Chaos and hyperchaos via secondary Neimark–Sacker bifurcation in a model of radiophysical generator
| Autor: | Elena Popova, Nataliya Stankevich, E. P. Seleznev, Alexander P. Kuznetsov |
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| Rok vydání: | 2019 |
| Předmět: |
Applied Mathematics
Mechanical Engineering Chaotic Aerospace Engineering Ocean Engineering Lyapunov exponent Invariant (physics) 01 natural sciences Nonlinear Sciences::Chaotic Dynamics symbols.namesake Computer Science::Systems and Control Control and Systems Engineering 0103 physical sciences Attractor symbols Applied mathematics Electrical and Electronic Engineering 010301 acoustics Bifurcation Mathematics |
| Zdroj: | Nonlinear Dynamics. 97:2355-2370 |
| ISSN: | 1573-269X 0924-090X |
| Popis: | Using an example of a radiophysical generator model, scenarios for the formation of various chaotic attractors are described, including chaos and hyperchaos. It is shown that as a result of a secondary Neimark–Sacker bifurcation, a hyperchaos with two positive Lyapunov exponents can occur in the system. A comparative analysis of chaotic attractors born as a result of loss of smoothness of an invariant curve, as a result of period-doubling bifurcations, and as a result of secondary Neimark–Sacker bifurcation was carried out. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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