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Paper Citation Record · LEDGER

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics

As of 16 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:1908.05661.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.05661 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:30:25.224289Z

measured 39 of 39 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

39 of 39 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved28
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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Outbound references

Observation ddfa5222-3da7-4a5b-9d5d-36ae06dbb00c · outbound

This paper cites Bertram, M.J.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Bertram, M.J

Reference 1

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Observation 0b8d0d13-3cf2-429b-96b0-ca930865c953 · outbound

This paper cites Buters, J.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Buters, J

Reference 2

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source=pdf_text observed=2026-08-14T13:30:24.986457Z digest=sha256:843facf54739c91b82f57bc2cb32b0bbb19d8ccfd7bdcdd24f300e71a0510245

Observation 8c628858-77eb-43f8-8ef8-ce5a489288e9 · outbound

This paper cites Carvalho, J.A.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Carvalho, J.A

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:30:24.991706Z digest=sha256:b02e1a362696b3b0ef2addc3422e21a91592b24c596c72a1f906dfc29c5d8e6d

Observation d977e9c1-91f7-4324-b638-7f1233783324 · outbound

This paper cites Chay and J.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Chay and J

Reference 4

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source=pdf_text observed=2026-08-14T13:30:24.996999Z digest=sha256:86d63f758e93b0dc495c6c06b18a8d1012bcc3ae9244a6a0d2e6608f0e50a942

Observation 42892daf-5360-41ff-a622-99072912689a · outbound

This paper cites an unresolved cited work.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-14T13:30:25.003588Z digest=sha256:15dd70713f76dfb6b94fba14fb75735317b791a1dd350f1eb6ce5804821d4cf2

Observation 3659df46-5130-4e69-b15f-3a9bfa5147fe · outbound

This paper cites Coombes, Waves, bumps, and patterns in neural field theories , Biological Cybernetics, 93 (2005), 91–108.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Coombes, Waves, bumps, and patterns in neural field theories , Biological Cybernetics, 93 (2005), 91–108

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c3236d8b-e4f9-42b6-8777-08c261693be8 · outbound

This paper cites Cornelisse, W.J.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Cornelisse, W.J

Reference 7

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source=pdf_text observed=2026-08-14T13:30:25.018343Z digest=sha256:1f8d094b375db719f1729f8bec176674079eb89f0bed949e7159f285fab03d4f

Observation 42c0c7d4-579f-40c4-bdca-6081ca38f392 · outbound

This paper cites Dhamala, V.K.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Dhamala, V.K

Reference 8

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source=pdf_text observed=2026-08-14T13:30:25.024196Z digest=sha256:c9263c62ffc2bdd5dd77d1a1bd9c050558748c60141b996f92a0fa2cffb89609

Observation 9bbbc5ea-6f3d-4a73-9f9f-a20620ffc8ae · outbound

This paper cites an unresolved cited work.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Unresolved cited work

Reference 9

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:30:25.029306Z digest=sha256:55a716ffa57554b7ac4cf4613928417941767651aaca6c9ddf3eba1d73c0032b

Observation 79f2518a-51fe-4dec-832b-13662da589ea · outbound

This paper cites Efendiev, A.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Efendiev, A

Reference 10

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:30:25.035173Z digest=sha256:2efa69b5ac048b497b0b17239ed0ebff706b68312a5f143af76d821a636dc728

Observation 176c232a-229e-4b13-b479-abe5a6467154 · outbound

This paper cites Efendiev, Y.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Efendiev, Y

Reference 11

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:30:25.044109Z digest=sha256:29c65b9e42c3a3c8cac86a4140c0769d6fe9613701430448b99f1bd98c1cdf10

Observation 31b41e24-7b9b-46c6-9a7b-8b45c4a9d143 · outbound

This paper cites Ementrout and D.H.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Ementrout and D.H

Reference 12

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source=pdf_text observed=2026-08-14T13:30:25.051143Z digest=sha256:99df1b2443dd74578d4701f90f91c2c684c206212296b4b654054c753f47b810

