# stochastic dynamics and bifurcation

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/stochastic-dynamics-and-bifurcation/

## Facts

| Field | Value |
| --- | --- |
| Description | This cluster of papers explores the phenomenon of stochastic resonance in nonlinear systems, focusing on the effects of noise on transport, neural excitability, and information processing. It covers topics such as Brownian motors, channel noise in neurons, synchronization transitions, and coherence resonance. The research delves into how noise can enhance detection of weak signals and improve biological information processing. |
| Domain | Physical Sciences |
| Field | Physics and Astronomy |
| OpenAlex ID | t11513 |
| Works | 22 |

## Topic papers all

Showing 15 of 22.

- [Comparison of Hilbert transform and wavelet methods for the analysis of neuronal synchrony](https://scholariq.org/papers/comparison-of-hilbert-transform-and-wavelet-methods-for-the-analysis-of-neuronal/)
- [Exponential stability and periodic oscillatory solution in BAM networks with delays](https://scholariq.org/papers/exponential-stability-and-periodic-oscillatory-solution-in-bam-networks-with/)
- [Critical-State Dynamics of Avalanches and Oscillations Jointly Emerge from Balanced Excitation/Inhibition in Neuronal Networks](https://scholariq.org/papers/critical-state-dynamics-of-avalanches-and-oscillations-jointly-emerge-from/)
- [Estimating the time-course of coherence between single-trial brain signals: an introduction to wavelet coherence](https://scholariq.org/papers/estimating-the-time-course-of-coherence-between-single-trial-brain-signals-an/)
- [Global stability analysis in delayed Hopfield neural network models](https://scholariq.org/papers/global-stability-analysis-in-delayed-hopfield-neural-network-models/)
- [Suppressing chaos in neural networks by noise](https://scholariq.org/papers/suppressing-chaos-in-neural-networks-by-noise/)
- [An effective kinetic representation of fluctuation-driven neuronal networks with application to simple and complex cells in visual cortex](https://scholariq.org/papers/an-effective-kinetic-representation-of-fluctuation-driven-neuronal-networks-with/)
- [Stationary diffusion over a multidimensional potential barrier: A generalization of Kramers' formula](https://scholariq.org/papers/stationary-diffusion-over-a-multidimensional-potential-barrier-a-generalization/)
- [Kinetic theory for neuronal network dynamics](https://scholariq.org/papers/kinetic-theory-for-neuronal-network-dynamics/)
- [Noise-Enhanced Information Systems](https://scholariq.org/papers/noise-enhanced-information-systems/)
- [Nuclear fission viewed as a diffusion process: Case of very large friction](https://scholariq.org/papers/nuclear-fission-viewed-as-a-diffusion-process-case-of-very-large-friction/)
- [Maximum-Entropy Closures for Kinetic Theories of Neuronal Network Dynamics](https://scholariq.org/papers/maximum-entropy-closures-for-kinetic-theories-of-neuronal-network-dynamics/)
- [Dynamics of current-based, Poisson driven, integrate-and-fire neuronal networks](https://scholariq.org/papers/dynamics-of-current-based-poisson-driven-integrate-and-fire-neuronal-networks/)
- [Kinetic theory for neuronal networks with fast and slow excitatory conductances driven by the same spike train](https://scholariq.org/papers/kinetic-theory-for-neuronal-networks-with-fast-and-slow-excitatory-conductances/)
- [Three Time-Scales In An Extended Bonhoeffer–Van Der Pol Oscillator](https://scholariq.org/papers/three-time-scales-in-an-extended-bonhoeffer-van-der-pol-oscillator/)

## Topic primary papers

- [Stationary diffusion over a multidimensional potential barrier: A generalization of Kramers' formula](https://scholariq.org/papers/stationary-diffusion-over-a-multidimensional-potential-barrier-a-generalization/)
- [Nuclear fission viewed as a diffusion process: Case of very large friction](https://scholariq.org/papers/nuclear-fission-viewed-as-a-diffusion-process-case-of-very-large-friction/)
- [Three Time-Scales In An Extended Bonhoeffer–Van Der Pol Oscillator](https://scholariq.org/papers/three-time-scales-in-an-extended-bonhoeffer-van-der-pol-oscillator/)
- [Mixed mode oscillations in the Bonhoeffer-van der Pol oscillator with weak periodic perturbation](https://scholariq.org/papers/mixed-mode-oscillations-in-the-bonhoeffer-van-der-pol-oscillator-with-weak/)
- [Generalization of Kramers's formula: Fission over a multidimensional potential barrier](https://scholariq.org/papers/generalization-of-kramers-s-formula-fission-over-a-multidimensional-potential/)
- [Magnetic Anomaly Signal Detection Using Parallel Monostable Stochastic Resonance System](https://scholariq.org/papers/magnetic-anomaly-signal-detection-using-parallel-monostable-stochastic-resonance/)
- [Sector-delayed-Hopf-type mixed-mode oscillations in a prototypical three-time-scale model](https://scholariq.org/papers/sector-delayed-hopf-type-mixed-mode-oscillations-in-a-prototypical-three-time/)

---
Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.