4.7 Article

Ghost attractors in blinking Lorenz and Hindmarsh-Rose systems

Related references

Note: Only part of the references are listed.
Article Physics, Multidisciplinary

Chaotic driven maps: Non-stationary hyperbolic attractor and hyperchaos

Nikita Barabash et al.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2020)

Article Mathematics, Applied

Synchronizability of two neurons with switching in the coupling

Fatemeh Parastesh et al.

APPLIED MATHEMATICS AND COMPUTATION (2019)

Article Mathematics, Applied

A Lorenz-type attractor in a piecewise-smooth system: Rigorous results

Vladimir N. Belykh et al.

CHAOS (2019)

Review Multidisciplinary Sciences

Transient phenomena in ecology

Alan Hastings et al.

SCIENCE (2018)

Article Mathematics, Applied

Windows of opportunity for synchronization in stochastically coupled maps

Olga Golovneva et al.

PHYSICA D-NONLINEAR PHENOMENA (2017)

Article Mathematics, Applied

Finding First Foliation Tangencies in the Lorenz System

Jennifer L. Creaser et al.

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2017)

Article Mathematics, Applied

Attractor comparisons based on density

T. L. Carroll

CHAOS (2015)

Article Engineering, Electrical & Electronic

Synchronization in On-Off Stochastic Networks: Windows of Opportunity

Russell Jeter et al.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS (2015)

Article Physics, Multidisciplinary

Multistable randomly switching oscillators: The odds of meeting a ghost

I. Belykh et al.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2013)

Article Mathematics, Applied

Dynamics of Stochastically Blinking Systems. Part II: Asymptotic Properties

Martin Hasler et al.

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2013)

Article Mathematics, Applied

Dynamics of Stochastically Blinking Systems. Part I: Finite Time Properties

Martin Hasler et al.

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2013)

Article Neurosciences

Ongoing Cortical Activity at Rest: Criticality, Multistability, and Ghost Attractors

Gustavo Deco et al.

JOURNAL OF NEUROSCIENCE (2012)

Article Mathematics, Applied

Wasserstein distances in the analysis of time series and dynamical systems

Michael Muskulus et al.

PHYSICA D-NONLINEAR PHENOMENA (2011)

Article Mathematical & Computational Biology

Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model

Roberto Barrio et al.

Journal of Mathematical Neuroscience (2011)

Article Engineering, Mechanical

Synthesizing attractors of Hindmarsh-Rose neuronal systems

Marius-F. Danca et al.

NONLINEAR DYNAMICS (2010)

Article Mathematics

Invariant measures for singular hyperbolic attractors

E. A. Sataev

SBORNIK MATHEMATICS (2010)

Article Mathematics, Interdisciplinary Applications

Complex bifurcation structures in the Hindmarsh-Rose neuron model

J. M. Gonzalez-Miranda

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2007)

Article Mathematics, Applied

Blinking model and synchronization in small-world networks with a time-varying coupling

IV Belykh et al.

PHYSICA D-NONLINEAR PHENOMENA (2004)

Article Mathematics, Interdisciplinary Applications

Emergencies as a manifestation of the effect of bifurcation memory in controlled unstable systems

MI Feigin et al.

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2004)

Article Engineering, Electrical & Electronic

Complex behavior in switching power converters

CK Tse et al.

PROCEEDINGS OF THE IEEE (2002)

Article Physics, Fluids & Plasmas

Influence of noise on statistical properties of nonhyperbolic attractors

VS Anishchenko et al.

PHYSICAL REVIEW E (2000)