Stochastic sensitivity analysis of chaotic attractors in 2D non-invertible maps

DOI10.1016/j.chaos.2019.05.032zbMath1448.39029OpenAlexW2965578896WikidataQ127715806 ScholiaQ127715806MaRDI QIDQ2213825

L. B. Ryashko, Irina Bashkirtseva

Publication date: 3 December 2020

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2019.05.032

zbMATH Keywords

noninvertible mapschaotic attractorsstochastic sensitivityrandom disturbancesnoise-induced transitions

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10) Simulation of dynamical systems (37M05) Dynamical aspects of attractors and their bifurcations (37G35) Stochastic difference equations (39A50) Chaotic behavior of solutions of difference equations (39A33)

Related Items (8)

Probabilistic mechanisms of the noise-induced oscillatory transitions in a Leslie type predator-prey model ⋮ Stochastic deformations of coupling-induced oscillatory regimes in a system of two logistic maps ⋮ Stochastic variability of regular and chaotic dynamics in 2D metapopulation model ⋮ How noise induces multi-stage transformations of oscillatory regimes in a thermochemical model ⋮ Multistability and stochastic dynamics of Rulkov neurons coupled via a chemical synapse ⋮ Stochastic Spiking-Bursting Excitability and Transition to Chaos in a Discrete-Time Neuron Model ⋮ Stochastic sensitivity of quasiperiodic and chaotic attractors of the discrete Lotka-Volterra model ⋮ Chaotic transients, riddled basins, and stochastic transitions in coupled periodic logistic maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic sensitivity analysis of the attractors for the randomly forced Ricker model with delay
• Control of multistability
• Noise-induced bursting and chaos in the two-dimensional Rulkov model
• Effect of bounded noise on chaotic motions of stochastically perturbed slowly varying oscillator
• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Handbook of stochastic methods for physics, chemistry and the natural sciences
• A two-dimensional mapping with a strange attractor
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• On the influence of noise on the coexistence of chaotic attractors
• A probabilistic theory of random maps
• Stochastic sensitivity of the closed invariant curves for discrete-time systems
• The Fokker-Planck equation. Methods of solutions and applications.
• Dynamics of traveling waves in fluctuating nonlocal media
• Sensitivity analysis and feedback control of noise-induced extinction for competition chemostat model with mutualism
• Stochastic variability and transitions to chaos in a hierarchical three-species population model
• Stochastic sensitivity of regular and multi-band chaotic attractors in discrete systems with parametric noise
• Transient chaos. Complex dynamics in finite-time scales
• On the approximation of the Fokker-Planck equation by moment systems
• NOISE-INDUCED CHAOS AND BACKWARD STOCHASTIC BIFURCATIONS IN THE LORENZ MODEL
• Stochastic Resonance
• A MINIMAL 2-D QUADRATIC MAP WITH QUASI-PERIODIC ROUTE TO CHAOS
• Coherence Resonance in a Noise-Driven Excitable System
• Synchronization
• Sensitivity analysis of stochastic attractors and noise-induced transitions for population model with Allee effect
• Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments
• Elements of applied bifurcation theory

This page was built for publication: Stochastic sensitivity analysis of chaotic attractors in 2D non-invertible maps