Related Experiment Video
Updated: Dec 25, 2025
12:21
Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
Published on: April 4, 2016
11.6K
Two paradigmatic scenarios for inverse stochastic resonance
1Scientific Computing Laboratory, Center for the Study of Complex Systems, Institute of Physics Belgrade, University of Belgrade, Pregrevica 118, 11080 Belgrade, Serbia.
Chaos (Woodbury, N.Y.)
|April 3, 2020
Summary
Inverse stochastic resonance, a phenomenon where oscillations minimize at intermediate noise levels, was studied in coupled active rotators. Two scenarios demonstrate this effect: switching between states in the excitable regime and noise-enhanced stability in the oscillatory regime.
Area of Science:
- Nonlinear Dynamics
- Statistical Physics
- Complex Systems
Background:
- Inverse stochastic resonance (ISR) is a nonlinear phenomenon where system oscillation frequency decreases with increasing noise intensity, reaching a minimum at intermediate levels.
- Understanding ISR is crucial for analyzing complex systems influenced by noise, such as biological networks and climate models.
Purpose of the Study:
- To demonstrate and elucidate two generic mechanisms for inverse stochastic resonance in adaptively coupled stochastic active rotators.
- To explore the role of system dynamics near bifurcation thresholds in generating ISR.
Main Methods:
- Utilized a paradigmatic model of two adaptively coupled stochastic active rotators.
- Analyzed system behavior in both excitable and oscillatory regimes near bifurcation thresholds.
- Employed slow-fast analysis to detail the mechanisms underlying the observed resonant effects.
Main Results:
- Demonstrated ISR in two distinct scenarios: biased switching between metastable states in the excitable regime, and noise-enhanced stability of an unstable fixed point in the oscillatory regime.
- Showcased that ISR emerges at intermediate noise levels due to specific dynamic behaviors of the coupled rotators.
- Provided detailed mechanistic explanations for ISR based on the underlying dynamics of the noiseless systems.
Conclusions:
- Inverse stochastic resonance can arise from distinct mechanisms in systems operating near bifurcation thresholds.
- The study provides a deeper understanding of noise-induced phenomena in nonlinear oscillatory systems.
- The findings contribute to the broader field of stochastic resonance and its applications in complex systems.
Related Concept Videos
01:18Second Order systems II
336
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
336
01:11Types of Responses of Series RLC Circuits
1.7K
A second-order differential equation characterizes a source-free series RLC circuit, marking its distinct mathematical representation. The complete solution of this equation is a blend of two unique solutions, each linked to the circuit's roots expressed in terms of the damping factor and resonant frequency.
1.7K
01:21Series RLC Circuit without Source
2.2K
Within the field of electrical circuits, source-free RLC circuits present an intriguing domain. These circuits comprise a series arrangement of a resistor, inductor, and capacitor, operating independently of external energy sources. Their initiation hinges upon utilizing the initial energy stored within the capacitor and inductor to instigate their functionality. Their mathematical equation, a second-order differential equation, sets these circuits apart. This equation captures how the...
2.2K
01:14Sound Waves: Resonance
3.1K
Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
3.1K
01:19Concept of Resonance and its Characteristics
5.9K
If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not...
5.9K
01:12Double Resonance Techniques: Overview
618
Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
Spin decoupling is usually achieved by...
618