Global Convergence under Dynamics on a Quadratic Constraint Manifold

Key Points

• The aim is to examine global convergence in a discrete dynamical system influenced by impulsive forcing on a quadratic manifold.
• Analyzed discrete dynamical systems with prime-indexed impulsive forcing.
• Investigated multiplicative return maps with kick amplitudes following a specific decay pattern.
• Explored the relationship with transfer operators and the Riemann zeta function.
• Demonstrated global convergence of the system under the given dynamics.
• Observed transverse energy decay corresponding to the impulsive forcing.
• Established connections between the behavior of the system and properties of the Riemann zeta function.