The Hamiltonian Representation for the Evolution Equation
Hamiltonian Formulation for Water Wave Equation
... ABSTRACT This paper concerns the development and application of the Hamiltonian function which is the sum of kinetic energy and potential energy of the system. Two dimensional water wave equations for ...
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Time evolution of non-Hermitian Hamiltonian systems
... classical Hamiltonian, whereas even when one has identified such Hamiltonians, a proper analysis requires the construction of the similarity transformation η of the CP T -operator, which is usually not evident a ...
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Density representation of Long’s equation
... this equation. In the density formulation even if one linearizes the equation for the deviation η from the base state ...density representation of Long’s equation becomes either linear or ...
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Representation, evolution and embodiment
... that evolution exploits are sufficient in themselves to fix representational ...not evolution, but ...that evolution in fact exploits the (relatively) stable features and relations in the world in ...
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CiteSeerX — Langevin equation for slow degrees of freedom of Hamiltonian systems
... A second precursor is the line of investigation of the sequence of papers [O, Wi, BR, J], which depends on assuming ergodicity of the fast dynamics restricted to an energy level for frozen slow degrees of freedom, but I ...
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Instabilities Of Geometrodynamic Evolution In The Hamiltonian Formulation Of General Relativity
... equations along with two sets of constraints. First-order equations are manifestly eas- ier to deal with, and the constraint equations allow for specifying initial conditions, which leads to the boundary value problem. ...
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Shape Representation Using the Helmholtz Equation
... In Chapter IV, we extend it to consider Brownian motion that originates outside the shape. To prevent this Brownian motion from continuing infinitely, we introduce an exponential dying time for the particle. This dying ...
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Chemical equation representation as directed graph
... _____________________________________________________________________________________________ ABSTRACT One of the major issues in formalizing the dynamics of chemical reactions is that the graph representation of ...
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Helmholtz Equation in Transverse Circular Representation
... Helmholtz Equation in Transverse Circular Representation ˇ Stefan Viˇsˇ novsk´ y * Abstract —The use of transverse circular representation in circular cylinder coordinate system provides an ...
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The Continuing Evolution of Proxy Representation
... proxy representation Clearly both the proxy representation mechanism and regulation of it have progressed considerably over the last century and a ...proxy representation has been a success story for ...
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Hamiltonian Structure, Soliton Solution and Conservation Laws for a New Fifth Order Nonlinear Evolution Equation Which Describes Pseudo Spherical Surfaces
... the Hamiltonian structure can be defined for any nonlinear evolution equations which describe surfaces of a constant nega- tive curvature, so that the densities of conservation laws can be considered as ...
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Hamiltonian formulation of the problem of a single vortex evolution on a beta-plane
... vortex evolution on the ...generalized Hamiltonian form in case the vortex motion equations are supplemented with the equation of absolute vorticity ...
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Hamiltonian Representation of Higher Order Partial Differential Equations with Boundary Energy Flows
... implicit Hamiltonian representation using the dual structure derived from the multisymplectic instantaneous formalism, 2) Stokes variational differential derived from the integration by parts formula, and ...
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Evolution of a Rapidly Learned Representation for Speech
... By developing an appropriate architecture, time- constants and learning rules over many generations, the task of learning to represent speech sounds is made more rap[r] ...
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Designing automatically a representation for grammatical evolution
... such representation properties as redundancy, uniformity of redundancy, and ...evolved representation as the representation with best search effectiveness on a set of learning problems and assess its ...
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A representation of the configurations and evolution of metamorphic mechanisms
... matrix representation for characterizing the topology of one of these mechanisms in a single configuration using gen- eral information concerning links and ...matrix representation of an original ...
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Balitsky-JIMWLK evolution equation at NLO
... BK equation is a large N c limit of the first of the Balitsky hierarchy ...BK equation to the NLO evolution of any number of Wilson lines, we considered the triple interaction besides the self-energy ...
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Probability representation of kinetic equation for open quantum system
... 1 P.N. Lebedev Physical Institute, Leninskii Prospekt 53, Moscow 119991, Russia 2 Institute of Spectroscopy, Troitsk, 142092 Moscow reg., Russia Abstract The tomographic probability distribution is used to decribe the ...
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The coupling integrable couplings of the generalized coupled Burgers equation hierarchy and its Hamiltonian structure
... Burgers equation hierarchy are obtained. Finally, we obtain the Hamiltonian structure of one of the coupling integrable couplings of the generalized coupled Burgers equation hierarchy by using the ...
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Boundary value problem for one evolution equation
... (Received 22 July 2016; accepted 14 February 2017) The aim of the paper is to investigate the boundary value problem of the evolution equation Lu = K (x, t) u t − ∆u + a (x, t) u = f (x, t) . The ...
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