Fractional-order PWC systems without zero Lyapunov exponents
type: Item
instance of: scholarly article
title: Fractional-order PWC systems without zero Lyapunov exponents
zbMATH Open document ID: 1398.37028
author: M.-F. Danca
author: Michal Fečkan
author: N. V. Kuznetsov
author: Guanrong Chen
published in: Nonlinear Dynamics
publication date: 2018-10-23T00:00:00Z
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34D08
zbMATH DE Number: 6962433
zbMATH Keywords: fractional-order piece-wise continuous system
zbMATH Keywords: continuous approximation
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: chaotic system
zbMATH Keywords: hyperchaotic system
MaRDI profile type: Publication
full work available at URL: s11071-018-4108-2
OpenAlex ID: W2790249467
Wikidata QID: Q58797227
cites work: Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
cites work: Q3324260
cites work: Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
cites work: Discontinuous dynamical systems
cites work: Lyapunov exponents of a class of piecewise continuous systems of fractional order
cites work: Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system
cites work: A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side
cites work: Analysis of fractional differential equations
cites work: A predictor-corrector approach for the numerical solution of fractional differential equations
cites work: Difference Methods for Differential Inclusions: A Survey
cites work: Hidden attractors in dynamical systems
cites work: Ergodic theory of chaos and strange attractors
cites work: Multivalued fractional differential equations
cites work: Q3994508
cites work: Hyperchaos of four state autonomous system with three positive Lyapunov exponents
cites work: Mittag-Leffler Functions, Related Topics and Applications
cites work: GENERATING HYPERCHAOTIC ATTRACTORS WITH THREE POSITIVE LYAPUNOV EXPONENTS VIA STATE FEEDBACK CONTROL
cites work: Differential equations of fractional order:methods results and problem —I
cites work: Non-smooth dynamical systems
cites work: Q4214669
cites work: On the bound of the Lyapunov exponents for the fractional differential systems
cites work: Calculation of Lyapunov exponents for dynamic systems with discontinuities.
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
cites work: Q4438574
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Stick-slip vibrations and chaos
cites work: A comparative study of computation of Lyapunov spectra with different algorithms
cites work: An equation for hyperchaos
cites work: The nature of Lyapunov exponents is \((+,+,-,-)\). Is it a hyperchaotic system?
cites work: Estimation of the dominant Lyapunov exponent of non-smooth systems on the basis of maps synchronization.
cites work: Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system
cites work: Q4236291
cites work: A proof for non existence of periodic solutions in time invariant fractional order systems
cites work: Estimation of Lyapunov exponents for a system with sensitive friction model
cites work: Determining Lyapunov exponents from a time series
cites work: A generalized Gronwall inequality and its application to a fractional differential equation
cites work: Q3460094
DOI: 10.1007/S11071-018-4108-2
description: scientific article; zbMATH DE number 6962433