Symplectic integration schemes for the ABC flow

DOI10.1007/BF02238358zbMath0854.65059OpenAlexW1584770293MaRDI QIDQ1919126

Michael K. Tippett

Publication date: 6 January 1997

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238358

zbMATH Keywords

numerical testsRunge-Kutta methodHamilton equationsstable orbitsABC flowArnold-Beltrami-Childress flowssymplectic integration schemes

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (1)

Ballistic Orbits and Front Speed Enhancement for ABC Flows

Cites Work

• Unnamed Item
• Does variable step size ruin a symplectic integrator?
• A symplectic integration algorithm for separable Hamiltonian functions
• An explicit symplectic integration scheme for plasma simulations
• Chaotic streamlines in the ABC flows
• Weak Chaos and Quasi-Regular Patterns

This page was built for publication: Symplectic integration schemes for the ABC flow