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Dynamics of a cross beam with a straight crack in a mining linear vibrating screen. [PDF]
HeliyonXiao L, Yan F, Lu H.
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Dynamic response of sandwich functionally graded nanoplate under thermal environments and elastic foundations using dynamic stiffness method. [PDF]
Sci RepRai S, Gupta A.
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Hamilton-Dirac Theory of Hamilton's Equations
Journal of Mathematical Physics, 1969It is shown that in a very general way two distinct canonical formalisms can be used to describe a classical system. No corresponding nonuniqueness is introduced into the canonical quantization procedure if the Dirac bracket correspondence to the quantum-mechanical commutators is employed.
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Hamilton–Jacobi–Bellman Equations
2017In this chapter we present recent developments in the theory of Hamilton–Jacobi–Bellman (HJB) equations as well as applications. The intention of this chapter is to exhibit novel methods and techniques introduced few years ago in order to solve long-standing questions in nonlinear optimal control theory of Ordinary Differential Equations (ODEs).
Festa, Adriano +6 more
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2001
We already know that canonical transformations are useful for solving mechanical problems. We now want to look for a canonical transformation that transforms the 2N coordinates (q i , p i ) to 2N constant values (Q i , P i ), e.g., to the 2N initial values \((q_{i}^{0},p_{i}^{0})\) at time t = 0.
Walter Dittrich, Martin Reuter
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We already know that canonical transformations are useful for solving mechanical problems. We now want to look for a canonical transformation that transforms the 2N coordinates (q i , p i ) to 2N constant values (Q i , P i ), e.g., to the 2N initial values \((q_{i}^{0},p_{i}^{0})\) at time t = 0.
Walter Dittrich, Martin Reuter
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2002
The variables of the Lagrangian are the generalized coordinates and the accompanying generalized velocities. In Hamilton’s theory, the generalized coordinates and the corresponding momenta are used as independent variables. In this theory the position coordinates and the “momentum coordinates” are treated on an equal basis.
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The variables of the Lagrangian are the generalized coordinates and the accompanying generalized velocities. In Hamilton’s theory, the generalized coordinates and the corresponding momenta are used as independent variables. In this theory the position coordinates and the “momentum coordinates” are treated on an equal basis.
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Relaxation of Hamilton-Jacobi Equations
Archive for Rational Mechanics and Analysis, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hitoshi Ishii, LORETI, Paola
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Stochastic Hamilton–Jacobi–Bellman Equations
SIAM Journal on Control and Optimization, 1992Summary: This paper studies the following form of nonlinear stochastic partial differential equation: \[ \begin{multlined} -d\Phi_ t=\inf_{v\in U}\left\{\frac12 \sum_{i,j}[\sigma\sigma^*]_{ij}(x,v,t)\partial_{x_ ix_ j}\Phi_ t(x)+\sum_ i b_ i(x,v,t)\partial_{x_ i}\Phi_ t(x)+L(x,v,t)+\right. \\ \left.+\sum_{i,j}\sigma_{ij}(x,v,t)\partial _{x_ i}\Psi_{j,t}
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