Transition to bursting via deterministic chaos.
نویسنده
چکیده
We study statistical properties of the irregular bursting arising in a class of neuronal models close to the transition from spiking to bursting. Prior to the transition to bursting, the systems in this class develop chaotic attractors, which generate irregular spiking. The chaotic spiking gives rise to irregular bursting. The duration of bursts near the transition can be very long. We describe the statistics of the number of spikes and the interspike interval distributions within one burst as functions of the distance from criticality.
منابع مشابه
On transition to bursting via deterministic chaos
We study statistical properties of the irregular bursting arising in a class of neuronal models close to the transition from spiking to bursting. Prior to the transition to bursting, the systems in this class develop chaotic attractors, which generate irregular spiking. The chaotic spiking gives rise to irregular bursting. The duration of bursts near the transition can be very long. We describe...
متن کاملDynamical phases of the Hindmarsh-Rose neuronal model: studies of the transition from bursting to spiking chaos.
The dynamical phases of the Hindmarsh-Rose neuronal model are analyzed in detail by varying the external current I. For increasing current values, the model exhibits a peculiar cascade of nonchaotic and chaotic period-adding bifurcations leading the system from the silent regime to a chaotic state dominated by bursting events. At higher I-values, this phase is substituted by a regime of continu...
متن کاملBursting Near homoclinic bifurcation in Two Coupled Chua oscillators
We report experimental observation of cycle-cycle bursting near homoclinic bifurcation in a selfoscillating Chua oscillator when it is diffusively coupled to another excitable Chua oscillator. The excitable oscillator induces an asymmetry in the self-oscillating Chua oscillator via coupling. The coupling strength controls the strength of the asymmetry that plays a key role in transition to burs...
متن کاملNeural network model for apparent deterministic chaos in spontaneously bursting hippocampal slices.
A neural network model that exhibits stochastic population bursting is studied by simulation. First return maps of interburst intervals exhibit recurrent unstable-periodic-orbit(UPO)-like trajectories similar to those found in experiments on hippocampal slices. Applications of various control methods and surrogate analysis for UPO detection also yield results similar to those of experiments. Ou...
متن کاملOn the dynamics of chaotic spiking-bursting transition in the Hindmarsh-Rose neuron.
The paper considers the neuron model of Hindmarsh-Rose and studies in detail the system dynamics which controls the transition between the spiking and bursting regimes. In particular, such a passage occurs in a chaotic region and different explanations have been given in the literature to represent the process, generally based on a slow-fast decomposition of the neuron model. This paper propose...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review letters
دوره 97 4 شماره
صفحات -
تاریخ انتشار 2006