Generalization of the relativistic string model and the topological structure of its classical solutions

1981 ◽  
Vol 5 (3) ◽  
pp. 213-217 ◽  
Author(s):  
A. A. Zheltukhin

1988 ◽  
Vol 41 (2) ◽  
pp. 293-302 ◽  
Author(s):  
V. I. Borodulin ◽  
M. S. Plyushchay ◽  
G. P. Pron'ko


1979 ◽  
Vol 3 (5) ◽  
pp. 359-365 ◽  
Author(s):  
B. M. Barbashov ◽  
V. V. Nesterenko ◽  
A. M. Chervjakov


1981 ◽  
Vol 78 (4) ◽  
pp. 499-506 ◽  
Author(s):  
B. M. Barbashov ◽  
V. V. Nesterenko


1994 ◽  
Vol 09 (17) ◽  
pp. 3059-3076
Author(s):  
E.B. BERDNIKOV

The radiative transitions of light mesons are considered in the relativistic string model. The predictions for the decay rates of the light I=1 mesons and K mesons are presented.





1979 ◽  
Vol 53 (1) ◽  
pp. 59-80
Author(s):  
A. Barducci ◽  
L. Lusanna


1984 ◽  
Vol 37 (1) ◽  
pp. 1 ◽  
Author(s):  
CJ Burden ◽  
LJ Tassie

Solutions to the relativistic string equation are found which correspond to rigid body rotation about the z-axis with azimuthal velocity greater than the velocity of light. If the solutions lie entirely in the x-y plane they are rotating epicycloids, complimentary to the hypocycloid solutions found previously. The use of a general solution to the string equation in terms of two arbitrary world-lines with null tangents provides an alternative derivation of the rigidly rotating solutions.



1993 ◽  
Vol 08 (19) ◽  
pp. 1827-1834 ◽  
Author(s):  
I.V. VOLOVICH

A new model of bosonic strings is considered. An action of the model is the sum of the standard string action and a term describing an interaction of a metric with a linear (affine) connection. The Lagrangian of this interaction is an arbitrary analytic function f(R) of the scalar curvature. This is a classically integrable model. The space of classical solutions of the theory consists of sectors with constant curvature. In each sector the equations of motion reduce to the standard string equations and to an additional constant curvature equation for the linear connection. A bifurcation in the space of all Lagrangians takes place. Quantization of the model is briefly discussed. In a quasiclassical approximation one gets the standard string model with a fluctuating cosmological constant. The Lagrangian f(R), like Morse function, governs transitions between manifolds with different topologies.



2017 ◽  
Vol 27 (14) ◽  
pp. 1750215 ◽  
Author(s):  
Boonyarit Changaival ◽  
Martin Rosalie ◽  
Grégoire Danoy ◽  
Kittichai Lavangnananda ◽  
Pascal Bouvry

Graph Traversal algorithms can find their applications in various fields such as routing problems, natural language processing or even database querying. The exploration can be considered as a first stepping stone into knowledge extraction from the graph which is now a popular topic. Classical solutions such as Breadth First Search (BFS) and Depth First Search (DFS) require huge amounts of memory for exploring very large graphs. In this research, we present a novel memoryless graph traversal algorithm, Chaotic Traversal (CHAT) which integrates chaotic dynamics to traverse large unknown graphs via the Lozi map and the Rössler system. To compare various dynamics effects on our algorithm, we present an original way to perform the exploration of a parameter space using a bifurcation diagram with respect to the topological structure of attractors. The resulting algorithm is an efficient and nonresource demanding algorithm, and is therefore very suitable for partial traversal of very large and/or unknown environment graphs. CHAT performance using Lozi map is proven superior than the, commonly known, Random Walk, in terms of number of nodes visited (coverage percentage) and computation time where the environment is unknown and memory usage is restricted.



1980 ◽  
Vol 4 (2) ◽  
pp. 115-122 ◽  
Author(s):  
K. Kamimura


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