Stochastic generation and shifts of phantom attractors in the 2D Rulkov model
DOI10.1016/J.CHAOS.2022.112111zbMath1505.37062OpenAlexW4224306725MaRDI QIDQ2113097
L. B. Ryashko, Irina Bashkirtseva
Publication date: 12 January 2023
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112111
discrete-time systemsstochastic sensitivityrandom disturbancesconfidence domainsfreeze-and-average methodphantom attractor
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Generation, random and stochastic difference and differential equations (37H10)
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Cites Work
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- Stochasticity in processes. Fundamentals and applications to chemistry and biology
- Control of multistability
- The effects of synaptic time delay on motifs of chemically coupled Rulkov model neurons
- Noise-induced transitions. Theory and applications in physics, chemistry, and biology
- Extending the zero-derivative principle for slow-fast dynamical systems
- Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise
- Handbook of stochastic methods for physics, chemistry and the natural sciences
- Coherence and stochastic resonance in a second-order asymmetric tri-stable system with memory effects
- Stochastic P-bifurcation analysis of a novel type of unilateral vibro-impact vibration system
- Stochastic variability of regular and chaotic dynamics in 2D metapopulation model
- Deterministic coherence and anti-coherence resonances in networks of chaotic oscillators with frequency mismatch
- Geometry of quantum phase transitions
- Fourier analysis of a delayed Rulkov neuron network
- Noise-induced toroidal excitability in neuron model
- Anomalous stochastic dynamics induced by the slip-stick friction and leading to phantom attractors
- Nonlinear climate dynamics: from deterministic behaviour to stochastic excitability and chaos
- Mixed-Mode Oscillations with Multiple Time Scales
- Modeling of spiking-bursting neural behavior using two-dimensional map
- Effects of Lévy noise on the dynamics of sine-Gordon solitons in long Josephson junctions
- Stochastic Resonance
- Synchronization of Rulkov neuron networks coupled by excitatory and inhibitory chemical synapses
- On Averaging Principles: An Asymptotic Expansion Approach
- ORIGIN OF CHAOS IN A TWO-DIMENSIONAL MAP MODELING SPIKING-BURSTING NEURAL ACTIVITY
- Slow-Fast Autonomous Dynamical Systems
- Stochastic transformations of multi-rhythmic dynamics and order–chaos transitions in a discrete 2D model
- Stochastic Spiking-Bursting Excitability and Transition to Chaos in a Discrete-Time Neuron Model
- Stochastic Bifurcations, Chaos and Phantom Attractors in the Langford System with Tori
- Stochastic Dynamics of Two Picophytoplankton Populations in a Real Marine Ecosystem
- How additive noise forms and shifts phantom attractors in slow–fast systems
- Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments
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