The paper by Sishu Shankar Muni explores the dynamics and bifurcations of a three-dimensional quadratic map, focusing on both resonant and ergodic torus doubling bifurcations. The study highlights that such bifurcations can only occur in maps of dimensions three or higher. After doublings, the formation of Shilnikov attractors and hyperchaotic attractors is typically observed. The map under investigation exhibits both resonant and ergodic torus doubling bifurcations, with the doubled mode-locked periodic orbits lying on a Möbius strip. The analysis uses the second Poincaré section and the Lyapunov bundles method, along with techniques for constructing one-dimensional manifolds and multi-dimensional Newton–Raphson methods to locate saddle periodic orbits. The paper also addresses the classification of resonant torus doubling bifurcations and tests a conjecture on their occurrence. The main contributions include the demonstration of both ergodic and resonant torus doubling bifurcations, the examination of these bifurcations using advanced methods, and the validation of a conjecture on resonant torus doubling.The paper by Sishu Shankar Muni explores the dynamics and bifurcations of a three-dimensional quadratic map, focusing on both resonant and ergodic torus doubling bifurcations. The study highlights that such bifurcations can only occur in maps of dimensions three or higher. After doublings, the formation of Shilnikov attractors and hyperchaotic attractors is typically observed. The map under investigation exhibits both resonant and ergodic torus doubling bifurcations, with the doubled mode-locked periodic orbits lying on a Möbius strip. The analysis uses the second Poincaré section and the Lyapunov bundles method, along with techniques for constructing one-dimensional manifolds and multi-dimensional Newton–Raphson methods to locate saddle periodic orbits. The paper also addresses the classification of resonant torus doubling bifurcations and tests a conjecture on their occurrence. The main contributions include the demonstration of both ergodic and resonant torus doubling bifurcations, the examination of these bifurcations using advanced methods, and the validation of a conjecture on resonant torus doubling.