Nonexistence of invariant manifolds in fractional-order dynamical systems (Q6117156)

scientific article; zbMATH DE number 7728011

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English	Nonexistence of invariant manifolds in fractional-order dynamical systems	scientific article; zbMATH DE number 7728011

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instance of

scholarly article

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title

Nonexistence of invariant manifolds in fractional-order dynamical systems (English)

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16 August 2023

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full work available at URL

https://arxiv.org/abs/1912.09668

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zbMATH Keywords

invariant manifold

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separatrix

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stability

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tangency condition

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Caputo fractional derivative

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MaRDI profile type

MaRDI publication profile

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Applications of chaos and nonlinear dynamics in engineering. Volume 1.

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Applications of dynamical systems in biology and medicine. Based on the presentations at the 1st IMA's Women in Applied Mathematics (WhAM!), research collaboration conference on dynamical systems with applications to biology and medicine, Minneapolis, MN, USA, September 9--13, 2013

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Q2817906

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Chaos

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Introduction to Applied Nonlinear Dynamical Systems and Chaos

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Delay differential equations: with applications in population dynamics

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Nonlinear dynamics in economics and social sciences. Proceedings of the second informal workshop held at the Certosa di Pontignano, Siena, Italy, May 27-30, 1991

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The stable, center-stable, center, center-unstable, unstable manifolds

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Invariant manifold templates for chaotic advection

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An invariant-manifold-based method for chaos control

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Invariant Manifold Based Reduced-Order Observer Design for Nonlinear Systems

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The invariant manifold approach applied to nonlinear dynamics of a rotor-bearing system

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Invariant manifold methods for metabolic model reduction

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Fractional Derivatives of Imaginary Order

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The fractional calculus. Theory and applications of differentiation and integration to arbitrary order

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Q3141895

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Fractional integration and differentiation of variable order

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Q4661745

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The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type

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Functional Fractional Calculus

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Q2735592

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Advances in Fractional Calculus

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New Trends in Nanotechnology and Fractional Calculus Applications

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Q5190149

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Fractional-order systems and controls. Fundamentals and applications

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Existence and uniqueness for a nonlinear fractional differential equation

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Analysis of a system of nonautonomous fractional differential equations involving Caputo derivatives

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Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative

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Stability analysis of linear fractional differential system with multiple time delays

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Stability and bifurcation analysis of a generalized scalar delay differential equation

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A predictor-corrector approach for the numerical solution of fractional differential equations

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A new predictor-corrector method for fractional differential equations

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A new finite-difference predictor-corrector method for fractional differential equations

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A new family of predictor-corrector methods for solving fractional differential equations

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On stable manifolds for planar fractional differential equations

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Successive approximation: a survey on stable manifold of fractional differential systems

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On stable manifolds for fractional differential equations in high-dimensional spaces

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Center stable manifold for planar fractional damped equations

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Singular points in the solution trajectories of fractional order dynamical systems

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Analysis of intersections of trajectories of systems of linear fractional differential equations

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Nonlinear dynamics and chaos in fractional-order neural networks

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Can we split fractional derivative while analyzing fractional differential equations?

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An operational method for solving fractional differential equations with the Caputo derivatives

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Separatrix and Limit Cycles of Quadratic Systems and Dulac's Theorem

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Q4715040

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On the number of invariant lines for polynomial vector fields

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On the number of invariant straight lines for polynomial differential systems

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Identifiers

zbMATH Open document ID

1517.34003

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arXiv ID

1912.09668

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Mathematics Subject Classification ID

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10.1007/S11071-020-06073-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:6117156