Journal
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
Volume 224, Issue 8, Pages 1541-1552Publisher
SPRINGER HEIDELBERG
DOI: 10.1140/epjst/e2015-02478-7
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Funding
- Polish National Science Centre, MAESTRO Programme [2013/08/A/ST8/00/780]
- Young Scientists Fund at the Faculty of Mechanical Engineering at Lodz University of Technology
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We discuss the occurrence of various synchronous states in a ring of unidirectionally coupled modified Rossler oscillators. When systems are uncoupled we observe, single node has an infinite number of different states. When the coupling strength increases the infinitely many synchronous states appear. We show that all synchronous solutions are different and change with varying initial conditions. The analysis is performed for three and four coupled oscillators. At the end of the paper we discuss possible synchronization scenarios for larger networks with ring topology.
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