Observation 725969a8-98f4-4ca8-a95e-e30cc61552bd · outbound

This paper cites FitzHugh, Impulses and physiological states in theoretical models of nerve membrane , Bio- physical Journal, 1 (1961), 445–466.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics FitzHugh, Impulses and physiological states in theoretical models of nerve membrane , Bio- physical Journal, 1 (1961), 445–466

Reference 13

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source=pdf_text observed=2026-08-14T13:30:25.056524Z digest=sha256:c960d22cb2286b7752a3afe82dcfe62bc9711f6866c617aa4ae3d10e09df89d0

Observation a13bcd2e-ab53-4467-bedb-a868dde39158 · outbound

This paper cites Hindmarsh and R.M.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Hindmarsh and R.M

Reference 14

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source=pdf_text observed=2026-08-14T13:30:25.060929Z digest=sha256:0740e91c69ff01a3be2f1b7f33e8bd927fa3b3df1f8738393f160b8906308c03

Observation 04b0e36b-def2-4817-a2be-9a55318f7986 · outbound

This paper cites Hindmarsh and R.M.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Hindmarsh and R.M

Reference 15

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source=pdf_text observed=2026-08-14T13:30:25.067546Z digest=sha256:cde03bcb913578e2570e44d8d82b5ab30807154c15c825ed8f56baccc0ebbffd

Observation 1918dccd-e980-4393-b8c6-0b4c36019eb5 · outbound

This paper cites Hodgkin and A.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Hodgkin and A

Reference 16

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source=pdf_text observed=2026-08-14T13:30:25.072581Z digest=sha256:8c80b7db6de3c1ff62bd90f5a6eca654ff798416ea5e107f7f9d5748f6368ce3

Observation 1f8dc92f-b7b6-4938-a26f-a744cfbdbc95 · outbound

This paper cites Innocenti and R.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Innocenti and R

Reference 17

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source=pdf_text observed=2026-08-14T13:30:25.077529Z digest=sha256:ddb37f8d34e060711960d0f000a2d48e87db266740865448baa3485cd5fb50ac

Observation 5639e323-947b-4221-817b-707b2b807831 · outbound

This paper cites Izhikevich, Neural excitability, spiking, and bursting , I.J.B.C., 10 (2000), 1171–1266.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Izhikevich, Neural excitability, spiking, and bursting , I.J.B.C., 10 (2000), 1171–1266

Reference 18

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raw_fallback, observed 2026-08-14T13:30:25.550382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:30:25.083287Z digest=sha256:e6b88f68931c3dd8e379e41dc5fc2b1936df6fafaaded89e5d1588194e62854f

Observation 1d69ef29-61a9-4947-80ee-fd78e72157c1 · outbound

This paper cites Izhikecich, Dynamical Systems in Neuroscience: The Geometry of Excitab ility and Burst- ing, MIT Press, Cambridge, Massachusetts, 2007.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Izhikecich, Dynamical Systems in Neuroscience: The Geometry of Excitab ility and Burst- ing, MIT Press, Cambridge, Massachusetts, 2007

Reference 19

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source=pdf_text observed=2026-08-14T13:30:25.093059Z digest=sha256:1bb8d54e169d65a5cc34858ea9eaaabea67c431b5a19f3595501b1c407ad2597

Observation f626762c-7e35-40ab-b55d-b5a9bfa50f29 · outbound

This paper cites Kloeden and J.A.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Kloeden and J.A

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:30:25.103195Z digest=sha256:8013b61e937547ecb057c83902056b7e9f4c93172521c9d9734fd385c4d41b9d

Observation 4777a687-ef64-4937-82bb-ff681d9cc2e9 · outbound

This paper cites an unresolved cited work.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-14T13:30:25.108997Z digest=sha256:a54910851c51e711d0925c6c27bd61c762def02884098266fcf19d7287346946

