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Existence of Continua of Cycles in Hamiltonian Control Systems

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Abstract

Simple conditions for the existence of global continua of cycles in autonomous Hamiltonian single-loop control systems are derived from ordinary linear two-sided nonlinearity estimates. Limiting bounds of sector estimates are determined by the properties of the linear part. The designed methods are useful in determining two-sided estimates for the period of a cycle in a sector.

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Authors and Affiliations

  1. Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia

    A. M. Krasnosel'skii & D. I. Rachinskii

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  1. A. M. Krasnosel'skii
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  2. D. I. Rachinskii
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Krasnosel'skii, A.M., Rachinskii, D.I. Existence of Continua of Cycles in Hamiltonian Control Systems. Automation and Remote Control 62, 227–235 (2001). https://doi.org/10.1023/A:1002842206198

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  • DOI: https://doi.org/10.1023/A:1002842206198

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