Homoclinic and chaotic transitions in the rf squid

doi:10.1016/0167-2789(89)90267-4

Physica D: Nonlinear Phenomena

Volume 34, Issue 3, March 1989, Pages 439-448

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Abstract

The results presented here are a continuation of recent work investigating the onset of homoclinic behavior in the rf SQUID. The transition from periodic to chaotic behavior is studied through a calculation of the Lyapunov exponents for the system, and the threshold condition for the onset of chaotic behavior is compared with the Melnikov condition for the homoclinic threshold. The dimension calculated from the Poincaré section of the strange attracting set by means of the correlation function technique and the box counting technique is compared with the dimension derived from the Lyapunov exponents.

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^∗: Permanent address: Physics Department, University of Texas, Austin, TX 78712, USA.

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Homoclinic and chaotic transitions in the rf squid

Abstract

Physica D

Solid State Commun.

Physica D

Physica D

Nonlinear Oscillations

Phil. Trans. Roy. Soc. A

J. Appl. Phys.

Phys. Rev. Lett.

Phys. Rev. A

Sov. J. Low Temp. Phys. JETP