Observation e39e7599-4060-4fcf-81da-d9939472d75a · outbound

This paper cites Milani and N.J.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Milani and N.J

Reference 22

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source=pdf_text observed=2026-08-14T13:30:25.119363Z digest=sha256:fd8ee81e445d0299491b0db09edb8c449c4fdd3f23e9906e2a856f56c3ddc808

Observation 532ecafa-5f2b-417a-9fe6-6e007cf090a6 · outbound

This paper cites Global Attractors for Hindmarsh-Rose Equations in Neurodynamics.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Global Attractors for Hindmarsh-Rose Equations in Neurodynamics

Reference 23

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source=pdf_text observed=2026-08-14T13:30:25.124769Z digest=sha256:5ccf8b3dc7c0bf6d610f0c6e5ea55bf8fccbd69bf1da38b374aea21fa82a3486

Observation e6580af2-df3d-49ca-b4b9-bf0f64940f76 · outbound

This paper cites Rinzel, A formal classification of bursting mechanism in excitable s ystems, Proceedings of International Congress of Mathematics, 1 (1987), 1578–1593.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Rinzel, A formal classification of bursting mechanism in excitable s ystems, Proceedings of International Congress of Mathematics, 1 (1987), 1578–1593

Reference 24

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source=pdf_text observed=2026-08-14T13:30:25.130613Z digest=sha256:d7d732aae6371d67d0356ac476b7bacd716433c06e4f438146709756688e0cee

Observation 7ec31ecc-2a68-4b5a-8dbd-32f5fce68f7a · outbound

This paper cites an unresolved cited work.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Unresolved cited work

Reference 25

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:30:25.137607Z digest=sha256:d6b42a8ae6dcedf059e4714bba3a28923822b660c3899b9ed82e136ebd99f780

Observation ce74480a-9cf6-435c-b2ee-42caf0059d21 · outbound

This paper cites Rubin, Bursting induced by excitatory synaptic coupling in nonide ntical conditional relaxation oscillators or square-wave bursters , Physics Review E, 74 (2006), 021917.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Rubin, Bursting induced by excitatory synaptic coupling in nonide ntical conditional relaxation oscillators or square-wave bursters , Physics Review E, 74 (2006), 021917

Reference 26

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source=pdf_text observed=2026-08-14T13:30:25.144632Z digest=sha256:39b6036674c93a89f9d9801bc3a3f3fdcfb308d11c16308eb41342b9b9729402

Observation 16efb193-74e7-4b87-85d1-19d33d796d1e · outbound

This paper cites an unresolved cited work.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Unresolved cited work

Reference 27

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source=pdf_text observed=2026-08-14T13:30:25.150908Z digest=sha256:905ced270dc43997540ab2ac3016703eed03a575b4079f1e56a483ffc0091472

Observation 1b5eb924-6cb2-48f9-ad50-9b42215f1525 · outbound

This paper cites Shapiro, R.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Shapiro, R

Reference 28

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source=pdf_text observed=2026-08-14T13:30:25.157378Z digest=sha256:aefe3141f1928b9a1a4a909808511526ea44cce56db628643b2d3797e308778b

Observation e40924bf-6064-4358-bc81-8cb56dc1a1eb · outbound

This paper cites Sherman and J.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Sherman and J

Reference 29

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raw_fallback, observed 2026-08-14T13:30:25.410597Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:30:25.162692Z digest=sha256:0f733b362f75a4ba305fce8e3f5d64a1efb7e63d0453325d2180c0be793b612e

Observation f487839e-7dc8-4132-81a2-0271a779f48f · outbound

This paper cites an unresolved cited work.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Unresolved cited work

Reference 30

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source=pdf_text observed=2026-08-14T13:30:25.167327Z digest=sha256:4855c1fd856a132c34d2d1edc7e057ab9ce33cd1dbe33025979873856b345b98

Observation 576741f6-6e44-4deb-939c-7b1421f5fe6e · outbound

This paper cites Temam, ”Infinite Dimensional Dynamical Systems in Mechanics anf Physics”, 2nd edition, Springer, New York, (2013).

