Dynamics, chaos control, and synchronization in a fractional-order Samardzija-Greller population system with order lying in \((0,2)\)
type: Item
instance of: scholarly article
title: Dynamics, chaos control, and synchronization in a fractional-order Samardzija-Greller population system with order lying in \((0,2)\)
zbMATH Open document ID: 1405.37036
DOI: 10.1155/2018/6719341
author: Y. Aharonov
published in: Complexity
publication date: 2018-12-17T00:00:00Z
review text: Summary: This paper demonstrates dynamics, chaos control, and synchronization in Samardzija-Greller population model with fractional order between zero and two. The fractional-order case is shown to exhibit rich variety of nonlinear dynamics. Lyapunov exponents are calculated to confirm the existence of wide range of chaotic dynamics in this system. Chaos control in this model is achieved via a novel linear control technique with the fractional order lying in \((1,2)\). Moreover, a linear feedback control method is used to control the fractional-order model to its steady states when \(0 < \alpha < 2\). In addition, the obtained results illustrate the role of fractional parameter on controlling chaos in this model. Furthermore, nonlinear feedback synchronization scheme is also employed to illustrate that the fractional parameter has a stabilizing role on the synchronization process in this system. The analytical results are confirmed by numerical simulations.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34C28
zbMATH DE Number: 6994118
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6719341
OpenAlex ID: W2891272857
cites work: Dynamics analysis of the fast-slow hydro-turbine governing system with different time-scale coupling
cites work: Dynamical behaviors and synchronization in the fractional order hyperchaotic Chen system
cites work: The dynamic complexity of a three species food chain model
cites work: Dynamic analysis of a fractional order prey-predator interaction with harvesting
cites work: Dynamical analysis, stabilization and discretization of a chaotic fractional-order GLV model
cites work: Deterministic Nonperiodic Flow
cites work: Adaptive synchronization of Chua's circuits with fully unknown parameters
cites work: Bifurcations, chaos and synchronization in ADVP circuit with parallel resistor
cites work: Chaos control and synchronization via switched output control strategy
cites work: Q4233638
cites work: Q5014955
cites work: Achieving synchronization between the fractional-order hyperchaotic novel and Chen systems via a new nonlinear control technique
cites work: Dynamical behaviors, circuit realization, chaos control, and synchronization of a new fractional order hyperchaotic system
cites work: Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit
cites work: Applications of fractional calculus in physics
cites work: Dynamical behaviors of fractional-order Lotka-Volterra predator-prey model and its discretization
cites work: Dynamical behavior of fractional-order Hastings-powell food chain model and its discretization
cites work: Dynamical Analysis and Circuit Simulation of a New Fractional-Order Hyperchaotic System and Its Discretization
cites work: Controlling chaos
cites work: Synchronization in chaotic systems
cites work: Explosive route to chaos through a fractal torus in a generalized Lotka- Volterra model
cites work: Q4585706
cites work: Stability conditions, hyperchaos and control in a novel fractional order hyperchaotic system
cites work: A proof for non existence of periodic solutions in time invariant fractional order systems
cites work: Determining Lyapunov exponents from a time series
Wikidata QID: Q129323223
description: scientific article; zbMATH DE number 6994118