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1. | Negi, Surendra Singh; Ramaswamy, Ramakrishna Plethora of strange nonchaotic attractors Journal Article Pramana – Journal of Physics, 56 (1), pp. 47–56, 2001, ISSN: 03044289. Abstract | Links | BibTeX | Tags: 10, 42, 45, b, Fractals, Lyapunov exponent, nonchaotic, pacs nos 05, strange attractors @article{Negi2001, title = {Plethora of strange nonchaotic attractors}, author = {Surendra Singh Negi and Ramakrishna Ramaswamy}, url = {https://ramramaswamy.org/papers/079.pdf}, doi = {10.1007/s12043-001-0140-7}, issn = {03044289}, year = {2001}, date = {2001-01-01}, journal = {Pramana – Journal of Physics}, volume = {56}, number = {1}, pages = {47–56}, abstract = {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 attractors and the largest Lyapunov exponent is non-positive. Furthermore, we show that quasiperiodic forcing, which has been a hallmark of essentially all hitherto known examples of such dynamics is not necessary for the creation of SNAs.}, keywords = {10, 42, 45, b, Fractals, Lyapunov exponent, nonchaotic, pacs nos 05, strange attractors}, pubstate = {published}, tppubtype = {article} } 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 attractors and the largest Lyapunov exponent is non-positive. Furthermore, we show that quasiperiodic forcing, which has been a hallmark of essentially all hitherto known examples of such dynamics is not necessary for the creation of SNAs. |