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Author |
Botella-Soler, V.; Castelo, J.M.; Oteo, J.A.; Ros, J. |
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Title  |
Bifurcations in the Lozi map |
Type |
Journal Article |
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Year |
2011 |
Publication |
Journal of Physics A |
Abbreviated Journal |
J. Phys. A |
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Volume |
44 |
Issue |
30 |
Pages |
305101 - 14pp |
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Keywords |
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Abstract |
We study the presence in the Lozi map of a type of abrupt order-to-order and order-to-chaos transitions which are mediated by an attractor made of a continuum of neutrally stable limit cycles, all with the same period. |
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Address |
[Botella-Soler, V; Ros, J] Univ Valencia, CSIC, Dept Fis Teor, E-46100 Valencia, Spain, Email: vicente.botella@uv.es |
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Publisher |
Iop Publishing Ltd |
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Language |
English |
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Edition |
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ISSN |
1751-8113 |
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Conference |
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Notes |
WOS:000292386000006 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
679 |
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Author |
Botella-Soler, V.; Oteo, J.A.; Ros, J. |
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Title |
Coexistence of periods in a bifurcation |
Type |
Journal Article |
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Year |
2012 |
Publication |
Chaos, Solitons & Fractals |
Abbreviated Journal |
Chaos Solitons Fractals |
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Volume |
45 |
Issue |
5 |
Pages |
681-686 |
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Keywords |
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Abstract |
A particular type of order-to-chaos transition mediated by an infinite set of coexisting neutrally stable limit cycles of different periods is studied in the Varley-Gradwell-Hassell population model. We prove by an algebraic method that this kind of transition can only happen for a particular bifurcation parameter value. Previous results on the structure of the attractor at the transition point are here simplified and extended. |
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Address |
[Botella-Soler, V.; Oteo, J. A.; Ros, J.] Univ Valencia, Dept Fis Teor, E-46100 Valencia, Spain, Email: vicente.botella@uv.es |
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Thesis |
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Publisher |
Pergamon-Elsevier Science Ltd |
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Language |
English |
Summary Language |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0960-0779 |
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Conference |
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Notes |
WOS:000303785300014 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
1005 |
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Author |
Botella-Soler, V.; Glendinning, P. |
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Title |
Emergence of hierarchical networks and polysynchronous behaviour in simple adaptive systems |
Type |
Journal Article |
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Year |
2012 |
Publication |
Europhysics Letters |
Abbreviated Journal |
EPL |
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Volume |
97 |
Issue |
5 |
Pages |
50004 - 5pp |
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Keywords |
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Abstract |
We describe the dynamics of a simple adaptive network. The network architecture evolves to a number of disconnected components on which the dynamics is characterized by the possibility of differently synchronized nodes within the same network (polysynchronous states). These systems may have implications for the evolutionary emergence of polysynchrony and hierarchical networks in physical or biological systems modeled by adaptive networks. |
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Address |
[Botella-Soler, V.] Univ Valencia, CSIC, Dept Fis Teor, E-46100 Valencia, Spain, Email: vicente.botella@uv.es |
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Publisher |
Epl Association, European Physical Society |
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Language |
English |
Summary Language |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0295-5075 |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000301952600004 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
958 |
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Author |
Valderrama, M.; Crepon, B.; Botella-Soler, V.; Martinerie, J.; Hasboun, D.; Alvarado-Rojas, C.; Baulac, M.; Adam, C.; Navarro, V.; Le Van Quyen, M. |
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Title |
Human Gamma Oscillations during Slow Wave Sleep |
Type |
Journal Article |
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Year |
2012 |
Publication |
Plos One |
Abbreviated Journal |
PLoS One |
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Volume |
7 |
Issue |
4 |
Pages |
e33477 - 14pp |
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Keywords |
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Abstract |
