Related Experiment Video
Updated: Aug 12, 2026

Investigating the Three-dimensional Flow Separation Induced by a Model Vocal Fold Polyp
Published on: February 3, 2014
Integrals of motion and semipermeable surfaces to bound the amplitude of a plasma instability
1Centre for Nonlinear Dynamics and its Applications, University College London, Gower Street, London WC1E 6BT, United Kingdom. s.neukirch@ucl.ac.uk
Abstract:
We study a dissipative dynamical system that models a parametric instability in a plasma. This instability is due to the interaction of a whistler with the ion acoustic wave and a plasma oscillation near the lower hybrid resonance. The amplitude of these three oscillations obey a three-dimensional system of ordinary differential equations which exhibits chaos for certain parameter values. By using certain "integrability informations" we have on the system, we get geometrical bounds for its chaotic attractor, leading to an upper bound for its Lyapunov dimension. On the other hand, we also obtain ranges of values of the system's parameters for which there is no chaotic motion.
Related Concept Videos
Electrostatic Boundary Conditions
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
Magnetostatic Boundary Conditions
Line, Surface, and Volume Integrals
Improper Integrals: Discontinuous Integrands
Substitutions in Multiple Integrals
Divergence Theorem in 3D Space

