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Local stable manifold theorem for fractional systems
- Source :
- Nonlinear Dynamics. 83:2435-2452
- Publication Year :
- 2015
- Publisher :
- Springer Science and Business Media LLC, 2015.
-
Abstract
- In this paper we prove existence of local stable manifold around a hyperbolic equilibrium point of a fractional system. We illustrate this result with an example and plot corresponding local stable manifold.
- Subjects :
- Applied Mathematics
Mechanical Engineering
Invariant manifold
Mathematical analysis
Aerospace Engineering
Periodic point
Ocean Engineering
Stable manifold theorem
Mathematics::Geometric Topology
01 natural sciences
Pseudo-Riemannian manifold
Stable manifold
symbols.namesake
Control and Systems Engineering
0103 physical sciences
symbols
Mathematics::Differential Geometry
Homoclinic orbit
Electrical and Electronic Engineering
Complex manifold
010306 general physics
Mathematics::Symplectic Geometry
010301 acoustics
Center manifold
Mathematics
Subjects
Details
- ISSN :
- 1573269X and 0924090X
- Volume :
- 83
- Database :
- OpenAIRE
- Journal :
- Nonlinear Dynamics
- Accession number :
- edsair.doi...........7ae551cd1eea202d8bb2f3ccd0e3ee31
- Full Text :
- https://doi.org/10.1007/s11071-015-2492-4