Neocortical local field potentials have shown that gamma oscillations occur spontaneously during slow-wave sleep (SWS). At the macroscopic EEG level in the human brain, no evidences were reported so far. In this study, by using simultaneous scalp and intracranial EEG recordings in 20 epileptic subjects, we examined gamma oscillations in cerebral cortex during SWS. We report that gamma oscillations in low (30-50 Hz) and high (60-120 Hz) frequency bands recurrently emerged in all investigated regions and their amplitudes coincided with specific phases of the cortical slow wave. In most of the cases, multiple oscillatory bursts in different frequency bands from 30 to 120 Hz were correlated with positive peaks of scalp slow waves (“IN-phase'' pattern), confirming previous animal findings. In addition, we report another gamma pattern that appears preferentially during the negative phase of the slow wave (”ANTI-phase'' pattern). This new pattern presented dominant peaks in the high gamma range and was preferentially expressed in the temporal cortex. Finally, we found that the spatial coherence between cortical sites exhibiting gamma activities was local and fell off quickly when computed between distant sites. Overall, these results provide the first human evidences that gamma oscillations can be observed in macroscopic EEG recordings during sleep. They support the concept that these high-frequency activities might be associated with phasic increases of neural activity during slow oscillations. Such patterned activity in the sleeping brain could play a role in off-line processing of cortical networks. |
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Address |
[Valderrama, Mario; Crepon, Benoit; Martinerie, Jacques; Hasboun, Dominique; Alvarado-Rojas, Catalina; Baulac, Michel; Adam, Claude; Navarro, Vincent; Le Van Quyen, Michel] Univ Paris 06, Ctr Rech Inst Cerveau & Moelle Epiniere CRICM, INSERM,UMRS 975, Hop La Pitie Salpetriere,CNRS,UMR 7225, Paris, France, Email: quyen@t-online.de |
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Corporate Author |
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Thesis |
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Publisher |
Public Library Science |
Place of Publication |
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Editor |
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Language |
English |
Summary Language |
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Original Title |
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Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1932-6203 |
ISBN |
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Medium |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000304855200013 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
1058 |
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| Permanent link to this record |
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Author |
Botella-Soler, V.; Valderrama, M.; Crepon, B.; Navarro, V.; Le Van Quyen, M. |
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Title |
Large-Scale Cortical Dynamics of Sleep Slow Waves |
Type |
Journal Article |
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Year |
2012 |
Publication |
Plos One |
Abbreviated Journal |
PLoS One |
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Volume |
7 |
Issue |
2 |
Pages |
e30757 - 10pp |
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Keywords |
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Abstract |
Slow waves constitute the main signature of sleep in the electroencephalogram (EEG). They reflect alternating periods of neuronal hyperpolarization and depolarization in cortical networks. While recent findings have demonstrated their functional role in shaping and strengthening neuronal networks, a large-scale characterization of these two processes remains elusive in the human brain. In this study, by using simultaneous scalp EEG and intracranial recordings in 10 epileptic subjects, we examined the dynamics of hyperpolarization and depolarization waves over a large extent of the human cortex. We report that both hyperpolarization and depolarization processes can occur with two different characteristic time durations which are consistent across all subjects. For both hyperpolarization and depolarization waves, their average speed over the cortex was estimated to be approximately 1 m/s. Finally, we characterized their propagation pathways by studying the preferential trajectories between most involved intracranial contacts. For both waves, although single events could begin in almost all investigated sites across the entire cortex, we found that the majority of the preferential starting locations were located in frontal regions of the brain while they had a tendency to end in posterior and temporal regions. |
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Address |
[Botella-Soler, Vicente] Univ Valencia, Dept Fis Teor, CSIC, Valencia, Spain, Email: quyen@t-online.de |
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Corporate Author |
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Thesis |
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Publisher |
Public Library Science |
Place of Publication |
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Editor |
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Language |
English |
Summary Language |
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Original Title |
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Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1932-6203 |
ISBN |
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Medium |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000302853600065 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
986 |
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| Permanent link to this record |
