Reply to “Comment on ‘Simple approach to the creation of a strange nonchaotic attractor in any chaotic system’ ”

Abstract

We have recently proposed a simple method to create a strange nonchaotic attractor with any chaotic system [Phys. Rev. E 59, 5338 (1999)]. Such a system is controlled to switch periodically between a chaotic and a quasiperiodic attractor, each with an appropriate time duration. A topological condition for this approach is pointed out in the preceding Comment by Neumann and Pikovsky [Phys. Rev. E 64, 058201 (2001)]. We show that this condition is not necessary if the durations are sufficiently long. Our approach is a general method to construct a strange nonchaotic attractor in any chaotic system.