On the transition from local regular to
β
Patrick Pintus; Duncan Sands; Robin de Vilder
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Article
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2000
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Elsevier Science
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English
β 390 KB
We present a general framework for understanding the transition from local regular to global irregular (chaotic) behaviour 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 sadd