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Shifts in control parameter dynamically access individual attractors in a multistable system

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Abstract

We propose a technique called the power-shift method to discover new attractors and access known attractors in experimental systems by solely shifting the control parameter of a multistable system in situ. Power shifting is a type of incremental perturbation of the control parameter that allows the system to be placed in an otherwise difficult-to-access attractor by using other attractors as steppingstones. We find that by power shifting within certain time windows of the limit cycle, we can reliably access a desired attractor. The power-shift method is demonstrated theoretically with noise using a single-mode coherent model of a laser with injected signal.

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Acknowledgements

We wish to thank Professor Albert T. Rosenberger for his experimental acumen and consultation.

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  1. Physics Department, Oklahoma State University, Stillwater, OK, 74078, USA

    E. K. T. Burton, J. R. Hall, D. M. Chapman & D. K. Bandy

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  1. E. K. T. Burton
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Correspondence to D. K. Bandy.

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Burton, E.K.T., Hall, J.R., Chapman, D.M. et al. Shifts in control parameter dynamically access individual attractors in a multistable system. Nonlinear Dyn 105, 1877–1883 (2021). https://doi.org/10.1007/s11071-021-06667-x

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