An Innovative Way to Generate Hamiltonian Energy of a New Hyperchaotic Complex Nonlinear Model and Its Control
We are implementing a new Rabinovich hyperchaotic structure with complex variables in this research. This modern system is a real, autonomous hyperchaotic, and 8-dimensional continuous structure. Some of the characteristics of this system, as well as for invariance, dissipation, balance, and stabili...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/6690955 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547025094180864 |
|---|---|
| author | Kholod M. Abualnaja |
| author_facet | Kholod M. Abualnaja |
| author_sort | Kholod M. Abualnaja |
| collection | DOAJ |
| description | We are implementing a new Rabinovich hyperchaotic structure with complex variables in this research. This modern system is a real, autonomous hyperchaotic, and 8-dimensional continuous structure. Some of the characteristics of this system, as well as for invariance, dissipation, balance, and stability, are technically analyzed. Some other properties are also studied numerically, such as Lyapunov exponents, Lyapunov dimension, bifurcation diagrams, and chaotic actions. Hamiltonian energy is being studied and applying by using the innovative method. Via active control method, we inhibit our system’s hyperchaotic behavior. The new system’s hyperchaotic solutions are transformed into its unstable, trivial fixed point. The validity of the findings obtained is illustrated by an example of numerics and reenactment. Numerical results are plotted to display the variables of the state after and before the control to demonstrate that the control is being achieved. |
| format | Article |
| id | doaj-art-9096a024ad2542b8b0e9f1cb813456b4 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-9096a024ad2542b8b0e9f1cb813456b42025-02-03T06:46:21ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/66909556690955An Innovative Way to Generate Hamiltonian Energy of a New Hyperchaotic Complex Nonlinear Model and Its ControlKholod M. Abualnaja0Department of Mathematics, Faculty of Applied Science, Umm Al-Qura University, P. O. Box 14949, Makkah, Saudi ArabiaWe are implementing a new Rabinovich hyperchaotic structure with complex variables in this research. This modern system is a real, autonomous hyperchaotic, and 8-dimensional continuous structure. Some of the characteristics of this system, as well as for invariance, dissipation, balance, and stability, are technically analyzed. Some other properties are also studied numerically, such as Lyapunov exponents, Lyapunov dimension, bifurcation diagrams, and chaotic actions. Hamiltonian energy is being studied and applying by using the innovative method. Via active control method, we inhibit our system’s hyperchaotic behavior. The new system’s hyperchaotic solutions are transformed into its unstable, trivial fixed point. The validity of the findings obtained is illustrated by an example of numerics and reenactment. Numerical results are plotted to display the variables of the state after and before the control to demonstrate that the control is being achieved.http://dx.doi.org/10.1155/2020/6690955 |
| spellingShingle | Kholod M. Abualnaja An Innovative Way to Generate Hamiltonian Energy of a New Hyperchaotic Complex Nonlinear Model and Its Control Complexity |
| title | An Innovative Way to Generate Hamiltonian Energy of a New Hyperchaotic Complex Nonlinear Model and Its Control |
| title_full | An Innovative Way to Generate Hamiltonian Energy of a New Hyperchaotic Complex Nonlinear Model and Its Control |
| title_fullStr | An Innovative Way to Generate Hamiltonian Energy of a New Hyperchaotic Complex Nonlinear Model and Its Control |
| title_full_unstemmed | An Innovative Way to Generate Hamiltonian Energy of a New Hyperchaotic Complex Nonlinear Model and Its Control |
| title_short | An Innovative Way to Generate Hamiltonian Energy of a New Hyperchaotic Complex Nonlinear Model and Its Control |
| title_sort | innovative way to generate hamiltonian energy of a new hyperchaotic complex nonlinear model and its control |
| url | http://dx.doi.org/10.1155/2020/6690955 |
| work_keys_str_mv | AT kholodmabualnaja aninnovativewaytogeneratehamiltonianenergyofanewhyperchaoticcomplexnonlinearmodelanditscontrol AT kholodmabualnaja innovativewaytogeneratehamiltonianenergyofanewhyperchaoticcomplexnonlinearmodelanditscontrol |