Computer-assisted proof establishes existence of a transverse heteroclinic orbit in the Shimizu-Morioka system by validating equilibria, manifolds, and connecting orbit with radii polynomials.
Rigorous Numerics in Dynam- ics, volume 74 of Proceedings of Symposia in Applied Mathematics
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Computer-Assisted Proofs in Dynamical Systems: A Case Study of a Heteroclinic Orbit in the Shimizu--Morioka System
Computer-assisted proof establishes existence of a transverse heteroclinic orbit in the Shimizu-Morioka system by validating equilibria, manifolds, and connecting orbit with radii polynomials.