An Investigation on Parameter Identification Method of Controlling Chaos in Generalized Lotka-Volterra Systems Via Hybrid Projective Difference Combination Synchronization Technique

[1]  Erwin Frey,et al.  Coexistence versus extinction in the stochastic cyclic Lotka-Volterra model. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[3]  E. Pindza,et al.  Modeling cryptocurrencies transaction counts using variable-order Fractional Grey Lotka-Volterra dynamical system , 2019, Chaos, Solitons & Fractals.

[4]  George B. Arhonditsis,et al.  Using Daphnia physiology to drive food web dynamics: A theoretical revisit of Lotka-Volterra models , 2016, Ecol. Informatics.

[5]  Alain Arneodo,et al.  Occurence of strange attractors in three-dimensional Volterra equations , 1980 .

[6]  Ayub Khan,et al.  Hybrid projective synchronization in identical hyperchaotic systems using active control , 2020 .

[7]  Guohui Li.  Modified projective synchronization of chaotic system , 2007 .

[8]  Xiong Li,et al.  The survival analysis of a stochastic Lotka-Volterra competition model with a coexistence equilibrium. , 2019, Mathematical biosciences and engineering : MBE.

[9]  Bi-Huei Tsai,et al.  Elucidating the consumption and CO2 emissions of fossil fuels and low-carbon energy in the United States using Lotka–Volterra models , 2016 .

[10]  Taqseer Khan,et al.  Estimation and Identifiability of Parameters for Generalized Lotka-Volterra Biological Systems Using Adaptive Controlled Combination Difference Anti-Synchronization , 2020 .

[11]  Wei Zhu,et al.  Function projective synchronization for fractional-order chaotic systems , 2011 .

[12]  Luo Runzi,et al.  Finite-time stochastic combination synchronization of three different chaotic systems and its application in secure communication. , 2012, Chaos.

[13]  Vijay K. Yadav,et al.  Synchronization between fractional order complex chaotic systems , 2017 .

[14]  Vijay K. Yadav,et al.  Difference synchronization among three chaotic systems with exponential term and its chaos control , 2019, Chaos, Solitons & Fractals.

[15]  Li-Wei Ko,et al.  Adaptive synchronization of chaotic systems with unknown parameters via new backstepping strategy , 2012, Nonlinear Dynamics.

[16]  Spontaneous symmetry breaking of population: Stochastic Lotka-Volterra model for competition among two similar preys and predators. , 2018, Mathematical biosciences.

[17]  Xinchu Fu,et al.  Combination synchronization of three different order nonlinear systems using active backstepping design , 2013 .

[18]  E. Pindza,et al.  Grey Lotka–Volterra models with application to cryptocurrencies adoption , 2019, Chaos, Solitons & Fractals.

[19]  Mayank Srivastava,et al.  Triple Compound Synchronization Among Eight Chaotic Systems with External Disturbances via Nonlinear Approach , 2019, Differential Equations and Dynamical Systems.

[20]  Rong Zhang,et al.  Full state hybrid projective synchronization in continuous-time chaotic (hyperchaotic) systems , 2008 .

[21]  F. M. Scudo,et al.  Vito Volterra and theoretical ecology. , 1971, Theoretical population biology.

[22]  Alexandru Hening,et al.  Stochastic Lotka–Volterra food chains , 2017, Journal of mathematical biology.

[23]  Zhixia Ding,et al.  Projective synchronization of nonidentical fractional-order neural networks based on sliding mode controller , 2016, Neural Networks.

[24]  Xiaofeng Liao,et al.  Complete and lag synchronization of hyperchaotic systems using small impulses , 2004 .

[25]  Tasawar Hayat,et al.  Phase synchronization between two neurons induced by coupling of electromagnetic field , 2017, Appl. Math. Comput..

[26]  Andreas Pitsillides,et al.  A bio-inspired approach for streaming applications in wireless sensor networks based on the Lotka-Volterra competition model , 2010, Comput. Commun..

[27]  Sundarapandian Vaidyanathan,et al.  Synchronization of Hyperchaotic Liu System via Backstepping Control with Recursive Feedback , 2012 .

[28]  Hadi Delavari,et al.  Hybrid Complex Projective Synchronization of Complex Chaotic Systems Using Active Control Technique with Nonlinearity in the Control Input , 2018 .

[29]  Ayub Khan,et al.  Hybrid projective combination–combination synchronization in non-identical hyperchaotic systems using adaptive control , 2020, Arabian Journal of Mathematics.

[30]  Elliott W. Montroll,et al.  Nonlinear Population Dynamics. (Book Reviews: On the Volterra and Other Nonlinear Models of Interacting Populations) , 1971 .

[31]  F. Ohle,et al.  Adaptive control of chaotic systems , 1990 .

[32]  Sundarapandian Vaidyanathan,et al.  Hybrid Synchronization of the Generalized Lotka-Volterra Three-Species Biological Systems via Adaptive Control , 2016 .

[33]  Paul Woafo,et al.  Difference Synchronization of Identical and Nonidentical Chaotic and Hyperchaotic Systems of Different Orders Using Active Backstepping Design , 2018 .

[34]  A. J. Lotka.  Elements of Physical Biology. , 1925, Nature.

[35]  Luo Runzi,et al.  Combination synchronization of three classic chaotic systems using active backstepping design. , 2011, Chaos.

[36]  M. T. Yassen,et al.  Adaptive control and synchronization of a modified Chua's circuit system , 2003, Appl. Math. Comput..

[37]  L. V. Nedorezov,et al.  Assessing the impact of biological control of Plutella xylostella through the application of Lotka-Volterra model , 2009 .

[38]  M. T. Yassen,et al.  Optimal control and synchronization of Lotka-Volterra model , 2001 .

[39]  K. Sebastian Sudheer,et al.  Hybrid synchronization of hyperchaotic Lu system , 2009 .

[40]  L. Greller,et al.  Explosive route to chaos through a fractal torus in a generalized lotka-volterra model , 1988 .

[41]  A. E. Matouk,et al.  Dynamical analysis, linear feedback control and synchronization of a generalized Lotka-Volterra system , 2018 .

[42]  Ronnie Mainieri,et al.  Projective Synchronization In Three-Dimensional Chaotic Systems , 1999 .

[43]  Dong Li,et al.  Impulsive synchronization of fractional order chaotic systems with time-delay , 2016, Neurocomputing.

[44]  M. Prentice,et al.  Dynamics of a Lotka-Volterra type model with applications to marine phage population dynamics , 2006 .

[45]  Zhengzhi Han,et al.  Controlling and synchronizing chaotic Genesio system via nonlinear feedback control , 2003 .