Pith. sign in

Paper Citation Record · LEDGER

Chaos suppression in a Gompertz-like discrete system of fractional order

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.11195.

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

pith.paper-citation-record.v1
1908.11195 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:43:55.736093Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

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.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy21
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7afc94ab-2f51-4868-9f0b-040d6f929a70 · outbound

This paper cites and Ashwin P.

Chaos suppression in a Gompertz-like discrete system of fractional order and Ashwin P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.955873Z

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=arxiv_source observed=2026-08-14T12:43:55.659228Z digest=sha256:378f8e69f9b0589c9904fe8c951601573660ff3359dc5a32fac1353ff83e2430

Observation 54e6a507-6960-43ae-b39d-9557f96ec37f · outbound

This paper cites [1825] ``On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies'', Phil.

Chaos suppression in a Gompertz-like discrete system of fractional order [1825] ``On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies'', Phil

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.948344Z

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=arxiv_source observed=2026-08-14T12:43:55.663273Z digest=sha256:a426563cebb032b79549b698f71253cb82d38dcc09704129b8488b8fd17de28a

Observation 4815c36b-0d29-492d-95be-c8150e70b969 · outbound

This paper cites [1932] ``The Gompertx curve as a growth equation'', Proc.

Chaos suppression in a Gompertz-like discrete system of fractional order [1932] ``The Gompertx curve as a growth equation'', Proc

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.941241Z

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=arxiv_source observed=2026-08-14T12:43:55.667600Z digest=sha256:79361469400d0d38d18d0b5732eb67a9f3544509f4edeebe62d21731d2e6e547

Observation dd31206e-a5b0-455d-a9ab-ab158bf4c0c9 · outbound

This paper cites [1990] ``Role of optimal control theory in cancer chemotherapy'', Math.

Chaos suppression in a Gompertz-like discrete system of fractional order [1990] ``Role of optimal control theory in cancer chemotherapy'', Math

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.933338Z

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=arxiv_source observed=2026-08-14T12:43:55.671634Z digest=sha256:0431c9643849e5504b600ff7e29071c0b2a42b24f293fc53ae2e9b94333b1f69

Observation 5bae965f-b60e-4939-b262-12d5c6de823f · outbound

This paper cites [1992] ``Fractals and chaos in cancer models'', Int.

Chaos suppression in a Gompertz-like discrete system of fractional order [1992] ``Fractals and chaos in cancer models'', Int

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.924578Z

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=arxiv_source observed=2026-08-14T12:43:55.675517Z digest=sha256:e788d76807761a5ce446cd57e633fd6024089831479982f52537f09b7379f88d

Observation 272e9699-8fe5-4230-bb52-c847123f7843 · outbound

This paper cites 2014 ``Discrete fractional logistic map and its chaos'', Nonlinear Dynam.

Chaos suppression in a Gompertz-like discrete system of fractional order 2014 ``Discrete fractional logistic map and its chaos'', Nonlinear Dynam

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.915656Z

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=arxiv_source observed=2026-08-14T12:43:55.681027Z digest=sha256:15bd5c03ecb38502ca8a5a68f941f775a9ea91315213fec75a7a7240a8a6f849

Observation 1f7e0046-def9-439d-ac5d-7fd69ab1d42c · outbound

This paper cites [2015] Discrete Fractional Calculus (Springer).

Chaos suppression in a Gompertz-like discrete system of fractional order [2015] Discrete Fractional Calculus (Springer)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.905061Z

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=arxiv_source observed=2026-08-14T12:43:55.685408Z digest=sha256:57096bef087b987414028be3dbe8fa3b196b316acaba0f3412f1fb3d875a1f95

Observation fa460996-e874-4faf-b63c-f221e08f5ac7 · outbound

This paper cites [2014] ``Note on fractional difference Gronwall inequalities'', Electron.

Chaos suppression in a Gompertz-like discrete system of fractional order [2014] ``Note on fractional difference Gronwall inequalities'', Electron

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.895439Z

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=arxiv_source observed=2026-08-14T12:43:55.689971Z digest=sha256:64a88628477e8292ec2b2ddc1ff76f59261ca53984bf3ed3074f534dbb3d2ff2

Observation efd7282e-552f-44da-ad94-38e30fc07aa3 · outbound

This paper cites and Codreanu, S.

Chaos suppression in a Gompertz-like discrete system of fractional order and Codreanu, S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.885284Z

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=arxiv_source observed=2026-08-14T12:43:55.692955Z digest=sha256:8e1f5ce39f8d8494e1e5efd15c4f04eb91920ebddf396e1ce538a4bfc9754175

Observation 8efe04e5-5869-495e-bcb6-eedc7ec2c1df · outbound

This paper cites and Matias, M.A.

Chaos suppression in a Gompertz-like discrete system of fractional order and Matias, M.A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.877595Z

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=arxiv_source observed=2026-08-14T12:43:55.695972Z digest=sha256:0628c32b4fe779db4f659133fda5dad8dbac77caaa751e934fa36294e5a60649

Observation 31c2653f-650b-4cd2-9319-b82698ed5b1e · outbound

This paper cites [2016] ``Suppressing chaos in a simplest autonomous memristorbased circuit of fractional order by periodic impulses'', Chaos Soliton Fract.

Chaos suppression in a Gompertz-like discrete system of fractional order [2016] ``Suppressing chaos in a simplest autonomous memristorbased circuit of fractional order by periodic impulses'', Chaos Soliton Fract

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.867139Z

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=arxiv_source observed=2026-08-14T12:43:55.699764Z digest=sha256:2c7c918cc9649103b1f69709563230bf858527365c3fd7b43aaf547c74596fde

Observation bb5451af-dfaf-4371-865e-8e7231f2f43c · outbound

This paper cites [2015] ``Suppressing chaos in discontinuous systems of fractional order by active control'', Appl.

