Chaos control in the fractional order logistic map via impulses

[1]  B. Ahmad,et al.  Existence of solutions for fractional difference equations via topological degree methods , 2018, Advances in Difference Equations.

[2]  D. Baleanu,et al.  Stability analysis of impulsive fractional difference equations , 2018 .

[3]  Guanrong Chen,et al.  Complex dynamics, hidden attractors and continuous approximation of a fractional-order hyperchaotic PWC system , 2018, 1804.10774.

[4]  Guanrong Chen,et al.  Impulsive stabilization of chaos in fractional-order systems , 2017 .

[5]  Li Liu,et al.  Chaos Synchronization of Nonlinear Fractional Discrete Dynamical Systems via Linear Control , 2017, Entropy.

[6]  A. Ruszewski Practical and asymptotic stability of fractional discrete-time scalar systems described by a new model , 2016 .

[7]  Guanrong Chen,et al.  Suppressing chaos in a simplest autonomous memristor-based circuit of fractional order by periodic impulses , 2016 .

[8]  A. Peterson,et al.  Discrete Fractional Calculus , 2016 .

[9]  Dumitru Baleanu,et al.  Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps , 2015, Commun. Nonlinear Sci. Numer. Simul..

[10]  Josef Diblík,et al.  Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional difference equations , 2015, Appl. Math. Comput..

[11]  Marius-F. Danca,et al.  Suppressing chaos in discontinuous systems of fractional order by active control , 2014, Appl. Math. Comput..

[12]  Changpin Li,et al.  Chaotic vibration in fractional maps , 2014 .

[13]  Dumitru Baleanu,et al.  Discrete chaos in fractional sine and standard maps , 2014 .

[14]  S. Hristova,et al.  Monotone-Iterative Method for Solving Antiperiodic Nonlinear Boundary Value Problems for Generalized Delay Difference Equations with Maxima , 2013 .

[15]  M Lakshmanan,et al.  Applicability of 0-1 test for strange nonchaotic attractors. , 2013, Chaos.

[16]  Marius-F. Danca Chaos suppression via periodic change of variables in a class of discontinuous dynamical systems of fractional order , 2012 .

[17]  F. Mainardi Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models , 2010 .

[18]  Eduardo Liz,et al.  How to control chaotic behaviour and population size with proportional feedback , 2010 .

[19]  Xin Guo,et al.  Impulse Control of Multidimensional Jump Diffusions , 2009, SIAM J. Control. Optim..

[20]  V. E. Tarasov,et al.  Fractional standard map , 2009, 0909.5412.

[21]  Mohammad Saleh Tavazoei,et al.  A proof for non existence of periodic solutions in time invariant fractional order systems , 2009, Autom..

[22]  Georg A. Gottwald,et al.  On the Implementation of the 0-1 Test for Chaos , 2009, SIAM J. Appl. Dyn. Syst..

[23]  G. Zaslavsky,et al.  Fractional equations of kicked systems and discrete maps , 2008, 1107.3953.

[24]  L. Allen,et al.  Difference Equations And Discrete Dynamical Systems: Proceedings of the 9th International Conference University of Southern California, Los Angeles, California, USA, 2-7 August 2004 , 2005 .

[25]  G. Gottwald,et al.  A new test for chaos in deterministic systems , 2002, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[26]  Tao Yang,et al.  In: Impulsive control theory , 2001 .

[27]  Matthew Nicol,et al.  Euclidean extensions of dynamical systems , 2001 .

[28]  C. Soh,et al.  Lyapunov stability of discontinuous dynamic systems , 1999 .

[29]  Alexander L. Fradkov,et al.  Introduction to Control of Oscillations and Chaos , 1998 .

[30]  Güémez,et al.  Stabilization of chaos by proportional pulses in the system variables. , 1994, Physical review letters.

[31]  S. Kaul On impulsive semidynamical systems—II.: recursive properties , 1991 .

[32]  S. Kaul,et al.  On impulsive semidynamical systems , 1990 .

[33]  V. Lakshmikantham,et al.  Theory of Impulsive Differential Equations , 1989, Series in Modern Applied Mathematics.

[34]  D. Kershaw Some extensions of W. Gautschi’s inequalities for the gamma function , 1983 .

[35]  John A. Feroe,et al.  Existence and Stability of Multiple Impulse Solutions of a Nerve Equation , 1982 .

[36]  W. Gautschi Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function , 1959 .

[37]  Marius-F. Danca,et al.  Difference equations with impulses , 2019, Opuscula Mathematica.

[38]  D. Baleanu,et al.  Discrete fractional logistic map and its chaos , 2014 .

[39]  Michal Feckan,et al.  Note on fractional difference Gronwall inequalities , 2014 .

[40]  Bruno Bouchard,et al.  Optimal Control of Trading Algorithms: A General Impulse Control Approach , 2011, SIAM J. Financial Math..

[41]  M. Benchohra,et al.  Impulsive differential equations and inclusions , 2006 .

[42]  A. R. Humphries,et al.  Dynamical Systems And Numerical Analysis , 1996 .

[43]  D. Baĭnov,et al.  Systems with impulse effect : stability, theory, and applications , 1989 .

[44]  T. Caraballo,et al.  Electronic Journal of Qualitative Theory of Differential Equations a Survey on Impulsive Dynamical Systems , 2022 .