Hopf bifurcation in parallel polarized Nd:YAG laser
| Autor: | S. Rajesh, Bindu M. Krishna, Manu P. John, V. M. Nandakumaran, M.R. Parvathi |
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| Rok vydání: | 2009 |
| Předmět: |
Equilibrium point
Hopf bifurcation General Mathematics Applied Mathematics Numerical analysis Mathematical analysis General Physics and Astronomy Statistical and Nonlinear Physics Geometry Parameter space Laser law.invention symbols.namesake law Nd:YAG laser Jacobian matrix and determinant symbols Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Chaos, Solitons & Fractals. 42:515-521 |
| ISSN: | 0960-0779 |
| Popis: | Dynamics of Nd:YAG laser with intracavity KTP crystal operating in two parallel polarized modes is investigated analytically and numerically. System equilibrium points were found out and the stability of each of them was checked using Routh–Hurwitz criteria and also by calculating the eigen values of the Jacobian. It is found that the system possesses three equilibrium points for (Ij, Gj), where j = 1, 2. One of these equilibrium points undergoes Hopf bifurcation in output dynamics as the control parameter is increased. The other two remain unstable throughout the entire region of the parameter space. Our numerical analysis of the Hopf bifurcation phenomena is found to be in good agreement with the analytical results. Nature of energy transfer between the two modes is also studied numerically. |
| Databáze: | OpenAIRE |
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