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Temam, ”Infinite Dimensional Dynamical Systems in Mechanics anf Physics”, 2nd edition, Springer, New York, (2013)

Reference 31

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source=pdf_text observed=2026-08-14T13:30:25.171940Z digest=sha256:de8517fa773491af7b6fa923d687c2ab3c802147f2e701c11104841f9f3ebcfc

Observation 0c224f57-fbb5-4552-8bbe-428d146ae96e · outbound

This paper cites Terman, Chaotic spikes arising from a model of bursting in excitable membrane, J.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Terman, Chaotic spikes arising from a model of bursting in excitable membrane, J

Reference 32

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no resolver link, observed 2026-08-14T13:30:25.177663Z

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source=pdf_text observed=2026-08-14T13:30:25.177663Z digest=sha256:73a0735c2093fceac922d4e19542848f67234da85a8d2c5a291c16b790cf460c

Observation a2328d5e-9a3d-4ea6-9314-5563aac17cdb · outbound

This paper cites Wang and X.R.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Wang and X.R

Reference 33

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no resolver link, observed 2026-08-14T13:30:25.184260Z

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source=pdf_text observed=2026-08-14T13:30:25.184260Z digest=sha256:7a049023ea3b573ddc2d68d3a732f27eafb9c820bb95d83e2aa640bdcb523b9f

Observation 5f4bd22a-b7f1-4f56-98e3-9245b7c075f3 · outbound

This paper cites Yagi, Exponential attractors for competing species model with cr oss-diffusions , Discrete and Continuous Dynamical Systems, Ser.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Yagi, Exponential attractors for competing species model with cr oss-diffusions , Discrete and Continuous Dynamical Systems, Ser

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:25.356753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:30:25.194095Z digest=sha256:f66c5d3c71708e63dbfe31c62accdf4fcd6a7240a60500e80aa1b31243e1fe07

Observation c6b3beec-8e29-4c20-88f9-071a44e02a16 · outbound

This paper cites You, Global attractor of Gray-Scott equations , Comm.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics You, Global attractor of Gray-Scott equations , Comm

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:25.340284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:30:25.200838Z digest=sha256:97dadefad3789317f67228fcfb3a1b9b1a5dc2643cb581c4f15182d45ce81ed3

Observation 7fb44ef6-2583-428f-a98e-4c1e2112ca12 · outbound

This paper cites You, Dynamics of three-component reversible Gray-Scott model , Discrete and Continuous Dynamical Systems, Ser.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics You, Dynamics of three-component reversible Gray-Scott model , Discrete and Continuous Dynamical Systems, Ser

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:30:25.322529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:30:25.207358Z digest=sha256:f462e25e3913f1d0ea195fc4922bccacdfd99509009fdd6bc01544565995dc01

Observation 3fd7bf5b-b4a3-410c-83b1-a66505984c59 · outbound

This paper cites You, Global dynamics and robustness of reversible autocatalyti c reaction-diffusion systems , Nonlinear Analysis, Series A, 75 (2012), 3049–3071.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics You, Global dynamics and robustness of reversible autocatalyti c reaction-diffusion systems , Nonlinear Analysis, Series A, 75 (2012), 3049–3071

Reference 37

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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This paper cites You, Random attractors and robustness for stochastic reversibl e reaction-diffusion systems , Discrete and Continuous Dynamical Systems, Series A, 34 (2014), 301–333.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics You, Random attractors and robustness for stochastic reversibl e reaction-diffusion systems , Discrete and Continuous Dynamical Systems, Series A, 34 (2014), 301–333

Reference 38

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Observation ca9c1194-a499-4328-ba17-1146da1b3546 · outbound

This paper cites Zhang, A.

Exponential Attractor for Hindmarsh-Rose Equations in Neurodynamics Zhang, A

Reference 39

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