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math.DS2021★ 1 cited
Lorenz System State Stability Identification using Neural Networks
Megha Subramanian, Ramakrishna Tipireddy, Samrat Chatterjee
Nonlinear dynamical systems such as Lorenz63 equations are known to be chaotic in nature and sensitive to initial conditions. As a result, a small perturbation in the initial condi…
math.DS2020★ 5 cited
Learning Koopman Representations for Hybrid Systems
Craig Bakker, Arnab Bhattacharya, Samrat Chatterjee +2
The Koopman operator lifts nonlinear dynamical systems into a functional space of observables, where the dynamics are linear. In this paper, we provide three different Koopman repr…