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pro vyhledávání: '"Partha Guha"'
Autor:
Partha Guha
Publikováno v:
Entropy, Vol 24, Iss 11, p 1673 (2022)
The Calogero–Leyvraz Lagrangian framework, associated with the dynamics of a charged particle moving in a plane under the combined influence of a magnetic field as well as a frictional force, proposed by Calogero and Leyvraz, has some special featu
Externí odkaz:
https://doaj.org/article/826e4a4e19b54dd9a6fb4e035439e82e
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 120,, Pp 1-9 (2018)
We present a construction of the Jacobi-Maupertuis (JM) principle for an equation of the Lienard type, $$ \ddot{x} + f(x) \dot{x}^2 + g(x) = 0, $$ using Jacobi's last multiplier. The JM metric allows us to reformulate the Newtonian equation of
Externí odkaz:
https://doaj.org/article/43682c371e024223a728221fb2337943
Autor:
Partha Guha
Publikováno v:
Acta Mechanica. 233:3591-3600
Publikováno v:
Reviews in Mathematical Physics.
We study a geometrical formulation of the nonlinear second-order Riccati equation (SORE) in terms of the projective vector field equation on [Formula: see text], which in turn is related to the stability algebra of Virasoro orbit. Using Darboux integ
Autor:
A. Ghose Choudhury, Partha Guha
Publikováno v:
Surveys in Mathematics and its Applications, Vol 10 (2015), Pp 1-21 (2015)
In this survey the role of Jacobi's last multiplier in mechanical systems with a position dependent mass is unveiled. In particular, we map the Liénard II equation x" + f(x)x'2 + g(x) = 0 to a position dependent mass system. The quantization of the
Externí odkaz:
https://doaj.org/article/de17476c693b4ce08b7bd076c98a461c
Autor:
Partha, Guha
Publikováno v:
Entropy (Basel, Switzerland). 24(11)
The Calogero-Leyvraz Lagrangian framework, associated with the dynamics of a charged particle moving in a plane under the combined influence of a magnetic field as well as a frictional force, proposed by Calogero and Leyvraz, has some special feature
Autor:
Partha Guha
Publikováno v:
The European Physical Journal Plus. 137
Generalized Emden–Fowler equations related to constant curvature surfaces and noncentral curl forces
Autor:
Partha Guha
Publikováno v:
Acta Mechanica. 232:3381-3391
A noncentral force is a prototypical example of nonconservative position dependent force, known as curl force; this terminology was first proposed by Berry and Shukla in [1]. In this paper, we extend the construction of a noncentral force on the Eucl
Publikováno v:
International Journal of Geometric Methods in Modern Physics. 19
In this paper, we consider certain analytical features of a stochastic model that can explain competition among species and simultaneous predation on the competing species from a geometric perspective. This allows us to build a systematic description
Autor:
Partha Guha, Sudip Garai
Publikováno v:
Nonlinear Dynamics. 103:2257-2272
The position-dependent non-conservative forces are called curl forces introduced recently by Berry and Shukla (J Phys A 45:305201, 2012). The aim of this paper is to study mainly the curl force dynamics of non-conservative central force $$\ddot{x} =