In contact Hamiltonian systems, the so-called dissipated quantities are akin to conserved in classical systems. this article, a Noether's theorem for non-autonomous systems is proved, characterizing class of symmetries which bijection with quantities. Other classes preserve (up conformal factor) additional structures, such as form or function, also studied. Furthermore, making use geometric str...

the southern coasts of caspian sea is subjected to synoptic/mesoscale weather systemsranging from locally enhanced sea breeze formation and small local front systems to synoptic scale cyclones.this study presents climatology of cyclones over the southern coasts of caspian sea covering a ten year period1996-2005. altogether 57 cyclones were formed during the ten year period. anoticeable seasonal...

Abstract We consider general infinite-dimensional dynamical systems with the Galilean and spatiotemporal scaling symmetry groups. Introducing equivalence relation respect to temporal scalings transformations, we define a representative set containing single element within each class. Temporal transformations do not commute evolution operator (flow) and, hence, is invariant. Despite of that, pro...

Abstract This paper is devoted to discrete mechanical systems subject external forces. We introduce a version of with Rayleigh-type forces, obtain the equations motion and characterize equivalence for these systems. Additionally, we Noether’s theorem other characterizing Lie subalgebra symmetries forced Lagrangian system. Moreover, develop Hamilton–Jacobi theory Hamiltonian These results are us...

a fundamental topic in computational fluid dynamics is the role of coordinate particularly for searching optimized coordinates. the objective of this study is the numerical modeling of supersonic flows using a new coordinate system i.e. unified coordinate system (ucs) uses moving mesh with motionless viewing window technique. ucs has an advantage over traditional coordinate systems (eulerian an...

in this paper, a facility location problem of distribution systems, as one of the important and strategic issues in supply chain management, has been studied in a three-level supply chain under a stochastic condition. for this purpose, a two-stage mathematic model has been proposed for the location-allocation problem of distribution systems with regard to backup facilities for disrupting wareho...