Local stable manifold theorem for fractional systems

DOI10.1007/s11071-015-2492-4zbMath1353.35304OpenAlexW2285773360MaRDI QIDQ335771

Amey Deshpande, Varsha Daftardar-Gejji

Publication date: 2 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2492-4

zbMATH Keywords

Mittag-Leffler functionstability analysisasymptotic analysisCaputo derivativestable manifold theoremfractional dynamical systems

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25) Fractional partial differential equations (35R11)

Related Items (8)

On stable manifolds for fractional differential equations in high-dimensional spaces ⋮ Erratum to: ``Local stable manifold theorem for fractional systems ⋮ On Hopf bifurcation in fractional dynamical systems ⋮ Fractional-order periodic maps: stability analysis and application to the periodic-2 limit cycles in the nonlinear systems ⋮ Nonexistence of invariant manifolds in fractional-order dynamical systems ⋮ A robust computational framework for analyzing fractional dynamical systems ⋮ Approximations of stable manifolds in the vicinity of hyperbolic equilibrium points for fractional differential equations ⋮ ON FRACTIONAL ORDER MAPS AND THEIR SYNCHRONIZATION

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