optimisation in hyperelastic setting. After introducing the …