Dynamic properties of the fractional-order logistic equation of complex variables
DOI10.1155/2012/251715zbMath1246.37074OpenAlexW2170262987WikidataQ58696128 ScholiaQ58696128MaRDI QIDQ448645
E. Ahmed, Hala A. A. El-Saka, Ahmed M. A. El-Sayed
Publication date: 7 September 2012
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/251715
equilibrium pointsglobal stabilitylocal stabilitychaos synchronizationchaos and bifurcationsfractional-order logistic equations in complex variables
Fractional derivatives and integrals (26A33) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Approximation methods and numerical treatment of dynamical systems (37M99) Dynamical systems over complex numbers (37F99) Synchronization of solutions to ordinary differential equations (34D06)
Related Items (8)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Numerical solution for multi-term fractional (arbitrary) orders differential equations
- Dynamical properties and chaos synchronization of a new chaotic complex nonlinear system
- Chaos synchronization of two different chaotic complex Chen and Lü systems
- On stability, persistence, and Hopf bifurcation in fractional order dynamical systems
- Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
- On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- The real and complex Lorenz equations in rotating fluids and lasers
- Functional analysis in modern applied mathematics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fractional dynamics in calcium oscillation model
- Numerical methods for multi-term fractional (arbitrary) orders differential equations
- On the fractional-order logistic equation
- On a complex Duffing system with random excitation
- On chaos synchronization of a complex two coupled dynamos system
- Global stability properties of the complex Lorenz model
- NUMERICAL SOLUTION FOR THE FRACTIONAL REPLICATOR EQUATION
This page was built for publication: Dynamic properties of the fractional-order logistic equation of complex variables