Publication

Geometric phases in discrete dynamical systems

Publications associées (31)

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Two dynamical systems are topologically equivalent when their phase-portraits can be morphed into each other by a homeomorphic coordinate transformation on the state space. The induced equivalence classes capture qualitative properties such as stability or ...

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The competition between thermal fluctuations and potential forces governs the stability of matter in equilibrium, in particular the proliferation and annihilation of topological defects. However, driving matter out of equilibrium allows for a new class of ...

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We report a state-prepared, state-resolved study of rotational scattering of a diatomic molecule from a solid surface. Specifically, H-2 molecules with 80 meV kinetic energy are rotationally aligned in the j = 3 rotational state via stimulated Raman pumpin ...

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An ultralow-profile circularly polarized (CP) reflectarray (RA) antenna is presented in this article, based on the variable-rotation technique for beam collimation and scanning. Starting from a conventional split-loop element, a new wideband element is des ...

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We introduce the "continuized" Nesterov acceleration, a close variant of Nesterov acceleration whose variables are indexed by a continuous time parameter. The two variables continuously mix following a linear ordinary differential equation and take gradien ...

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On Topological Equivalence in Linear Quadratic Optimal Control

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Dynamical systems are topologically equivalent when their orbits can be mapped onto each other via a homeomorphic change of coordinates. We will show that in general, closed-loop systems resulting from Linear Quadratic Optimal Control problems are all topo ...

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Invariant states in inclined layer convection. Part 1. Temporal transitions along dynamical connections between invariant states

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Sensor system

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Sensor system (1) comprising a frame (306) supporting a force-sensing tip (310) arranged to generate a signal based upon a force applied by said force-sensing tip (310) to a material to be tested,characterised in that said system (1) further comprises:- an ...

2020