Approximate solutions of Maxwell Bloch equations and possible Lotka Volterra type behavior
| Autor: | Orhan Ozgur Aybar, Avadis Hacinliyan, I. Kusbeyzi |
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| Rok vydání: | 2010 |
| Předmět: |
Special solution
Applied Mathematics Mechanical Engineering Lotka–Volterra equations Mathematical analysis Chaotic Aerospace Engineering Ocean Engineering Type (model theory) Volterra integral equation Stability (probability) symbols.namesake Control and Systems Engineering Bloch equations symbols Maxwell-Bloch equations Electrical and Electronic Engineering Mathematics |
| Zdroj: | Nonlinear Dynamics. 62:17-26 |
| ISSN: | 1573-269X 0924-090X |
| DOI: | 10.1007/s11071-010-9695-5 |
| Popis: | Dynamical properties of laser models based on the Maxwell Bloch equation are studied. Instances of stability and chaotic behavior are investigated. Special solutions of the system one of which reduces to the Lotka Volterra system under simplifying assumptions are derived. Reasons for the absence of oscillating solutions in the modified systems are studied. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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