Stabilization of unstable trajectories in discrete and continuous fractional order dynamical systems

Stabilization of unstable trajectories in discrete and continuous fractional order dynamical systems

A novel technique that is used to stabilize unstable trajectories in nonlinear dynamical systems is presented. The con-structed technique depends on specific choice of initial conditions which is achieved by employing the notion of H-rank for the algebraic complexity evaluation of transient processe...

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Dynamical systems
Initial conditions
Nonlinear systems
Stabilization
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description A novel technique that is used to stabilize unstable trajectories in nonlinear dynamical systems is presented. The con-structed technique depends on specific choice of initial conditions which is achieved by employing the notion of H-rank for the algebraic complexity evaluation of transient processes. The efficacy of the presented stabilization technique is shown for the frac-tional difference logistic map as well as driven fractional nonlinear pendulum dissipation.
doi_str_mv 10.1063/5.0213458
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subjects Dynamical systems
Initial conditions
Nonlinear systems
Stabilization
title Stabilization of unstable trajectories in discrete and continuous fractional order dynamical systems
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