Comparative analysis of correlation and Kaplan-Yorke dimensions for discrete-time fractional systems

DOI10.1142/S0218127422502224zbMATH Open1544.39005MaRDI QIDQ6537555

Publication date: 14 May 2024

Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponent spectrum Kaplan-Yorke dimension correlation dimension Grassberger-Procaccia algorithm discrete-time fractional system

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13)

Cites Work

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Projective synchronization of fractional order chaotic system based on linear separation
Existence results for nonlinear fractional difference equation
On Riemann and Caputo fractional differences
An equation for hyperchaos
A comparison of correlation and Lyapunov dimensions
Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps
Chaos in the fractional order unified system and its synchronization
Nabla discrete fractional calculus and nabla inequalities
On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
The Lyapunov dimension of strange attractors
Determining Lyapunov exponents from a time series
Measuring the strangeness of strange attractors
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
Estimating correlation dimension from a chaotic time series: When does plateau onset occur?
Dimension und äußeres Maß.
Finite difference approximations for fractional advection-dispersion flow equations
Nonlinear dynamics delay times, and embedding windows
Stability and logarithmic decay of the solution to Hadamard-type fractional differential equation
Chaotic systems with multistability and hidden attractors
On fractional-order discrete-time systems: chaos, stabilization and synchronization
Discrete fractional logistic map and its chaos
The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus
Chaotic vibration, bifurcation, stabilization and synchronization control for fractional discrete-time systems
Optimization of the Kaplan-Yorke dimension in fractional-order chaotic oscillators by metaheuristics
Chaotic vibration in fractional maps
On measures of dependence
Fractional-order difference equations for physical lattices and some applications
Independent coordinates for strange attractors from mutual information
Discrete fractional calculus with the nabla operator
ON THE NONEQUIVALENCE OF LORENZ SYSTEM AND CHEN SYSTEM
YET ANOTHER CHAOTIC ATTRACTOR
Deterministic Nonperiodic Flow
ON A GENERALIZED LORENZ CANONICAL FORM OF CHAOTIC SYSTEMS
BRIDGE THE GAP BETWEEN THE LORENZ SYSTEM AND THE CHEN SYSTEM
A NEW CHAOTIC ATTRACTOR COINED
DYNAMICAL ANALYSIS OF A NEW CHAOTIC ATTRACTOR
On the Three-Dimensional Fractional-Order Hénon Map with Lorenz-Like Attractors
On the Correlation Dimension of Discrete Fractional Chaotic Systems
Julia Sets and Their Control in a Three-Dimensional Discrete Fractional-Order Financial Model
New variable-order fractional chaotic systems for fast image encryption
An analysis of variance test for normality (complete samples)
Stability and \(\psi\)-algebraic decay of the solution to \(\psi\)-fractional differential system
Synchronization of discrete fractional-order complex networks with and without unknown topology

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