Chaotic synchronization : applications to living systems /
Main Author: | |
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Other Authors: | , , , , |
Format: | Book |
Language: | English |
Published: |
River Edge, NJ :
World Scientific,
c2002
Singapore ; River Edge, NJ : 2002 Singapore ; River Edge, NJ : c2002 Singapore ; River Edge, NJ : [2002] |
Series: | World Scientific series on nonlinear science Monographs and treatises ;
v. 42. World Scientific series on nonlinear science Monographs and treatises ; v. 42. World Scientific series on nonlinear science Monographs and treatises v. 42. |
Subjects: |
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100 | 1 | |a Mosekilde, Erik |0 http://viaf.org/viaf/sourceID/LC|n91064931 | |
100 | 1 | |a Mosekilde, Erik |1 http://viaf.org/viaf/64254522 | |
100 | 1 | |a Mosekilde, Erik | |
245 | 1 | 0 | |a Chaotic synchronization : |b applications to living systems / |c Erik Mosekilde, Yuri Maistrenko, Dmitry Postnov |
260 | |a River Edge, NJ : |b World Scientific, |c c2002 | ||
260 | |a Singapore ; |a River Edge, NJ : |b World Scientific, |c 2002 | ||
260 | |a Singapore ; |a River Edge, NJ : |b World Scientific, |c c2002 | ||
264 | 1 | |a Singapore ; |a River Edge, NJ : |b World Scientific, |c [2002] | |
264 | 4 | |c ©2002 | |
300 | |a xi, 428 p. : |b ill. ; |c 23 cm | ||
300 | |a xi, 428 pages : |b illustrations ; |c 23 cm | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a unmediated |b n |2 rdamedia | ||
338 | |a volume |b nc |2 rdacarrier | ||
490 | 1 | |a World Scientific series on nonlinear science ; |v Series A, v. 42 | |
490 | 1 | |a World Scientific series on nonlinear science. Series A ; |v v. 42 | |
500 | |a This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |5 CTY | ||
504 | |a Includes bibliographical references and index | ||
504 | |a Includes bibliographies and index | ||
505 | 0 | 0 | |g 1 |t Coupled Nonlinear Oscillators -- |g 2. |t Transverse Stability of Coupled Maps -- |g 3. |t Unfolding the Riddling Bifurcation -- |g 4. |t Time-Continuous Systems -- |g 5. |t Coupled Pancreatic Cells -- |g 6. |t Chaotic Phase Synchronization -- |g 7. |t Population Dynamic Systems -- |g 8. |t Clustering of Globally Coupled Maps -- |g 9. |t Interacting Nephrons -- |g 10. |t Coherence Resonance Oscillators. |
505 | 0 | 0 | |g 1 |t Coupled Nonlinear Oscillators |g 1 -- |g 1.1 |t The Role of Synchronization |g 1 -- |g 1.2 |t Synchronization Measures |g 7 -- |g 1.3 |t Mode-Locking of Endogenous Economic Cycles |g 13 -- |g 2 |t Transverse Stability of Coupled Maps |g 33 -- |g 2.1 |t Riddling, Bubbling, and On-Off Intermittency |g 33 -- |g 2.2 |t Weak Stability of the Synchronized Chaotic State |g 37 -- |g 2.3 |t Formation of Riddled Basins of Attraction |g 41 -- |g 2.4 |t Destabilization of Low-Periodic Orbits |g 44 -- |g 2.5 |t Different Riddling Scenarios |g 49 -- |g 2.6 |t Intermingled Basins of Attraction |g 54 -- |g 2.7 |t Partial Synchronization for Three Coupled Maps |g 56 -- |g 3 |t Unfolding the Riddling Bifurcation |g 75 -- |g 3.1 |t Locally and Globally Riddled Basins of Attraction |g 75 -- |g 3.2 |t Conditions for Soft and Hard Riddling |g 80 -- |g 3.3 |t Example of a Soft Riddling Bifurcation |g 88 -- |g 3.4 |t Example of a Hard Riddling Bifurcation |g 93 -- |g 3.5 |t Destabilization Scenario for a = a[subscript 1] |g 95 -- |g 3.6 |t Coupled Intermittency-III Maps |g 104 -- |g 3.7 |t The Contact Bifurcation |g 109 -- |g 4 |t Time-Continuous Systems |g 123 -- |g 4.1 |t Two Coupled Rossler Oscillators |g 123 -- |g 4.2 |t Transverse Destabilization of Low-Periodic Orbits |g 125 -- |g 4.3 |t Riddled Basins |g 130 -- |g 4.4 |t Bifurcation Scenarios for Asynchronous Cycles |g 134 -- |g 4.5 |t The Role of a Small Parameter Mismatch |g 140 -- |g 4.6 |t Influence of Asymmetries in the Coupled System |g 145 -- |g 4.7 |t Transverse Stability of the Equilibrium Point |g 147 -- |g 4.8 |t Partial Synchronization of Coupled Oscillators |g 