1. Investigating the dynamics influenced by noise (stochastic perturbation) across various systems, both mechanical and non-mechanical. The aim is to harness real-life noise constructively.

2. Designing a neural machine with the capability to predict long-term transient chaos in nonlinear systems, facilitating early detection and control of undesired dynamical states.

3. Exploring the nonlinear phenomena inherent in origami structures and pioneering metastructures suitable for diverse engineering applications.