A general fractional-order dynamical network: Synchronization behavior and state tuning
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Publication:2787743
DOI10.1063/1.3701726zbMath1331.34015OpenAlexW1982592680WikidataQ51347904 ScholiaQ51347904MaRDI QIDQ2787743
Publication date: 4 March 2016
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3701726
Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Fractional ordinary differential equations (34A08) Synchronization of solutions to ordinary differential equations (34D06)
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Cites Work
- Unnamed Item
- Unnamed Item
- Synchronization of N-coupled incommensurate fractional-order chaotic systems with ring connection
- Existence of solutions of initial value problems for nonlinear fractional differential equations on the half-axis
- On fractional powers of generators of fractional resolvent families
- A necessary condition for double scroll attractor existence in fractional-order systems
- Synchronization in coupled nonidentical incommensurate fractional-order systems
- Stability analysis of linear fractional differential system with multiple time delays
- Chaotic attractors in incommensurate fractional order systems
- Structure identification of uncertain general complex dynamical networks with time delay
- Mittag-Leffler stability of fractional order nonlinear dynamic systems
- Numerical algorithm based on Adomian decomposition for fractional differential equations
- Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations
- On the fractional Adams method
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- The problem of the initial conditions and their physical meaning in linear differential equations of fractional order.
- Controlling the Lorenz system: combining global and local schemes.
- Detailed error analysis for a fractional Adams method
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Cauchy problem for fractional diffusion equations
- Multi-order fractional differential equations and their numerical solution
- Principles of brain functioning. A synergetic approach to brain activity, behavior and cognition
- An equation for continuous chaos
- Complex networks: structure and dynamics
- Network synchronization in a population of star-coupled fractional nonlinear oscillators
- Numerical algorithm for the time fractional Fokker-Planck equation
- Synchronization in fractional-order differential systems
- On linear stability of predictor–corrector algorithms for fractional differential equations
- Emergence of Scaling in Random Networks
- Brownian subordinators and fractional Cauchy problems
- The Structure and Function of Complex Networks
- Overview of coupled map lattices
- Characterizing the Synchronizability of Small-World Dynamical Networks
- Convergence speed of a fractional order consensus algorithm over undirected scale‐free networks
- Schauder estimates for equationswith fractional derivatives
- Synchronization in chaotic systems
- Pinning control of fractional-order weighted complex networks
- Adaptive Synchronization of an Uncertain Complex Dynamical Network
- SYNCHRONIZATION OF CHAOTIC FRACTIONAL-ORDER SYSTEMS VIA LINEAR CONTROL
- Synchronization and desynchronization of complex dynamical networks: an engineering viewpoint
- Collective dynamics of ‘small-world’ networks
- Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives