A chaos control strategy for the fractional 3D Lotka-Volterra like attractor

DOI10.1016/j.matcom.2023.04.001OpenAlexW4362663675MaRDI QIDQ6108181

P. Veeresha, Manisha Krishna Naik, Chandrali Baishya

Publication date: 29 June 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2023.04.001

zbMATH Keywords

chaossliding mode controlpredictor-corrector methodCaputo fractional derivativeLotka-Volterra like attractor

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Fractional derivatives and integrals (26A33) Chaos control for problems involving ordinary differential equations (34H10)

Related Items

Dynamical analysis of nonlinear fractional order Lorenz system with a novel design of intelligent solution predictive radial base networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Controlling fractional order chaotic systems based on Takagi-Sugeno fuzzy model and adaptive adjustment mechanism
• Circuit implementation and finite-time synchronization of the 4D Rabinovich hyperchaotic system
• Control of a class of fractional-order chaotic systems via sliding mode
• Chaos control via a simple fractional-order controller
• A class of fractional evolution equations and optimal controls
• Optimal control of fractional diffusion equation
• A novel three-dimensional autonomous chaotic system generating two, three and four-scroll attractors
• A sliding mode control for linear fractional systems with input and state delays
• Fuzzy fractional order sliding mode controller for nonlinear systems
• Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit
• Robust synchronization of perturbed Chen's fractional-order chaotic systems
• Homotopy analysis method for solving fractional Lorenz system
• A note on the fractional-order Chen system
• Sliding mode synchronization of an uncertain fractional order chaotic system
• Robust controllability of interval fractional order linear time invariant systems
• Chaos control of a fractional order modified coupled dynamos system
• Fractional calculus and its applications. Proceedings of the international conference held at the University of New Haven, June 1974
• Controlling Hopf bifurcation and chaos in a small power system
• Study on the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system. II.
• Hyperchaotic chameleon: fractional order FPGA implementation
• Chaos in Chen's system with a fractional order
• Stabilization of generalized fractional order chaotic systems using state feedback control
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Analysis of the financial chaotic model with the fractional derivative operator
• Synchronization of an uncertain fractional-order chaotic system via backstepping sliding mode control
• Chaos synchronization in fractional differential systems
• SINGLE BACKSTEPPING CONTROL INPUT OF A NOVEL 3D AUTONOMOUS CHAOTIC SYSTEM
• Dynamics of a fractional epidemiological model with disease infection in both the populations
• Dynamics of Fractional Holling Type-II Predator-Prey Model with Prey Refuge and Additional Food to Predator
• Adaptive backstepping control, synchronization and circuit simulation of a 3-D novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities
• Dynamics of a fractional plankton-fish model under the influence of toxicity, refuge, and combine-harvesting efforts