How does the fractional derivative change the complexity of the Caputo standard fractional map
type: Item
instance of: scholarly article
title: How does the fractional derivative change the complexity of the Caputo standard fractional map
zbMATH Open document ID: 1546.37066
author: Ugne Orinaite
author: Q6549232
author: Tadas Telksnys
author: Minvydas Ragulskis
published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
publication date: 2024-09-20T00:00:00Z
Mathematics Subject Classification ID: 37E30
Mathematics Subject Classification ID: 37E05
Mathematics Subject Classification ID: 37E10
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7916710
zbMATH Keywords: fractional standard map
zbMATH Keywords: system complexity
zbMATH Keywords: fractional dynamics
zbMATH Keywords: Wada index
MaRDI profile type: Publication
cites work: Image Entropy for Discrete Dynamical Systems
cites work: Space–time complexity in Hamiltonian dynamics
cites work: The memory effect on fractional calculus: an application in the spread of COVID-19
cites work: A review of definitions for fractional derivatives and integral
cites work: Hidden attractors in dynamical systems
cites work: Fractional standard map: Riemann-Liouville vs. Caputo
cites work: Fractional Maps and Fractional Attractors. Part I: α-Families of Maps
cites work: Universal fractional map and cascade of bifurcations type attractors
cites work: The Kelvin-Voigt visco-elastic model involving a fractional-order time derivative for modelling torsional oscillations of a complex discrete biodynamical system
cites work: Variable-order fractional discrete-time recurrent neural networks
cites work: MODELING AFTERSHOCKS BY FRACTIONAL CALCULUS: EXACT DISCRETIZATION VERSUS APPROXIMATE DISCRETIZATION
cites work: Linear recurring sequences over rings and modules
cites work: Weighted moving averaging revisited: an algebraic approach
cites work: Control of Divergence in an Extended Invertible Logistic Map
cites work: Q4457477
cites work: Simple mathematical models with very complicated dynamics
cites work: Niels Henrik Abel and the birth of fractional calculus
cites work: The rank of a sequence as an indicator of chaos in discrete nonlinear dynamical systems
cites work: Q4792122
cites work: A new collection of real world applications of fractional calculus in science and engineering
cites work: No nonlocality. No fractional derivative
cites work: Finite-Time Stabilization of the Fractional Model of the Driven Dissipative Nonlinear Pendulum
cites work: Professor Valentin Afraimovich
cites work: Theory of continuous set of points.
DOI: 10.1142/S0218127424500858
description: scientific article; zbMATH DE number 7916710