Singular points in the solution trajectories of fractional order dynamical systems
From MaRDI portal
Publication:4560291
DOI10.1063/1.5054630zbMath1403.37031arXiv1807.07731OpenAlexW2888799217WikidataQ90005555 ScholiaQ90005555MaRDI QIDQ4560291
Sachin Bhalekar, Madhuri Patil
Publication date: 10 December 2018
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.07731
Fractional derivatives and integrals (26A33) Dynamics induced by flows and semiflows (37C10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fractional ordinary differential equations (34A08)
Related Items
Trajectories and singular points of two-dimensional fractional-order autonomous 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, Can we split fractional derivative while analyzing fractional differential equations?, A physical interpretation of fractional-order-derivatives in a jerk system: electronic approach
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Distribution of roots of Mittag-Leffler functions
- Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions
- Chaos in a fractional-order Rössler system
- Stability analysis of fractional differential system with Riemann-Liouville derivative
- Recent history of fractional calculus
- Stability analysis of linear fractional differential system with multiple time delays
- Chaotic attractors in incommensurate fractional order systems
- Chaos in fractional ordered Liu system
- Analytic study on linear systems of fractional differential equations
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- A note on the stability of fractional order systems
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- An operational method for solving fractional differential equations with the Caputo derivatives
- Chaos in the fractional order Chen system and its control
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Existence of positive solutions of nonlinear fractional differential equations
- Nonasymptotic properties of roots of a Mittag-Leffler type function
- Nonlinear dynamics and chaos in fractional-order neural networks
- Chaotic motion in forced Duffing system subject to linear and nonlinear damping
- Elements of Differential Topology
- Functional Fractional Calculus
- Stability properties for generalized fractional differential systems
- On the fractional Eulerian numbers and equivalence of maps with long term power-law memory (integral Volterra equations of the second kind) to Grünvald-Letnikov fractional difference (differential) equations
- Stability and bifurcation analysis of a generalized scalar delay differential equation
- Chaos in the fractional-order Lorenz system
- A New Approach to Generalized Fractional Derivatives
- Special Functions for Applied Scientists
- Mittag-Leffler Functions, Related Topics and Applications
- Chaos
- Analysis of fractional differential equations
