Semyon S. Abramov, Maxim I. Bolotov, Lev A. Smirnov
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引用次数: 0
Abstract
We consider the effect of an external periodic force on chimera states in the phase oscillator model proposed in [Phys. Rev. Lett, v. 101, 00319007 (2008)].
Using the Ott – Antonsen reduction, the dynamical equations for the global order parameter
characterizing the degree of synchronization are constructed. The frequency locking by an external periodic force region is
constructed. The possibility of stable chimeras synchronization and unstable chimeras
stabilization is established. The instability development of the chimera states leads to the appearance of breather chimeras or complete synchronization.
期刊介绍：
Regular and Chaotic Dynamics (RCD) is an international journal publishing original research papers in dynamical systems theory and its applications. Rooted in the Moscow school of mathematics and mechanics, the journal successfully combines classical problems, modern mathematical techniques and breakthroughs in the field. Regular and Chaotic Dynamics welcomes papers that establish original results, characterized by rigorous mathematical settings and proofs, and that also address practical problems. In addition to research papers, the journal publishes review articles, historical and polemical essays, and translations of works by influential scientists of past centuries, previously unavailable in English. Along with regular issues, RCD also publishes special issues devoted to particular topics and events in the world of dynamical systems.
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