Numerically induced stochasticity

DOI10.1016/0021-9991(91)90078-YzbMath0714.65070OpenAlexW1982120697MaRDI QIDQ751204

Steven P. Auerbach, Alex Friedman

Publication date: 1991

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(91)90078-y

zbMATH Keywords

stabilitychaosdynamical systemsphase spacepotential wellmotion of a particleclosed orbitsleapfrog methodstochastic behaviortime integration schemestime stepping schemes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (5)

Slow crossing of a stochastic layer ⋮ Recent progress in the theory and application of symplectic integrators ⋮ On the integration of equations of motion for particle-in-cell codes ⋮ Long-time behaviour of numerically computed orbits: Small and intermediate timestep analysis of one-dimensional systems ⋮ The use of Hamilton's principle to derive time-advance algorithms for ordinary differential equations

Cites Work

• Long-time behaviour of numerically computed orbits: Small and intermediate timestep analysis of one-dimensional systems
• The Liouville theorem and accurate plasma simulation
• Regular and stochastic motion
• Conservative numerical methods for \(\ddot x=f(x)\)

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