Dynamics Associated with the Normally Hyperbolic Invariant Manifold that Governs the Ionization of Hydrogen in a Circularly Polarized Electric Field
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Publication:5116638
DOI10.1142/S0218127420300220zbMath1448.37072OpenAlexW3042441267MaRDI QIDQ5116638
Holger Waalkens, Christof Jung
Publication date: 18 August 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127420300220
Dynamical systems in solid mechanics (37N15) Invariant manifold theory for dynamical systems (37D10) Motion of charged particles (78A35) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Computational methods for invariant manifolds of dynamical systems (37M21)
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Cites Work
- Unnamed Item
- Exponential estimates of symplectic slow manifolds
- Geometrical models of the phase space structures governing reaction dynamics
- Normally hyperbolic invariant manifolds in dynamical systems
- Dynamics in the center manifold of the collinear points of the restricted three-body problem
- The Kepler problem. Group theoretical aspects, regularization and quantization, with application to the study of perturbations (incl. CD-ROM)
- A three-dimensional dynamical model for double-barred galaxies, escape dynamics and the role of the NHIMs
- The geometry of reaction dynamics
- Visualizing the perturbation of partial integrability
- Morse bifurcations of transition states in bimolecular reactions
- A Methodology for the Numerical Computation of Normal Forms, Centre Manifolds and First Integrals of Hamiltonian Systems
- The invariant manifold structure of the spatial Hill's problem
- Direct construction of a dividing surface of minimal flux for multi-degree-of-freedom systems that cannot be recrossed
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Poincaré and the Three-Body Problem
- Numerical continuation of normally hyperbolic invariant manifolds
- The decay of a normally hyperbolic invariant manifold to dust in a three degrees of freedom scattering system
- Bifurcations of transition states: Morse bifurcations
- Wigner's dynamical transition state theory in phase space: classical and quantum
- Perturbation theory of Kepler motion based on spinor regularization.
- Reaction rate theory: What it was, where is it today, and where is it going?