scholarly journals Contact Hamiltonian Description of Systems with Exponentially Decreasing Force and Friction that is Quadratic in Velocity

Author(s):  
Furkan Semih DÜNDAR
1996 ◽  
Vol 223 (1-2) ◽  
pp. 96-104
Author(s):  
A.A. Kurkin ◽  
Yu.A. Stepanyants

1992 ◽  
Vol 07 (22) ◽  
pp. 5549-5561 ◽  
Author(s):  
KH. S. NIROV ◽  
P.N. PYATOV ◽  
A.V. RAZUMOV

For a wide class of gauge-invariant systems with open gauge algebras the Hamiltonian description is constructed and the Poisson brackets of the constraints are calculated. It is shown that in the case under consideration there arise only first class constraints.


2009 ◽  
Vol 39 (3) ◽  
pp. 256-272 ◽  
Author(s):  
A. Orefice ◽  
R. Giovanelli ◽  
D. Ditto

2018 ◽  
Vol 32 (33) ◽  
pp. 1850410 ◽  
Author(s):  
S. V. Talalov

In this paper, we construct the Hamiltonian description of the closed vortex filament dynamics in terms of non-standard variables, phase space and constraints. The suggested approach makes obvious interpretation of the considered system as a structured particle that possesses certain external and internal degrees of the freedom. The constructed theory is invariant under the transformation of Galilei group. The appearance of this group allows for a new viewpoint on the energy of a closed vortex filament with zero thickness. The explicit formula for the effective mass of the structured particle “closed vortex filament” is suggested.


2009 ◽  
Vol 02 (03) ◽  
pp. 243-251
Author(s):  
VLADIMIR G. IVANCEVIC ◽  
TIJANA T. IVANCEVIC

The unique Hamiltonian description of neuro- and psycho-dynamics at the macroscopic, classical, inter-neuronal level of brain's neural networks, and microscopic, quantum, intra-neuronal level of brain's microtubules, is presented in the form of an open Liouville equation. This implies the arrow of time in both neuro- and psycho-dynamic processes and proves the existence of the formal neuro-biological space-time self-similarity. This proof implies the existence of a unique neurodynamical law, which acts on different scales of brain's functioning.


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