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math.DS2025
On the Dynamics of Invariant Graphs for Dissipative Twist Maps
Qi Li, Lin Wang
For two-parameter families of dissipative twist maps, we investigate the dynamics of invariant graphs as well as the thresholds for their existence and breakdown. Our main results…
math.DS2025
On the Destruction of Invariant Lagrangian Graphs for Conformal Symplectic Twist Maps
Alfonso Sorrentino, Lin Wang
In this article we investigate the fragility of invariant Lagrangian graphs for dissipative maps, focusing on their destruction under small perturbations. Inspired by Herman's work…