Computing unstable manifolds of periodic orbits in delay differential equations
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Publication:1873385
DOI10.1016/S0021-9991(03)00050-0zbMath1017.65102MaRDI QIDQ1873385
Publication date: 20 May 2003
Published in: Journal of Computational Physics (Search for Journal in Brave)
algorithmdelay differential equationsglobal bifurcationseigenfunctionPoincaré mapinvariant torussaddle-type periodic orbitssemiconductor laser with phase-conjugate feedbackunstable Floquet multiplierunstable manifold computation
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Uses Software
Cites Work
- Bistability and torus break-up in a semiconductor laser with phase-conjugate feedback
- An efficient method for computing invariant manifolds of planar maps
- Growing 1D and quasi-2D unstable manifolds of maps
- Introduction to functional differential equations
- Numerical computation of connecting orbits in delay differential equations
- Delay equations. Functional-, complex-, and nonlinear analysis
- Collocation Methods for the Computation of Periodic Solutions of Delay Differential Equations
- One-Parameter Semigroups for Linear Evolution Equations
- A Behavioral Approach To Delay-Differential Systems
- CALCULATING STABLE AND UNSTABLE MANIFOLDS
- Two-dimensional global manifolds of vector fields
- Globalizing Two-Dimensional Unstable Manifolds of Maps
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