Major open problems in chaos theory and nonlinear dynamics

Abstract

Nowadays, chaos theory and nonlinear dynamics lack research focuses. Here we mention a few major open problems: 1. an effective description of chaos and turbulence, 2. rough dependence on initial data, 3. arrow of time, 4. the paradox of enrichment, 5. the paradox of pesticides, 6. the paradox of plankton.

References in corpus (2)

• Periodic orbits near onset of chaos in plane Couette flow
• On the well-posedness of the incompressible Euler Equation

Cited by in corpus (1)

• Superfast amplification and superfast nonlinear saturation of perturbations as the mechanism of turbulence