Synchronizing chaotic neuromodules
نویسنده
چکیده
We discuss the time-discrete parametrized synchronous dynamics of two coupled chaotic neuromodules. The symmetrical coupling of identical 2-neuron modules results in periodic, quasiperiodic as well as chaotic dynamics constrained to a synchronization manifold M . Stability of the synchonized dynamics is calculated by transversal Lyapunov exponents. In addition to synchronized attractors there often co-exist asynchronous periodic, quasiperiodic or even chaotic atractors. Simulation results for selected sets of parameters are presented.
منابع مشابه
Ff Ur Mathematik in Den Naturwissenschaften Leipzig Synchronized Chaos in Coupled Neuromodules of Diierent Type Synchronized Chaos in Coupled Neuromodules of Diierent Type
We discuss the time discrete parametrized dynamics of two coupled re current neural networks General conditions for the existence of synchro nized dynamics are derived for these systems and it is demonstrated that also the coupling of totally di erent network structures can result in peri odic quasiperiodic as well as chaotic dynamics constrained to a synchro nization manifoldM Stability of the...
متن کاملDriving Neuromodules into Synchronous Chaos
We discuss the time-discrete parametrized dynamics of two neuromodules, which are coupled in a uni-directional way. General conditions for the existence of synchronized dynamics are derived for these systems. It is demonstrated that already the one-way couplings of 2-neuron modules can result in periodic, quasiperiodic as well as chaotic dynamics constrained to a synchronization manifold M . St...
متن کاملSynchronized chaos in coupled neuromodules of different types
We discuss the time-discrete parametrized dynamics of two coupled recurrent neural networks. General conditions for the existence of synchronized dynamics are derived for these systems, and it is demonstrated that also the coupling of totally different network structures can result in periodic, quasiperiodic as well as chaotic dynamics constrained to a synchronization manifold M . Stability of ...
متن کاملSynchronous and Asynchronous Chaos in Coupled Neuromodules
The parametrized time-discrete dynamics of two recurrently coupled neuromodules is studied analytically and by computer simulations. Conditions for the existence of synchronized dynamics are derived and periodic as well as quasiperiodic and chaotic attractors constrained to a synchronization manifold M are observed. Stability properties of the synchronized dynamics is discussed by using Lyapuno...
متن کاملSynchronizing Autonomous Chaotic Systems Using Filters
A system for synchronizing chaotic transmitters and receivers that is less sensitive to channel effects than other known chaotic communication methods. The system employs duplicate transmitter and receiving modules and in addition to the chaotic output a synchronizing signal which occupies a reduced bandwidth. The small bandwidth affords the system a greater resistance to the affects of frequen...
متن کامل