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| Content Provider | Springer Nature Link |
|---|---|
| Author | Sun, Yuanyuan Li, Peng Lu, Zhixing |
| Copyright Year | 2015 |
| Abstract | In this study, the quaternion Mandelbrot sets and Julia sets (abbreviated as M–J sets) with additive and multiplicative noise perturbations are constructed and the changes of their fractal characteristics are explored. The experimental results show that the quaternion M sets with additive noise perturbations move in the direction of the noise, while the structures remain unchanged. The quaternion J sets with additive noise perturbations change dramatically both in the structures and in the periodicities. The quaternion M sets with multiplicative noise perturbations present scaling and rotation, while the stable regions maintain the same distributions as the non-perturbed M sets. The structures and the periodicities of the J sets change under multiplicative noise perturbations, keeping different sensitivity to the noise parameters. The M sets and J sets still share the same stable points under both the additive and multiplicative noise perturbations. |
| Starting Page | 143 |
| Ending Page | 156 |
| Page Count | 14 |
| File Format | |
| ISSN | 0924090X |
| Journal | Nonlinear Dynamics |
| Volume Number | 82 |
| Issue Number | 1-2 |
| e-ISSN | 1573269X |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2015-05-24 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Generalized M sets Generalized J sets Noise perturbations Quaternion Fractal Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering |
| Content Type | Text |
| Resource Type | Article |
| Subject | Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering |
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