Modelling and numerical synchronization of chaotic system with fractional-order operator
DOI10.1515/ijnsns-2020-0128OpenAlexW3215424063MaRDI QIDQ2698677
Publication date: 24 April 2023
Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ijnsns-2020-0128
numerical simulationschaotic systemsspectral algorithmsexponential time-differencing methodsfractional reaction-diffusion
Reaction-diffusion equations (35K57) Nonlinear systems in control theory (93C10) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- Exponential time differencing for stiff systems
- A class of explicit multistep exponential integrators for semilinear problems
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Dynamics of a new Lorenz-like chaotic system
- High order Runge-Kutta methods on manifolds
- Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
- Jacobi spectral discretization for nonlinear fractional generalized seventh-order KdV equations with convergence analysis
- High-dimensional spatial patterns in fractional reaction-diffusion system arising in biology
- Dynamics of multi-pulse splitting process in one-dimensional Gray-Scott system with fractional order operator
- Chaotic and spatiotemporal oscillations in fractional reaction-diffusion system
- Computational analysis of different pseudoplatystoma species patterns the Caputo-Fabrizio derivative
- Fourier spectral method for higher order space fractional reaction-diffusion equations
- A study on fractional Klein Gordon equation with non-local and non-singular kernel
- Hopf bifurcation analysis of the Liu system
- Shifted Jacobi collocation scheme for multidimensional time-fractional order telegraph equation
- STUDY OF GLOBALLY EXPONENTIAL SYNCHRONIZATION FOR THE FAMILY OF RÖSSLER SYSTEMS
- Period Three Implies Chaos
- YET ANOTHER CHAOTIC ATTRACTOR
- Mathematical analysis and numerical simulation of chaotic noninteger order differential systems with Riemann‐Liouville derivative
- Deterministic Nonperiodic Flow
- DYNAMICAL ANALYSIS OF A NEW CHAOTIC ATTRACTOR
- Analytical Hopf Bifurcation and Stability Analysis of T System
- Pattern formation in superdiffusion predator–prey‐like problems with integer‐ and noninteger‐order derivatives
- Numerical solutions of the improved boussinesq equation by the galerkin quadratic B-spline finite element method
- Dynamics of modified improved Boussinesq equation via Galerkin Finite Element Method
- Numerical Methods for Fractional Differentiation
- Fourth-Order Time-Stepping for Stiff PDEs
- Numerical approach to chaotic pattern formation in diffusive predator–prey system with Caputo fractional operator
