We describe a \(C^{1}\) -open set of systems of differential equations in \(R^{n}\) , for any \(n\geqslant 4\) , where every system has a chain-transitive chaotic attractor whichcontains a saddle-focus equilibrium with a two-dimensional unstable manifold. The attractor also includes a wild hyperbolic set and a heterodimensional cycle involvinghyperbolic sets with different numbers of positive Lyapunov exponents.
