A family of spherical non-Hermitian potentials is studied. It is shown that the corresponding non-Hermitian Hamiltonians admit some "new" P$phi$T$phi$-symmetry. It is observed that whilst such P$phi$T$phi$-symmetric Hamiltonians just copy the eigen...
In this paper, we propose a discrete Hamilton--Jacobi theory for (discrete) Hamiltonian dynamics defined on a (discrete) contact manifold. To this end, we first provide a novel geometric Hamilton--Jacobi theory for continuous contact Hamiltonian dyna...
We determine conditions under which two Hamiltonian torus actions on a symplectic manifold $M$ are homotopic by a family of Hamiltonian torus actions, when $M$ is a toric manifold and when $M$ is a coadjoint orbit....
We study the Harry Dym hierarchy of nonlinear evolution equations from the bi-Hamiltonian view point. This is done by using the concept of an S-hierarchy. It allows us to define a matrix Harry Dym hierarchy of commuting Hamiltonian flows in two fie...
It is proved that if a graph is regular of even degree and contains a Hamilton cycle, or regular of odd degree and contains a Hamiltonian $3$-factor, then its line graph is Hamilton decomposable. This result partially extends Kotzig's result that a $...
In this paper, we investigate the relative Gel'fand-Kalinin-Fuks cohomology groups of the formal Hamiltonian vector fields on R^4. In the case of formal Hamiltonian vector fields on R^2, we computed the relative Gel'fand-Kalinin-Fuks cohomology group...
Watch Ohio State Buckeyes Linebacker Sonny Styles beat Dallas Cowboys wide receiver CeeDee Lamb and Baltimore Ravens safety Kyle Hamilton in this Simulcam.
This note is devoted to the study of Hamiltonian formalism of modified F(R) Horava-Lifshitz theories of gravity that were proposed recently in arXiv:1001.4102[hep-th]. We also study Hamiltonian formulation of the healthy extended Horava-Lifshitz gr...
We investigate the relation between the phase space structure of Hamiltonian and non-Hamiltonian deterministic thermostats. We show that phase space structures governing reaction dynamics in Hamiltonian systems map to the same type of phase space s...
Lewis Carl Davidson Hamilton (born 7 January 1985) is a British racing driver who competes in Formula One for Ferrari. Hamilton has won a joint-record
An effective characterization of chaotic conservative Hamiltonian systems in terms of the curvature associated with a Riemannian metric tensor derived from the structure of the Hamiltonian has been extended to a wide class of potential models of st...
Mercedes racing driver George Russell seemingly asked his former teammate Lewis Hamilton for an update on his rumored relationship with Kim Kardashian in a video from a class of 2026 F1 photoshoot shared Wednesday by Mercedes.
Dec 23, 2025 · “It’s a nightmare, I’ve been living it for a while”, was Lewis Hamilton ’s frank summary of the 2025 Formula 1 season, for it was the year he arguably performed at his worst.
Nov 23, 2025 · Lewis Hamilton leaves Las Vegas with blunt honesty, calling 2025 his worst season. He finishes tenth after starting twentieth, following a wet qualifying session without a flying lap.
5 days ago · Lewis Hamilton asked himself "uncomfortable questions" over the winter break, as he figured out what changes he needed to make for F1 2026.
3 days ago · British driver Lewis Hamilton races for Ferrari in the 2025 season, after securing 7th place in the 2024 Championship with 223 points. His team-mate is Monaco driver Charles Lerclerc.
Jul 21, 2025 · Lewis Hamilton to Ferrari was perhaps the most shocking driver transfer in recent F1 history, but so far has failed to deliver as we are mid-season in 2025. With 103 points in 12 races, …
Explore Lewis Hamilton's 2025 Formula 1 journey. View race results, stats, and performance highlights from the 2025 F1 season.
Nov 23, 2025 · Lewis Hamilton labelled 2025 his worst season in Formula 1 after he started at the back of the grid to finish in the top 10 at the Las Vegas Grand Prix.
3 days ago · Lewis Hamilton: F1 2025 version of myself has "gone" The ground-effect era was tough for the seven-time world champion, but he feels much better ahead of the new regulations