Bifurcation and chaos in a discrete activator-inhibitor system
Copyright policy )Bifurcation and chaos in a discrete activator-inhibitor system
<abstract><p>In this paper, we explore local dynamic characteristics, bifurcations and control in the discrete activator-inhibitor system. More specifically, it is proved that discrete-time activator-inhibitor system has an interior equilibrium solution. Then, by using linear stability theory, local dynamics with different topological classifications for the interior equilibrium solution are investigated. It is investigated that for the interior equilibrium solution, discrete activator-inhibitor system undergoes Neimark-Sacker and flip bifurcations. Further chaos control is studied by the feedback control method. Finally, numerical simulations are presented to validate the obtained theoretical results.</p></abstract>
- King Khalid University Saudi Arabia
- Mansoura University Egypt
- Jazan University Saudi Arabia
- University of Azad Jammu and Kashmir Pakistan
Artificial intelligence, Computer Networks and Communications, flip bifurcation, chaos, Control (management), Biochemistry, Quantum mechanics, Bifurcations, Dynamics of Synchronization in Complex Networks, Health Sciences, QA1-939, FOS: Mathematics, Control theory (sociology), Discrete system, activator-inhibitor model, Bifurcations in Planar Polynomial Systems, Physics, Statistics, Public Health, Environmental and Occupational Health, Activator (genetics), Stability theory, Applied mathematics, Computer science, Algorithm, Chemistry, numerical simulation, Disease Transmission and Population Dynamics, Discrete time and continuous time, Computer Science, Physical Sciences, Nonlinear system, Medicine, Bifurcation, Geometry and Topology, neimark-sacker bifurcations, Mathematics, Receptor
Artificial intelligence, Computer Networks and Communications, flip bifurcation, chaos, Control (management), Biochemistry, Quantum mechanics, Bifurcations, Dynamics of Synchronization in Complex Networks, Health Sciences, QA1-939, FOS: Mathematics, Control theory (sociology), Discrete system, activator-inhibitor model, Bifurcations in Planar Polynomial Systems, Physics, Statistics, Public Health, Environmental and Occupational Health, Activator (genetics), Stability theory, Applied mathematics, Computer science, Algorithm, Chemistry, numerical simulation, Disease Transmission and Population Dynamics, Discrete time and continuous time, Computer Science, Physical Sciences, Nonlinear system, Medicine, Bifurcation, Geometry and Topology, neimark-sacker bifurcations, Mathematics, Receptor
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!