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Ordinary Differential Equations and Applied Dynamics Commons™
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- Artificial satellites--Atmospheric entry--Mathematical models (1)
- Differential equations (1)
- Differential equations--Data processing (1)
- Elastic one-dimensional continua (1)
- HIV (1)
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- Hanging chain (1)
- Human immunodeficiency virus (1)
- Integrals of Motion (1)
- Jump rope (1)
- Lax Pair (1)
- Manakov top (1)
- Mathematical modeling (1)
- Nahm equation (1)
- Namics (1)
- Optimal control (1)
- Partial differential equations (1)
- Space vehicles (1)
- T cells (1)
- Treatment-resistant mutations (1)
- Wave equation (1)
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Articles 1 - 4 of 4
Full-Text Articles in Ordinary Differential Equations and Applied Dynamics
Strings, Chains, And Ropes, Darryl H. Yong
Strings, Chains, And Ropes, Darryl H. Yong
All HMC Faculty Publications and Research
Following Antman [Amer. Math. Mon., 87 (1980), pp. 359–370], we advocate a more physically realistic and systematic derivation of the wave equation suitable for a typical undergraduate course in partial differential equations. To demonstrate the utility of this derivation, three applications that follow naturally are described: strings, hanging chains, and jump ropes.
Development And Validation Of Reentry Simulation Using Matlab, Robert E. Jameson Jr.
Development And Validation Of Reentry Simulation Using Matlab, Robert E. Jameson Jr.
Theses and Dissertations
This research effort develops a program using MATLAB to solve the equations of motion for atmospheric reentry and analyzes the validity of the program for use as a tool to expeditiously predict reentry profiles. The reentry vehicle is modeled as a point mass with constant aerodynamic properties as defined by the user. The equations of motion for reentry are based on the two-body problem. The atmosphere is modeled as a single layer exponentially decreasing in density. The MATLAB program has the ability to derive the initial trajectory conditions from the position and velocity relative to the rotating surface of the …
Optimal Therapy Regimens For Treatment-Resistant Mutations Of Hiv, Weiqing Gu, Helen Moore
Optimal Therapy Regimens For Treatment-Resistant Mutations Of Hiv, Weiqing Gu, Helen Moore
All HMC Faculty Publications and Research
In this paper, we use control theory to determine optimal treatment regimens for HIV patients, taking into account treatment-resistant mutations of the virus. We perform optimal control analysis on a model developed previously for the dynamics of HIV with strains of various resistance to treatment (Moore and Gu, 2005). This model incorporates three types of resistance to treatments: strains that are not responsive to protease inhibitors, strains not responsive to reverse transcriptase inhibitors, and strains not responsive to either of these treatments. We solve for the optimal treatment regimens analytically and numerically. We find parameter regimes for which optimal dosing …
Hamiltonian Formulation And Integrability Of A Complex Symmetric Nonlinear System, Rossen Ivanov
Hamiltonian Formulation And Integrability Of A Complex Symmetric Nonlinear System, Rossen Ivanov
Articles
The integrability of a complex generalisation of the ’elegant’ system, proposed by D. Fairlie and its relation to the Nahm equation and the Manakov top is discussed.