Limit cycles in a forced Lorenz system

Bhattacharjee, J. K. ; Banerjee, K. ; Chowdhury, D. ; Saravanan, R. ; Manna, S. (1984) Limit cycles in a forced Lorenz system Physics Letters A, 104 (1). pp. 33-35. ISSN 0375-9601

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037596...

Related URL: http://dx.doi.org/10.1016/0375-9601(84)90582-6

Abstract

We consider a Lorenz system where the control parameter is sinusoidally modulated. Limit cycles appear where previously there were strange attractors. Perturbation theory is used to estimate the critical amplitude of the modulation for which limit cycles appear.

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