154 -- |g 4.9 |t Clustering in a System of Four Coupled Oscillators |g 162 -- |g 4.10 |t Arrays of Coupled Rossler Oscillators |g 166 -- |g 5 |t Coupled Pancreatic Cells |g 177 -- |g 5.1 |t The Insulin Producing Beta-Cells |g 177 -- |g 5.2 |t The Bursting Cell Model |g 181 -- |g 5.3 |t Bifurcation Diagrams for the Cell Model |g 185 -- |g 5.4 |t Coupled Chaotically Spiking Cells |g 192 -- |g 5.5 |t Locally Riddled Basins of Attraction |g 196 -- |g 5.6 |t Globally Riddled Basins of Attraction |g 200 -- |g 5.7 |t Effects of Cell Inhomogeneities |g 203 -- |g 6 |t Chaotic Phase Synchronization |g 211 -- |g 6.1 |t Signatures of Phase Synchronization |g 211 -- |g 6.2 |t Bifurcational Analysis |g 217 -- |g 6.3 |t Role of Multistability |g 222 -- |g 6.4 |t Mapping Approach to Multistability |g 227 -- |g 6.5 |t Suppression of the Natural Dynamics |g 233 -- |g 6.6 |t Chaotic Hierarchy in High Dimensions |g 239 -- |g 6.7 |t A Route to High-Order Chaos |g 249 -- |g 7 |t Population Dynamic Systems |g 259 -- |g 7.1 |t A System of Cascaded Microbiological Reactors |g 259 -- |g 7.2 |t The Microbiological Oscillator |g 262 -- |g 7.3 |t Nonautonomous Single-Pool System |g 265 -- |g 7.4 |t Cascaded Two-Pool System |g 270 -- |g 7.5 |t Homoclinic Synchronization Mechanism |g 274 -- |g 7.6 |t One-Dimensional Array of Population Pools |g 280 -- |g 8 |t Clustering of Globally Coupled Maps |g 291 -- |g 8.1 |t Ensembles of Coupled Chaotic Oscillators |g 291 -- |g 8.2 |t The Transcritical Riddling Bifurcation |g 296 -- |g 8.3 |t Global Dynamics after a Transcritical Riddling |g 302 -- |g 8.4 |t Riddling and Blowout Scenarios |g 307 -- |g 8.5 |t Influence of a Parameter Mismatch |g 313 -- |g 8.6 |t Stability of K-Cluster States |g 318 -- |g 8.7 |t Desynchronization of the Coherent Chaotic State |g 321 -- |g 8.8 |t Formation of Nearly Symmetric Clusters |g 326 -- |g 8.9 |t Transverse Stability of Chaotic Clusters |g 329 -- |g 8.10 |t Strongly Asymmetric Two-Cluster Dynamics |g 334 -- |g 9 |t Interacting Nephrons |g 349 -- |g 9.1 |t Kidney Pressure and Flow Regulation |g 349 -- |g 9.2 |t Single-Nephron Model |g 354 -- |g 9.3 |t Bifurcation Structure of the Single-Nephron Model |g 359 -- |g 9.4 |t Coupled Nephrons |g 365 -- |g 9.5 |t Experimental Results |g 370 -- |g 9.6 |t Phase Multistability |g 375 -- |g 9.7 |t Transition to Synchronous Chaotic Behavior |g 382 -- |g 10 |t Coherence Resonance Oscillators |g 395 -- |g 10.1 |t But What about the Noise? |g 395 -- |g 10.2 |t Coherence Resonance |g 400 -- |g 10.3 |t Mutual Synchronization |g 404 -- |g 10.4 |t Forced Synchronization |g 408 -- |g 10.5 |t Clustering of Noise-Induced Oscillations |g 412 |
596 | |a 31 | ||
650 | 0 | |a Chaotic behavior in systems | |
650 | 0 | |a Chaotic synchronization | |
650 | 0 | |a Synchronization | |
650 | 7 | |a Chaotic behavior in systems |2 fast | |
650 | 7 | |a Synchronization |2 fast | |
700 | 1 | |a Maĭstrenko, I͡U. L |q (I͡Uriĭ Leonidovich) |1 http://viaf.org/viaf/59226602 | |
700 | 1 | |a Maĭstrenko, I͡U. L |q (I͡Uriĭ Leonidovich) | |
700 | 1 | |a Maĭstrenko, I︠U︡. L |q (I︠U︡riĭ Leonidovich) | |
700 | 1 | |a Maĭstrenko, I͡U. L |q (I͡Uriĭ Leonidovich) |0 http://viaf.org/viaf/sourceID/LC|n86063741 | |
700 | 1 | |a Maĭstrenko, I͡U. L |q (I͡Uriĭ Leonidovich) | |
700 | 1 | |a Maĭstrenko, I︠U︡. L |q (I︠U︡riĭ Leonidovich) | |
700 | 1 | |a Postnov, Dmitry |0 http://viaf.org/viaf/sourceID/LC|no2002075511 | |
700 | 1 | |a Postnov, Dmitry |1 http://viaf.org/viaf/7635677 | |
700 | 1 | |a Postnov, Dmitry | |
830 | 0 | |a World Scientific series on nonlinear science |n Series A, |p Monographs and treatises ; |v v. 42. |0 http://viaf.org/viaf/sourceID/LC|no94008495 | |
830 | 0 | |a World Scientific series on nonlinear science |n Series A, |p Monographs and treatises ; |v v. 42. | |
830 | 0 | |a World Scientific series on nonlinear science |n Series A, |p Monographs and treatises |v v. 42. | |
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