TRANSPORT IN DYNAMICAL ASTRONOMY AND MULTIBODY PROBLEMS
From MaRDI portal
Publication:5318365
DOI10.1142/S0218127405012545zbMath1085.70012OpenAlexW2150291179MaRDI QIDQ5318365
Jerrold E. Marsden, Francois Lekien, Michael Dellnitz, Oliver Junge, Bianca Thiere, Shane D. Ross, Kathrin Padberg-Gehle, Wang Sang Koon, Robert Preis, Martin W. Lo
Publication date: 26 September 2005
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127405012545
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) (n)-body problems (70F10)
Related Items
Parameterization of invariant manifolds for periodic orbits. II: A posteriori analysis and computer assisted error bounds, Identifying stochastic basin hopping by partitioning with graph modularity, Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows, Chaotic advection in the restricted four-vortex problem on a sphere, High-Order Parameterization of Stable/Unstable Manifolds for Long Periodic Orbits of Maps, GEOMETRY OF HOMOCLINIC CONNECTIONS IN A PLANAR CIRCULAR RESTRICTED THREE-BODY PROBLEM, Escape dynamics and fractal basin boundaries in the planar Earth-Moon system., Horseshoes in hurricanes, Computational method for phase space transport with applications to Lobe dynamics and rate of escape, Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem, Two mechanisms of natural transport in the Solar system, Finding NHIM: identifying high dimensional phase space structures in reaction dynamics using Lagrangian descriptors, Geometry of escape and transition dynamics in the presence of dissipative and gyroscopic forces in two degree of freedom systems, Set-Oriented and Finite-Element Study of Coherent Behavior in Rayleigh-Bénard Convection, Optimal transport over nonlinear systems via infinitesimal generators on graphs, Coherent structures and isolated spectrum for Perron–Frobenius cocycles, Improving spectral bounds for clustering problems by Lagrangian relaxation, Computing the invariant measure and the Lyapunov exponent for one-dimensional maps using a measure-preserving polynomial basis, Absolute flux optimising curves of flows on a surface, On robust computation of Koopman operator and prediction in random dynamical systems, Local expansion concepts for detecting transport barriers in dynamical systems, Coherent sets for nonautonomous dynamical systems, Theory and computation of non-RRKM lifetime distributions and rates in chemical systems with three or more degrees of freedom, Using FLI maps for preliminary spacecraft trajectory design in multi-body environments, New methods in celestial mechanics and mission design, A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors, Lagrangian coherent structures in the planar elliptic restricted three-body problem, Network measures of mixing, Quenched stochastic stability for eventually expanding-on-average random interval map cocycles, On the Approximation of Transport Phenomena - a Dynamical Systems Approach, An algorithm for computing phase space structures in chemical reaction dynamics using Voronoi tessellation, METASTABILITY, LYAPUNOV EXPONENTS, ESCAPE RATES, AND TOPOLOGICAL ENTROPY IN RANDOM DYNAMICAL SYSTEMS
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A simple approximation algorithm for the weighted matching problem
- An efficient method for computing invariant manifolds of planar maps
- Geometric structures, lobe dynamics, and Lagrangian transport in flows with aperiodic time-dependence, with applications to Rossby wave flow
- A subdivision algorithm for the computation of unstable manifolds and global attractors
- Scattering by resonances
- Asynchronous variational integrators
- Quality matching and local improvement for multilevel graph-partitioning
- Transport in two-dimensional maps
- The geometry of reaction dynamics
- Variational time integrators
- Discrete mechanics and variational integrators
- An analytical study of transport, mixing and chaos in an unsteady vortical flow
- Lagrangian coherent structures from approximate velocity data
- Symplectic maps, variational principles, and transport
- Capture into resonance: An extension of the use of adiabatic invariants
- A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
- On the Approximation of Complicated Dynamical Behavior
- CALCULATING STABLE AND UNSTABLE MANIFOLDS
- Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles
- Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics
- Stable periodic motions in the problem on passage through a separatrix
- Targeting in Hamiltonian systems that have mixed regular/chaotic phase spaces
- Exploring invariant sets and invariant measures
- Low Energy Transit Orbits in the Restricted Three-Body Problems
- Resonance and capture of Jupiter comets
- Low energy transfer to the Moon