1/17/2024 0 Comments Evolve stage 2 periodic![]() ![]() Rankovic, Bursting neurons with coupling delays, Phys. García-Ojalvo, Dynamics of globally delay-coupled neurons displaying subthreshold oscillations, Phil. Mensour, et al., Multistability and delayed recurrent loops, Phys. Butera, Mechanism, dynamics and biological existence of multistability in a large class of bursting neurons, Chaos, 20(2010), 023118. Clark, et al., Bistability and its regulation by serotonin in the endogenously bursting neuron R15 in Aplysia, J. Bazhenov, Coexistence of tonic firing and bursting in cortical neurons, Phys. Hauptmann, Therapeutic modulation of synaptic connectivity with desynchronizing brain stimulation, Int. Hupé, et al., Multistability in perception: sensory modalities, an overview, Philos. Xu, Codimension-two bursting analysis in the delayed neural system with external stimulations, Nonlinear Dyn., 67(2012), 309–328. Savin, Multistability and transition to chaos in the degenerate Hamiltonian system with weak nonlinear dissipative perturbation, Physica A, 410(2014), 561–572. Mixed-coexistence of periodic orbits and chaotic attractors in an inertial neural system with a nonmonotonic activation function. Additionally, transient chaos in neural system is observed by phase portraits and time histories.Ĭitation: Zigen Song, Jian Xu, Bin Zhen. The phase portraits and attractor basins are shown to verify the coexisting attractors. Many types of multistability are presented, such as the bistable periodic orbits, multistable periodic orbits, and multistable chaotic attractors with multi-periodic orbits. Finally, to view the global evolutions of dynamical behavior, we employ the combined bifurcation diagrams including equilibrium points and periodic orbits. Further, the single-scroll chaos will evolve into the double-scroll chaotic attractor. Then, employing some numerical simulations, including the phase portraits, Lyapunov exponents, bifurcation diagrams, and the sensitive dependence to initial values, we find that the system generates two coexisting single-scroll chaotic attractors via the period-doubling bifurcation. The system parameters are divided into some regions with the different number of equilibria by the static bifurcation curve. To this end, the equilibria and their stability are analyzed. It is found that the neural system exhibits the mixed coexistence with periodic orbits and chaotic attractors. Theoretical analysis and numerical simulation are employed to illustrate the complex dynamics. In this paper, we construct an inertial two-neuron system with a non-monotonic activation function.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |