Universality and scaling in networks of period-doubling maps with a pacemaker
The networks of globally coupled maps with a pacemaker have been introduced. We consider a generalization of the Kaneko model with a pacemaker represented by a single period-doubling element coupled unidirectionally with a set of other mutually coupled cells. We also investigate the dynamics of a sy...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS/2006/74723 |
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| Summary: | The networks of globally coupled maps with a pacemaker
have been introduced. We consider a generalization of
the Kaneko model with a pacemaker represented by a single
period-doubling element coupled unidirectionally with a set of
other mutually coupled cells. We also investigate the
dynamics of a system of two unidirectionally coupled
elements, which manifests a special type of critical
behaviour, known as bicriticality, at the point of
simultaneous transition to chaos in both subsystems. With the help
of the renormalization group (RG), we show for a case of two
mutually coupled bicritical maps with a pacemaker that
there are two types of coupling: dissipative
and inertial. We investigate the dynamics of a network with a
pacemaker with two types of global coupling and the
properties of universality and scaling in this system. |
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| ISSN: | 1026-0226 1607-887X |