Coupling multistable systems: uncertainty due to the initial positions on the attractors

Patrycja Kuzma, Marcin Kapitaniak, Tomasz Kapitaniak

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Abstract

We consider the coupling of multistable nonidentical systems. For small values of the coupling coefficient the behavior of the coupled system strongly depends on the actual position of trajectories on their attractors in the moment when the coupling is introduced. After reaching the coupling threshold value, this dependence disappears. We give an evidence that this behavior is robust as it exists for a wide range of parameters and different types of coupling. We argue why this behavior cannot be considered as a dependence on the initial conditions.
Original languageEnglish
Pages (from-to)281-284
Number of pages4
JournalJournal of Theoretical and Applied Mechanics
Volume52
Issue number1
Publication statusPublished - Jan 2014

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coupling coefficients
trajectories
moments
thresholds

Keywords

  • coupled systems
  • synchronization
  • attractors

Cite this

Coupling multistable systems : uncertainty due to the initial positions on the attractors. / Kuzma, Patrycja; Kapitaniak, Marcin; Kapitaniak, Tomasz.

In: Journal of Theoretical and Applied Mechanics, Vol. 52, No. 1, 01.2014, p. 281-284.

Research output: Contribution to journalArticle

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AB - We consider the coupling of multistable nonidentical systems. For small values of the coupling coefficient the behavior of the coupled system strongly depends on the actual position of trajectories on their attractors in the moment when the coupling is introduced. After reaching the coupling threshold value, this dependence disappears. We give an evidence that this behavior is robust as it exists for a wide range of parameters and different types of coupling. We argue why this behavior cannot be considered as a dependence on the initial conditions.

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