Special Issue: Fractional Dynamics and Its Applications

Volume 80, issue 4 - June 2015

Journal

Nonlinear Dynamics

Nonlinear Dynamics is a hybrid journal publishing original content at the forefront of nonlinear dynamic research across diverse systems and scales.

Yong Zhou

Xiangtan University, Hunan, People’s Republic of China
Clara Ionescu

Ghent University, Ghent, Belgium
J.A. Tenreiro Machado

Polytechnic of Porto, Porto, Portugal

Showing 1-20 of 20 articles

Fractional dynamics and its applications
Yong Zhou
Clara Ionescu
J. A. Tenreiro Machado
Editorial 10 April 2015 Pages: 1661 - 1664
A novel image encryption scheme based on an improper fractional-order chaotic system
Jianfeng Zhao
Shuying Wang
Xianfeng Li
Original Paper 21 January 2015 Pages: 1721 - 1729
An iterative method to design optimal non-fragile \({\varvec{H}}_{\varvec{\infty }}\) observer for Lipschitz nonlinear fractional-order systems
Elham Amini Boroujeni
Hamid Reza Momeni
Original Paper 20 January 2015 Pages: 1801 - 1810
Reduced fractional modeling of 3D video streams: the FERMA approach
Raoul R. Nigmatullin
Cristiano Ceglie
Domenico Striccoli
Original Paper 12 November 2014 Pages: 1869 - 1882
Robust control of nonlinear PEMFC against uncertainty using fractional complex order control
Masoomeh Shahiri
Abolfazl Ranjbar
Reza Ghaderi
Original Paper 09 October 2014 Pages: 1785 - 1800
Bode shaping-based design methods of a fractional order PID controller for uncertain systems
B. Saidi
M. Amairi
M. Aoun
Original Paper 18 September 2014 Pages: 1817 - 1838
Fast projective synchronization of fractional order chaotic and reverse chaotic systems with its application to an affine cipher using date of birth (DOB)
P. Muthukumar
P. Balasubramaniam
K. Ratnavelu
Original Paper 23 July 2014 Pages: 1883 - 1897
Fractional kinetics under external forcing
Alexander Iomin
Original Paper 11 July 2014 Pages: 1853 - 1860
Nonlinear normal and anomalous response of non-interacting electric and magnetic dipoles subjected to strong AC and DC bias fields
W. T. Coffey
Y. P. Kalmykov
N. Wei
Original Paper 24 June 2014 Pages: 1861 - 1867
Multi-valued nonlinear perturbations of time fractional evolution equations in Banach spaces
Rong-Nian Wang
Peng-Xian Zhu
Qing-Hua Ma
Original Paper 03 June 2014 Pages: 1745 - 1759
Stability properties of two-term fractional differential equations
Jan Čermák
Tomáš Kisela
Original Paper 14 May 2014 Pages: 1673 - 1684
A fractional perspective to the bond graph modelling of world economies
J. A. Tenreiro Machado
Maria Eugénia Mata
Original Paper 08 May 2014 Pages: 1839 - 1852
Synchronization and stabilization of fractional second-order nonlinear complex systems
Mohammad Pourmahmood Aghababa
Original Paper 23 April 2014 Pages: 1731 - 1744
A discrete method to solve fractional optimal control problems
Ricardo Almeida
Delfim F. M. Torres
Original Paper 13 April 2014 Pages: 1811 - 1816
Fractional order control of thermal systems: achievability of frequency-domain requirements
Vahid Badri
Mohammad Saleh Tavazoei
Original Paper 10 April 2014 Pages: 1773 - 1783
Non-linear fractional field equations: weak non-linearity at power-law non-locality
Vasily E. Tarasov
Original Paper 22 March 2014 Pages: 1665 - 1672
Fractional order control of unstable processes: the magnetic levitation study case
Cristina I. Muresan
Clara Ionescu
Robin De Keyser
Original Paper 14 March 2014 Pages: 1761 - 1772
Chaos in the fractionally damped broadband piezoelectric energy generator
Junyi Cao
Shengxi Zhou
Yangquan Chen
Original Paper 09 March 2014 Pages: 1705 - 1719
Stochastic solutions for fractional wave equations
Mark M. Meerschaert
René L. Schilling
Alla Sikorskii
Original Paper 28 February 2014 Pages: 1685 - 1695
Discrete chaos in fractional delayed logistic maps
Guo-Cheng Wu
Dumitru Baleanu
Original Paper 18 February 2014 Pages: 1697 - 1703

Special Issue: Fractional Dynamics and Its Applications

Participating journal

Nonlinear Dynamics

Editors

Yong Zhou

Clara Ionescu

J.A. Tenreiro Machado

Articles

Fractional dynamics and its applications

A novel image encryption scheme based on an improper fractional-order chaotic system

An iterative method to design optimal non-fragile \({\varvec{H}}_{\varvec{\infty }}\) observer for Lipschitz nonlinear fractional-order systems

Reduced fractional modeling of 3D video streams: the FERMA approach

Robust control of nonlinear PEMFC against uncertainty using fractional complex order control

Bode shaping-based design methods of a fractional order PID controller for uncertain systems

Fast projective synchronization of fractional order chaotic and reverse chaotic systems with its application to an affine cipher using date of birth (DOB)

Fractional kinetics under external forcing

Nonlinear normal and anomalous response of non-interacting electric and magnetic dipoles subjected to strong AC and DC bias fields

Multi-valued nonlinear perturbations of time fractional evolution equations in Banach spaces

Stability properties of two-term fractional differential equations

A fractional perspective to the bond graph modelling of world economies

Synchronization and stabilization of fractional second-order nonlinear complex systems

A discrete method to solve fractional optimal control problems

Fractional order control of thermal systems: achievability of frequency-domain requirements

Non-linear fractional field equations: weak non-linearity at power-law non-locality

Fractional order control of unstable processes: the magnetic levitation study case

Chaos in the fractionally damped broadband piezoelectric energy generator

Stochastic solutions for fractional wave equations

Discrete chaos in fractional delayed logistic maps

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Special Issue: Fractional Dynamics and Its Applications

Participating journal

Editors

Yong Zhou

Clara Ionescu

J.A. Tenreiro Machado

Articles

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