Chaos suppression in a Gompertz-like discrete system of fractional order [2015] ``Suppressing chaos in discontinuous systems of fractional order by active control'', Appl

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.855143Z

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=arxiv_source observed=2026-08-14T12:43:55.703743Z digest=sha256:77de41732e800b736239e1cc6aacf2f61d08b2d16032a3c1a60a73a2863b1921

Observation 47332c17-0484-4117-8bcf-d2b13a8d6b31 · outbound

This paper cites [2015] ``Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps'', Commun.

Chaos suppression in a Gompertz-like discrete system of fractional order [2015] ``Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps'', Commun

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.846181Z

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=arxiv_source observed=2026-08-14T12:43:55.707220Z digest=sha256:b3b11ec3e4fbb6bba090aad8a13fed7e7db01bf62094c49d05507056395a5e61

Observation eb37ac67-70b5-44b7-a00b-ed0aee23c084 · outbound

This paper cites [2012] ``Chaos suppression via periodic change of variables in a class of discontinuous dynamical systems of fractional order'', Nonlinear Dynam.

Chaos suppression in a Gompertz-like discrete system of fractional order [2012] ``Chaos suppression via periodic change of variables in a class of discontinuous dynamical systems of fractional order'', Nonlinear Dynam

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.839011Z

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=arxiv_source observed=2026-08-14T12:43:55.710663Z digest=sha256:86d91f3a3157be290d0d207a234c9432eed2f402f13bcb1381586f87dc3bb5ed

Observation 6742c49e-2fcc-409e-b12c-763bf675c1ce · outbound

This paper cites and Schreiber I.

Chaos suppression in a Gompertz-like discrete system of fractional order and Schreiber I

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.832033Z

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=arxiv_source observed=2026-08-14T12:43:55.714547Z digest=sha256:f6fb26f736d2be581dcd6604f6d90bbda6ca59df016ef6d883ba57f546f80260

Observation 5a452e5c-5b23-4b2c-894b-f6348648e80d · outbound

This paper cites ``Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional diff erence equations'', Appl.

Chaos suppression in a Gompertz-like discrete system of fractional order ``Nonexistence of periodic solutions and S-asymptotically periodic solutions in fractional diff erence equations'', Appl

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.822735Z

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=arxiv_source observed=2026-08-14T12:43:55.717992Z digest=sha256:e130ab73ea8f79166f9833a4a191deaef83f5987d19e5287d99737132631c36b

Observation 9747205d-8e1a-4ffe-a713-66d98f289346 · outbound

This paper cites and Chen G.

Chaos suppression in a Gompertz-like discrete system of fractional order and Chen G

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.813200Z

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=arxiv_source observed=2026-08-14T12:43:55.721114Z digest=sha256:d445d696a663131cabe193968371431f9cf7b99d0250cf64b71d6a0bc62528a0

Observation 3f0266da-a2cf-40cf-b5c7-827935ab07aa · outbound

This paper cites [2004] ``A new test for chaos in deterministic systems'', Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 460(2042)603--611.

Chaos suppression in a Gompertz-like discrete system of fractional order [2004] ``A new test for chaos in deterministic systems'', Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 460(2042)603--611

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.801967Z

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=arxiv_source observed=2026-08-14T12:43:55.723886Z digest=sha256:02eedcd9ac87d65c6ec4286e16ad62fc924f1e35f99ee123e869ae8a0aad882d

Observation efdc7815-de4f-4afe-ade4-c31fd122c34a · outbound

This paper cites [2009] ``On the implementation of the 0-1 test for chaos'', SIAM J.

Chaos suppression in a Gompertz-like discrete system of fractional order [2009] ``On the implementation of the 0-1 test for chaos'', SIAM J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.791334Z

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=arxiv_source observed=2026-08-14T12:43:55.727074Z digest=sha256:b675c9da8cc5b93ba3a7ffc710ef8dfd50a7a42b29f1e22f91c7c58f23bf5e58

Observation 2496dc72-7a1a-4aa6-b08c-f9094b2f20fa · outbound

This paper cites and Lakshmanan M.

Chaos suppression in a Gompertz-like discrete system of fractional order and Lakshmanan M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.782628Z

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=arxiv_source observed=2026-08-14T12:43:55.730630Z digest=sha256:c5a9cb518e633866ce9eebd665df9801aec35e6aaeda548be48e648411d8ff8b

Observation ea98a5d9-ebb7-4fa4-919b-0190a9313a50 · outbound

This paper cites an unresolved cited work.

Chaos suppression in a Gompertz-like discrete system of fractional order Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:43:55.772245Z

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=arxiv_source observed=2026-08-14T12:43:55.733172Z digest=sha256:1b8b0a77c1f155f0b4be3e90e7c107c0c2258612dc82101396b11593304ad907

Observation f5064e62-ea32-4d36-8da2-c6e4e4efb2f5 · outbound

This paper cites [2004] ``Controlling chaos in discontinuous dynamical systems'', Chaos Soliton Fract.

Chaos suppression in a Gompertz-like discrete system of fractional order [2004] ``Controlling chaos in discontinuous dynamical systems'', Chaos Soliton Fract

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:43:55.761340Z

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=arxiv_source observed=2026-08-14T12:43:55.736093Z digest=sha256:57af081f54eb355d43b7e1ff2aa613034400f3cdd72acef4d104b497ef115636

Pith citing papers

No inbound Pith citation observations are available.