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Dynamics of the Harper map: Localized states, Cantor spectra and Strange nonchaotic attractors
Surendra Singh Negi, Ramakrishna Ramaswamy
The Harper (or ``almost Mathieu'') equation plays an important role in studies of localization. Through a simple transformation, this equation can be converted into an iterative tw…
Bifurcations and transitions in the quasiperiodically driven logistic map
Surendra Singh Negi, Awadhesh Prasad, Ramakrishna Ramaswamy
We discuss several bifurcation phenomena that occur in the quasiperiodically driven logistic map. This system can have strange nonchaotic attractors (SNAs) in addition to chaotic a…
A Plethora of Strange Nonchaotic Attractors
Surendra Singh Negi, Ramakrishna Ramaswamy
We show that it is possible to devise a large class of skew--product dynamical systems which have strange nonchaotic attractors (SNAs): the dynamics is asymptotically on fractal at…
Critical Localization and Strange Nonchaotic Dynamics: The Fibonacci Chain
Surendra Singh Negi, Ramakrishna Ramaswamy
The discrete Schrödinger equation with a quasiperiodic dichotomous potential specified by the Fibonacci sequence is known to have a singular continuous eigenvalue spectrum with all…