Abstract
In this chapter, a simple nonlinear controller is applied to investigate the generalized projective synchronization for two gyroscopes with different dynamical behaviors. The projective synchronization conditions are developed through the theory of discontinuous dynamical systems. The synchronization invariant domain from the synchronization conditions is presented. The parameter maps are obtained for a better understanding of the synchronicity of two gyroscopes. Finally, the partial and full generalized projective synchronizations of two nonlinear coupled gyroscope systems are carried out to verify the effectiveness of the scheme. The scaling factors in such synchronization are observed through numerical simulations.
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Min, F., Luo, A.C.J. (2014). Projective Synchronization of Two Gyroscope Systems with Different Motions. In: Machado, J., Baleanu, D., Luo, A. (eds) Discontinuity and Complexity in Nonlinear Physical Systems. Nonlinear Systems and Complexity, vol 6. Springer, Cham. https://doi.org/10.1007/978-3-319-01411-1_13
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DOI: https://doi.org/10.1007/978-3-319-01411-1_13
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