Strange fractal attractors and optimal chaos of memristor-memcapacitor via non-local differentials
DOI10.1007/s12346-023-00849-1zbMath1525.34070OpenAlexW4386052083MaRDI QIDQ6096409
Abdon Atangana, Kashif Ali Abro, Ambreen Siyal
Publication date: 12 September 2023
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-023-00849-1
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Discrete version of topics in analysis (39A12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Fractional ordinary differential equations (34A08) Applications of difference equations (39A60) Chaotic behavior of solutions of difference equations (39A33) Circuits in qualitative investigation and simulation of models (94C60)
Cites Work
- Anomalous diffusion modeling by fractal and fractional derivatives
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel
- Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system
- Fractional derivatives with no-index law property: application to chaos and statistics
- Fractional order memristor no equilibrium chaotic system with its adaptive sliding mode synchronization and genetically optimized fractional order PID synchronization
- Modeling the heat flow equation with fractional-fractal differentiation
- Numerical analysis of a new Volterra integro-differential equation involving fractal-fractional operators
- A fractional numerical study on a chronic hepatitis C virus infection model with immune response
- Chaos and multiple attractors in a fractal-fractional Shinriki's oscillator model
- A fractional model of vertical transmission and cure of vector-borne diseases pertaining to the Atangana-Baleanu fractional derivatives
- Validity of fractal derivative to capturing chaotic attractors
- Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative
- A memristive chaotic system with heart-shaped attractors and its implementation
- Device modeling via nonlinear circuit elements
- New numerical approach for fractional differential equations
- Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods
- Mathematical analysis of memristor through fractal‐fractional differential operators: A numerical study
- Numerical study and chaotic oscillations for aerodynamic model of wind turbine via fractal and fractional differential operators
