Name
Title | ||
|---|---|---|
Dynamical Effects of Offset Terms on a Modified Chua's Oscillator and Its Circuit Implementation |
Abstract | ||
|---|---|---|
This paper addresses the effects of offset terms on the dynamics of a modified Chua's oscillator. The mathematical model is derived using Kirchhoff's laws. The model is analyzed with the help of the maximal Lyapunov exponent, bifurcation diagrams, phase portraits, and basins of attraction. The investigations show that the offset terms break the symmetry of the system, generating more complex nonlinear phenomena like coexisting asymmetric bifurcations, coexisting asymmetric attractors, asymmetric double-scroll chaotic attractors and asymmetric attraction basins. Also, a hidden attractor (period-1 limit cycle) is found when varying the initial conditions. More interestingly, this latter attractor coexists with all other self-excited ones. A microcontroller-based implementation of the circuit is carried out to verify the numerical investigations. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1142/S0218127421502436 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
Chua's circuit, offset term, hidden attractor, coexisting attractors, basin of attraction, microcontroller-based implementation | Journal | 31 |
Issue | ISSN | Citations |
16 | 0218-1274 | 0 |
PageRank | References | Authors |
0.34 | 0 | 8 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Léandre Kamdjeu Kengne | 1 | 0 | 0.34 |
| Karthikeyan Rajagopal | 2 | 0 | 5.07 |
| Tsafack Nestor | 3 | 6 | 3.84 |
| Paul Didier Kamdem Kuate | 4 | 0 | 0.34 |
| Balamurali Ramakrishnan | 5 | 0 | 1.69 |
| Jacques Kengne | 6 | 0 | 0.34 |
| Hilaire Bertrand Fotsin | 7 | 6 | 4.81 |
| Justin Roger Mboupda Pone | 8 | 0 | 0.34 |