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math.DS2023★ 1 cited
The One-dimensional Version of Peixoto's Structural Stability Theorem: A Calculus-based Proof
Aminur Rahman, Denis Blackmore
Peixoto's structural stability and density theorems represent milestones in the modern theory of dynamical systems and their applications. Despite the importance of these theorems,…
math.DS2023★ 2 cited
Stochastic discrete dynamical model for the hydrodynamic analog of a quantum mirage
Gonzalo Ferrandez Quinto, Aminur Rahman
Recently discrete dynamical models of walking droplet dynamics have allowed for fast numerical simulations of their horizontal chaotic motion and consequently the long-time statist…