Published June 8, 2016 | Version v1
Journal article Metadata-only

Deterministic and stochastic control of chimera states in delayed feedback oscillator

Creators

  • 1. Department of Physics, Saratov State University, Astrakhanskaya Str. 83, 410012 Saratov (Russian Federation)
  • 2. Institut für Theoretische Physik, TU Berlin, Hardenbergstraße 36, 10623 Berlin (Germany)
  • 3. Institute of Mathematics and Center for Medical and Biotechnical Research, NAS of Ukraine, Tereschenkivska Str. 3, 01601 Kyiv (Ukraine)

Description

Chimera states, characterized by the coexistence of regular and chaotic dynamics, are found in a nonlinear oscillator model with negative time-delayed feedback. The control of these chimera states by external periodic forcing is demonstrated by numerical simulations. Both deterministic and stochastic external periodic forcing are considered. It is shown that multi-cluster chimeras can be achieved by adjusting the external forcing frequency to appropriate resonance conditions. The constructive role of noise in the formation of a chimera states is shown.

Additional details

Identifiers

DOI
10.1063/1.4951996;

Publishing Information

Journal Title
AIP Conference Proceedings
Journal Volume
1738
Journal Issue
1
Journal Page Range
vp.
ISSN
0094-243X
CODEN
APCPCS

Conference

Title
International conference of numerical analysis and applied mathematics 2015
Acronym
ICNAAM 2015
Dates
22-28 Sep 2015
Place
Rhodes (Greece)

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
48054980
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
CHAOS THEORY; CHIMERAS; COMPUTERIZED SIMULATION; CONTROL; FEEDBACK; NOISE; NONLINEAR PROBLEMS; OSCILLATORS; PERIODICITY; RESONANCE; STOCHASTIC PROCESSES; TIME DELAY
Descriptors DEC
ELECTRONIC EQUIPMENT; EQUIPMENT; MATHEMATICS; MOSAICISM; SIMULATION; VARIATIONS

Optional Information

Notes
(c) 2016 Author(s)