Pith. sign in

REVIEW 3 cited by

Global Attractors for Hindmarsh-Rose Equations in Neurodynamics

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1907.13225 v1 pith:FF2UYUYU submitted 2019-07-30 math.AP

Chi Phan , Yuncheng You , Jianzhong Su This is my paper · ORCID
classification math.AP
keywords diffusiveequationsglobalhindmarsh-roseattractorsneurodynamicspartlyasymptotically
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

Global dynamics of the diffusive and partly diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain originated in neurodynamics are investigated in this paper. The existence of global attractors as well as the regularity are proved through various uniform estimates showing the dissipative properties and the asymptotically compact characteristics, especially for the partly diffusive Hindmarsh-Rose equations by means of the Kolmogorov-Riesz theorem.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Random Attractor for Stochastic Hindmarsh-Rose Equations with Additive Noise

    math.AP 2019-09 reject novelty 4.0 of 10

    For a two-dimensional bounded domain, the stochastic Hindmarsh-Rose equations with additive noise are claimed to possess a unique random pullback attractor in L2 space.

  2. Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics

    math.AP 2019-08 conditional novelty 4.0 of 10

    The authors prove that the diffusive Hindmarsh-Rose equations on a bounded three-dimensional domain admit an exponential attractor, which implies that their global attractor has finite fractal dimension.

  3. Random Attractor for Stochastic Hindmarsh-Rose Equations with Multiplicative Noise

    math.AP 2019-08 conditional novelty 4.0 of 10

    The stochastic Hindmarsh-Rose equations with multiplicative noise on a bounded 3D domain admit a random attractor in the square-integrable state space.

Pith tools