[ספר][B] Multiple time scale dynamics
C Kuehn - 2015 - Springer
This book aims to provide an introduction to dynamical systems with multiple time scales. As
in any overview book, several topics are covered only quite briefly. My aim was to focus on …
in any overview book, several topics are covered only quite briefly. My aim was to focus on …
The parameterization method for invariant manifolds
Poincaré's program for the global analysis of a dynamical system starts by considering
simple solutions, such as equilibria and periodic orbits, together with their corresponding …
simple solutions, such as equilibria and periodic orbits, together with their corresponding …
Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry
We consider Dirac equations on even-dimensional Lorentzian manifolds of bounded
geometry with a spin structure. For the associated free quantum field theory, we construct …
geometry with a spin structure. For the associated free quantum field theory, we construct …
Stationary kernels and gaussian processes on lie groups and their homogeneous spaces i: the compact case
Gaussian processes are arguably the most important class of spatiotemporal models within
machine learning. They encode prior information about the modeled function and can be …
machine learning. They encode prior information about the modeled function and can be …
[ספר][B] Microlocal analysis of quantum fields on curved spacetimes
C Gérard - 2019 - ems.press
Quantum Field Theory arose from the need to unify Quantum Mechanics with special
relativity. It is usually formulated on the flat Minkowski spacetime, on which classical field …
relativity. It is usually formulated on the flat Minkowski spacetime, on which classical field …
Hadamard states for the Klein–Gordon equation on Lorentzian manifolds of bounded geometry
Abstract We consider the Klein–Gordon equation on a class of Lorentzian manifolds with
Cauchy surface of bounded geometry, which is shown to include examples such as exterior …
Cauchy surface of bounded geometry, which is shown to include examples such as exterior …
Singular-perturbations-based analysis of dynamic consensus in directed networks of heterogeneous nonlinear systems
We investigate conditions under which heterogeneous nonlinear systems, interconnected
over a directed static network, may achieve synchrony. Due to the network's heterogeneity …
over a directed static network, may achieve synchrony. Due to the network's heterogeneity …
Geometric integrators for higher-order variational systems and their application to optimal control
Numerical methods that preserve geometric invariants of the system, such as energy,
momentum or the symplectic form, are called geometric integrators. In this paper we present …
momentum or the symplectic form, are called geometric integrators. In this paper we present …
Well‐posedness of the Laplacian on manifolds with boundary and bounded geometry
Let M be a Riemannian manifold with a smooth boundary. The main question we address in
this article is:“When is the Laplace–Beltrami operator,, invertible?” We consider also the …
this article is:“When is the Laplace–Beltrami operator,, invertible?” We consider also the …
Arnold diffusion in the planar elliptic restricted three-body problem: mechanism and numerical verification
We present a diffusion mechanism for time-dependent perturbations of autonomous
Hamiltonian systems introduced in Gidea (2014 arxiv: 1405.0866). This mechanism is …
Hamiltonian systems introduced in Gidea (2014 arxiv: 1405.0866). This mechanism is …