We will present a consistent description of Hamiltonian dynamics on the'symplectic
extended phase space'that is analogous to that of a time-independent Hamiltonian system …

The relation between symmetries and first integrals for both continuous canonical
Hamiltonian equations and discrete Hamiltonian equations is considered. The observation …

This paper examines a new Noether theorem for Hamiltonian systems with Caputo Δ
derivatives based on fractional time-scales calculus, which overcomes the difficulties unified …

A group theoretical identification of integrable cases of the Liénard-type equation ẍ+ f (x)
ẋ+ g (x)=⁠. I. Equations having nonmaximal number of Lie point symmetries| Journal of …

In this paper we aim at presenting a concise but also comprehensive study of time-
dependent (t-dependent) Hamiltonian dynamics on a locally conformal symplectic (lcs) …

In this paper we present an approach toward the comprehensive analysis of the
nonintegrability of differential equations in the form ̈x=f(x,t) which is analogous to …

In the present paper, the well-known Noether's identity, which represents the connection
between symmetries and first integrals of Euler–Lagrange equations, is rewritten in terms of …

Symmetries and invariants for the 2D-Ricci flow model Page 1 Journal of Nonlinear
Mathematical Physics Volume 13, Number 2 (2006), 285–292 Article Symmetries and invariants …

For the motion of a charged particle in a uniform, time-dependent axial magnetic field B (t)
ez, it is shown that there is an exact magnetic-moment invariant of the particle dynamics M …

The Equivalence Principle is considered in the framework of metric-affine gravity. We show
that it naturally emerges as a Noether symmetry starting from a general non-metric theory. In …