An applicatin of approximate inertial manifolds to a weakly damped nonlinear schrödinger equation
| Autor: | M. S. Jolly, R. Temam, C. Xiong |
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| Rok vydání: | 1995 |
| Předmět: |
Control and Optimization
Mathematical analysis Chaotic Lyapunov exponent Computer Science Applications Schrödinger equation Nonlinear Sciences::Chaotic Dynamics symbols.namesake Nonlinear system Signal Processing Attractor symbols Dissipative system Galerkin method Nonlinear Schrödinger equation Analysis Mathematics |
| Zdroj: | Numerical Functional Analysis and Optimization. 16:923-937 |
| ISSN: | 1532-2467 0163-0563 |
| DOI: | 10.1080/01630569508816653 |
| Popis: | Nonlinear Galerkin methods (NGMs) based on pproximate inertial manifolds are applied to a weakly dissipative nonlinear Schrodinger equation. The purpose is to capture critical and chaotic behavior with as few modes as possible. Density functions are used on both the energy and instantaneous Lyapunov exponents to determine convergence of a chaotic attractor as the number of modes is increased. The computations presented here indicate a substantial reduction in the number of modes needed for the NGMs, compared to that needed for the traditional Galerkin method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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