Intrinsic fluctuation of Chua system. (English) Zbl 1077.92051
Summary: Intrinsic fluctuations of Chua systems are studied with master equation methods. Our results have shown that the intrinsic noise indeed exerted considerable influence on Chua systems. In contrast to that of deterministic equations the patterns of time evolution and attractors have been greatly altered under the influence of intrinsic noise.
MSC:
| 92E20 | Classical flows, reactions, etc. in chemistry |
| 93A99 | General systems theory |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 94C05 | Analytic circuit theory |
| 92B05 | General biology and biomathematics |
References:
| [1] | Chua L. O., Arch. Electron. Übertragungst. 46 pp 250– |
| [2] | DOI: 10.1103/PhysRevLett.64.249 · Zbl 1050.82539 · doi:10.1103/PhysRevLett.64.249 |
| [3] | DOI: 10.1103/PhysRevLett.56.1505 · doi:10.1103/PhysRevLett.56.1505 |
| [4] | DOI: 10.1063/1.465566 · doi:10.1063/1.465566 |
| [5] | DOI: 10.1063/1.472032 · doi:10.1063/1.472032 |
| [6] | DOI: 10.1021/j100540a008 · doi:10.1021/j100540a008 |
| [7] | Gillespie D. T., Physica 188 pp 404– · doi:10.1016/0378-4371(92)90283-V |
| [8] | Kawczynski A. L., J. Phys. Chem. 102 pp 7113– · doi:10.1021/jp9807118 |
| [9] | DOI: 10.1142/S0218127402004760 · doi:10.1142/S0218127402004760 |
| [10] | DOI: 10.1142/9789812798855_0004 · doi:10.1142/9789812798855_0004 |
| [11] | DOI: 10.1063/1.468892 · doi:10.1063/1.468892 |
| [12] | Nicolis G., Self-Organization in Nonequilibrium Systems (1977) · Zbl 0363.93005 |
| [13] | Nicolis G., Phys. Rev. 46 pp 3569– · doi:10.1103/PhysRevA.46.3569 |
| [14] | Peeters P., Physica 188 pp 426– · doi:10.1016/0378-4371(92)90284-W |
| [15] | DOI: 10.1021/j100376a014 · doi:10.1021/j100376a014 |
| [16] | DOI: 10.1142/S0218127496001594 · Zbl 1298.94158 · doi:10.1142/S0218127496001594 |
| [17] | Poland D., Physica 65 pp 86– |
| [18] | DOI: 10.1063/1.455970 · doi:10.1063/1.455970 |
| [19] | Wang H., J. Chem. Phys. 107 pp 6681– |
| [20] | DOI: 10.1063/1.476189 · doi:10.1063/1.476189 |
| [21] | Willamowski K. D., Z. Naturforsch 35 pp 317– |
| [22] | DOI: 10.1103/PhysRevLett.70.1940 · doi:10.1103/PhysRevLett.70.1940 |
| [23] | DOI: 10.1063/1.467239 · doi:10.1063/1.467239 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
