Coupled three-state oscillators
نویسنده
چکیده
We investigate globally coupled stochastic three-state oscillators, which we consider as general models of stochastic excitable systems. We compare two situations:in the first case the transitions between the three states of each unit 1 → 2 → 3 → 1 are determined by Poissonian waiting time distributions. In the second case only transition 1 → 2 is Poissonian whereas the others are deterministic with a fixed delay. When coupled the second system shows coherent oscillations whereas the first remains in a stable stationary state. We show that the coherent oscillations are due to a Hopf-bifurcation in the dynamics of the occupation probabilities of the discrete states and discuss the bifurcation diagram.
منابع مشابه
The smallest chimera state for coupled pendula
Chimera states in the systems of coupled identical oscillators are spatiotemporal patterns in which different groups of oscillators can exhibit coexisting synchronous and incoherent behaviors despite homogeneous coupling. Although these states are typically observed in large ensembles of oscillators, recently it has been suggested that chimera states may occur in the systems with small numbers ...
متن کاملA Phase Noise Reduction Technique in LC Cross-coupled Oscillators with Adjusting Transistors Operating Regions
In this paper, an intuitive analysis of a phase noise reduction technique is done, and then a modified structure is proposed to achieve higher phase noise reduction than the original one. This method reduces the impact of noise sources on the phase noise by decreasing closed-loop gain in zero-crossings points and moving this high closed-loop gain to the non-zero-crossings points. This reduction...
متن کاملEnergy eigenvalues and squeezing properties of general systems of coupled quantum anharmonic oscillators
We have generalized the two-step approach to the solution of systems of N coupled quantum anharmonic oscillators. By using the squeezed vacuum state of each individual oscillator, we construct the tensor product state, and obtain the optimal squeezed vacuum product state through energy minimization. We then employ this optimal state and its associated bosonic operators to define a basis set to ...
متن کاملA proposal for factorization using Kerr nonlinearities between three harmonic oscillators
Using three coupled harmonic oscillators, we propose a quantum approach without using qubits to efficiently factorize an integer with only three steps. These three harmonic oscillators are coupled together via nonlinear interactions. This factoring method can be applied even if two harmonic oscillators are prepared in mixed states. As simple examples, we show how to factorize N = 15 and 35 usin...
متن کاملPopulations of coupled electrochemical oscillators.
Experiments were carried out on arrays of chaotic electrochemical oscillators to which global coupling, periodic forcing, and feedback were applied. The global coupling converts a very weakly coupled set of chaotic oscillators to a synchronized state with sufficiently large values of coupling strength; at intermediate values both intermittent and stable chaotic cluster states occur. Cluster for...
متن کامل