Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators
We present three examples how complex spatio-temporal patterns can be linked to hyperchaotic attractors in dynamical systems consisting of nonlinear biochemical oscillators coupled linearly with diffusion terms. The systems involved are: (a) a two-variable oscillator with two consecutive autocatalyt...
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1155/S1026022697000162 |
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| _version_ | 1832563005105111040 |
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| author | Gerold Baier Sven Sahle |
| author_facet | Gerold Baier Sven Sahle |
| author_sort | Gerold Baier |
| collection | DOAJ |
| description | We present three examples how complex spatio-temporal patterns can be linked to hyperchaotic attractors in dynamical systems consisting of nonlinear biochemical oscillators coupled linearly with diffusion terms. The systems involved are: (a) a two-variable oscillator with two consecutive autocatalytic reactions derived from the Lotka–Volterra scheme; (b) a minimal two-variable oscillator with one first-order autocatalytic reaction; (c) a three-variable oscillator with first-order feedback lacking autocatalysis. The dynamics of a finite number of coupled biochemical oscillators may account for complex patterns in compartmentalized living systems like cells or tissue, and may be tested experimentally in coupled microreactors. |
| format | Article |
| id | doaj-art-368dc99e43d549d98e16064f64d5b7bc |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-368dc99e43d549d98e16064f64d5b7bc2025-02-03T01:21:13ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1997-01-011216116710.1155/S1026022697000162Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillatorsGerold Baier0Sven Sahle1Institute for Plant Biochemistry, University of Tübingen, Tübingen D-72076, GermanyInstitute for Plant Biochemistry, University of Tübingen, Tübingen D-72076, GermanyWe present three examples how complex spatio-temporal patterns can be linked to hyperchaotic attractors in dynamical systems consisting of nonlinear biochemical oscillators coupled linearly with diffusion terms. The systems involved are: (a) a two-variable oscillator with two consecutive autocatalytic reactions derived from the Lotka–Volterra scheme; (b) a minimal two-variable oscillator with one first-order autocatalytic reaction; (c) a three-variable oscillator with first-order feedback lacking autocatalysis. The dynamics of a finite number of coupled biochemical oscillators may account for complex patterns in compartmentalized living systems like cells or tissue, and may be tested experimentally in coupled microreactors.http://dx.doi.org/10.1155/S1026022697000162Biochemical oscillationsSpatio-temporal hyperchaosComplex patternsInformation processing. |
| spellingShingle | Gerold Baier Sven Sahle Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators Discrete Dynamics in Nature and Society Biochemical oscillations Spatio-temporal hyperchaos Complex patterns Information processing. |
| title | Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators |
| title_full | Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators |
| title_fullStr | Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators |
| title_full_unstemmed | Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators |
| title_short | Spatio-temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators |
| title_sort | spatio temporal patterns with hyperchaotic dynamics in diffusively coupled biochemical oscillators |
| topic | Biochemical oscillations Spatio-temporal hyperchaos Complex patterns Information processing. |
| url | http://dx.doi.org/10.1155/S1026022697000162 |
| work_keys_str_mv | AT geroldbaier spatiotemporalpatternswithhyperchaoticdynamicsindiffusivelycoupledbiochemicaloscillators AT svensahle spatiotemporalpatternswithhyperchaoticdynamicsindiffusivelycoupledbiochemicaloscillators |