We present a general framework for understanding the transition from local regular to global irregular (chaotic) behavior of nonlinear dynamical models in discrete time. The fundamental mechanism is the unfolding of quadratic tangencies between the stable and the unstable manifolds of periodic...

We present a general framework for understanding the transition from local regular to global irregular (chaotic) bahaviour of nonlinear dynamical models in discrete time. The fundamental mechanism is the unfolding of quadratic tangencies between the stable and the unstable manifolds of periodic...