Stochastic transformations of multi-rhythmic dynamics and order–chaos transitions in a discrete 2D model

DOI10.1063/5.0054679zbMath1465.92007OpenAlexW3168064606MaRDI QIDQ5000866

Ivan Tsvetkov, L. B. Ryashko, Irina Bashkirtseva

Publication date: 15 July 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0054679

Mathematics Subject Classification ID

Neural biology (92C20) Biological rhythms and synchronization (92B25)

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Cites Work

• Unnamed Item
• Control of multistability
• The effects of synaptic time delay on motifs of chemically coupled Rulkov model neurons
• Noise-induced bursting and chaos in the two-dimensional Rulkov model
• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Mathematical foundations of neuroscience
• Stochastic deformations of coupling-induced oscillatory regimes in a system of two logistic maps
• Analysis of noise effects in a map-based neuron model with Canard-type quasiperiodic oscillations
• Stability and chaos of Rulkov map-based neuron network with electrical synapse
• Modeling of spiking-bursting neural behavior using two-dimensional map
• Stochastic Resonance
• MAP BASED MODELS IN NEURODYNAMICS
• Coherence Resonance in a Noise-Driven Excitable System
• Synchronization of Rulkov neuron networks coupled by excitatory and inhibitory chemical synapses
• ORIGIN OF CHAOS IN A TWO-DIMENSIONAL MAP MODELING SPIKING-BURSTING NEURAL ACTIVITY
• Spiral and target wave chimeras in a 2D lattice of map-based neuron models
• Stochastic sensitivity analysis of noise-induced transitions in a biochemical model with birhythmicity
• Stochastic Spiking-Bursting Excitability and Transition to Chaos in a Discrete-Time Neuron Model
• Stochastic Sensitivity and Method of Principal Directions in Excitability Analysis of the Hodgkin–Huxley Model
• METHODS OF THE QUALITATIVE THEORY FOR THE HINDMARSH–ROSE MODEL: A CASE STUDY – A TUTORIAL
• NEURAL EXCITABILITY, SPIKING AND BURSTING
• Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments

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