Paper Citation Record · LEDGER

Optimal control of symmetry-breaking dynamics near criticality

As of 10 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2607.16188.

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pith.paper-citation-record.v1
2607.16188 v1

Coverage vector

measured 39 of 39 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T21:11:14.330202Z

measured 39 of 39 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

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Reference resolution

39 of 39 outbound references displayed

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Outbound references

Observation b45ee3d9-45d4-42f2-ac99-8db9b786a718 · outbound

This paper cites Local feedback stabilization and bifurcation control, i.

Optimal control of symmetry-breaking dynamics near criticality Local feedback stabilization and bifurcation control, i

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:11.609805Z

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Observation 659c840b-3fd7-4c33-ac64-5d237088b50d · outbound

This paper cites Local feedback stabilization and bifurcation control, ii.

Optimal control of symmetry-breaking dynamics near criticality Local feedback stabilization and bifurcation control, ii

Reference 2

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Observation 5db6f3eb-80e7-408a-b15a-0ebf5c7cabb4 · outbound

This paper cites Birkh¨ auser, 2012.

Optimal control of symmetry-breaking dynamics near criticality Birkh¨ auser, 2012

Reference 3

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Observation 487b878c-dcc3-42d9-8ae8-7a50e861d313 · outbound

This paper cites On the optimal stabilization of nonlinear systems.Journal of Applied Mathe- matics and Mechanics, 25(5):1254–1266, 1961.

Optimal control of symmetry-breaking dynamics near criticality On the optimal stabilization of nonlinear systems.Journal of Applied Mathe- matics and Mechanics, 25(5):1254–1266, 1961

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:11.918994Z

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Observation 7cd945ab-867e-4d20-ae77-d46dd04bd074 · outbound

This paper cites Optimal control in soft and active matter.Annual Review of Condensed Matter Physics, 17, 2026.

Optimal control of symmetry-breaking dynamics near criticality Optimal control in soft and active matter.Annual Review of Condensed Matter Physics, 17, 2026

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:12.010577Z

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Observation b65b03a6-4203-4cd1-b7b2-d1f449c27956 · outbound

This paper cites Information bottleneck in molecular sensing.PRX Life, 1(2):023005, 2023.

Optimal control of symmetry-breaking dynamics near criticality Information bottleneck in molecular sensing.PRX Life, 1(2):023005, 2023

Reference 6

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Observation 6237ef0c-ac7d-4cba-889b-386d592c1470 · outbound

This paper cites Wiley, 1988.

Optimal control of symmetry-breaking dynamics near criticality Wiley, 1988

Reference 7

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Observation aa7fd79f-2384-464c-b2bb-dec52e583650 · outbound

This paper cites an unresolved cited work.

Optimal control of symmetry-breaking dynamics near criticality Unresolved cited work

Reference 8

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Observation 8d97d832-13bf-4ce9-8cb4-587b3bfee0c1 · outbound

This paper cites Additive noise destroys a pitchfork bifurcation.Journal of Dynamics and Differential Equations, 10(2):259–274, 1998.

Optimal control of symmetry-breaking dynamics near criticality Additive noise destroys a pitchfork bifurcation.Journal of Dynamics and Differential Equations, 10(2):259–274, 1998

Reference 9

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Observation bd2a0830-bcb5-4737-bb20-6076ad440768 · outbound

This paper cites Bistability, bifurcations, and waddington’s epigenetic landscape.Current Biology, 22(11):R458–R466, 2012.

Optimal control of symmetry-breaking dynamics near criticality Bistability, bifurcations, and waddington’s epigenetic landscape.Current Biology, 22(11):R458–R466, 2012

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:12.501271Z

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Observation 936143a2-d5de-4beb-b77f-72a20aa2104b · outbound

This paper cites On small random perturbations of dynamical systems.Russian Mathematical Surveys, 25(1):1–55, 1970.

Optimal control of symmetry-breaking dynamics near criticality On small random perturbations of dynamical systems.Russian Mathematical Surveys, 25(1):1–55, 1970

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:12.555535Z

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Observation c19029c1-8b54-4a0f-8e90-60651319c0f9 · outbound

This paper cites an unresolved cited work.

Optimal control of symmetry-breaking dynamics near criticality Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:12.606608Z

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Observation 6982e7da-4a47-42c6-b32a-b51470302669 · outbound

This paper cites Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold.Journal of Statistical Mechanics: Theory and Experiment, 2017(9):093208, 2017.

Optimal control of symmetry-breaking dynamics near criticality Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold.Journal of Statistical Mechanics: Theory and Experiment, 2017(9):093208, 2017

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:12.657451Z

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Observation bfc576ae-4ace-4d47-9efc-000635e7111b · outbound

This paper cites Probing the limits to positional information.Cell, 130(1):153–164, 2007.

Optimal control of symmetry-breaking dynamics near criticality Probing the limits to positional information.Cell, 130(1):153–164, 2007

Reference 14

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Observation 9511cfd8-ee43-4ae3-9ebf-4f5fdba59fd8 · outbound

This paper cites Springer-Verlag, New York, 1983.

Optimal control of symmetry-breaking dynamics near criticality Springer-Verlag, New York, 1983

Reference 15

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Observation 39c9df15-ee37-425b-b7f3-883323eef0d5 · outbound

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Optimal control of symmetry-breaking dynamics near criticality Unresolved cited work

Reference 16

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Observation ce053a8f-4ab7-494e-bfff-426bb3cd278f · outbound

This paper cites Bifurcation and normal form of nonlinear control systems, part I.SIAM Journal on Control and Optimization, 36(1):193–212, 1998.

Optimal control of symmetry-breaking dynamics near criticality Bifurcation and normal form of nonlinear control systems, part I.SIAM Journal on Control and Optimization, 36(1):193–212, 1998

Reference 17

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Observation a7b27b28-5c23-4d5b-8345-a28504c36082 · outbound

This paper cites Courier Corporation, 2004.

Optimal control of symmetry-breaking dynamics near criticality Courier Corporation, 2004

Reference 18

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Observation 820043a6-150d-437e-9b52-59d90628945f · outbound

This paper cites Khalil, and John O’Reilly.Singular Perturbation Methods in Control: Analysis and Design.

Optimal control of symmetry-breaking dynamics near criticality Khalil, and John O’Reilly.Singular Perturbation Methods in Control: Analysis and Design

Reference 19

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Observation 8c8b34af-17ba-4620-bc29-56558e3eaf98 · outbound

This paper cites Al’brekht’s method for time varying, finite horizon optimal control problems.

Optimal control of symmetry-breaking dynamics near criticality Al’brekht’s method for time varying, finite horizon optimal control problems

Reference 20

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Observation 4f18f702-d6a7-471e-bc40-29726e91d7b8 · outbound

This paper cites Krener, Wei Kang, and Dong Eui Chang.

Optimal control of symmetry-breaking dynamics near criticality Krener, Wei Kang, and Dong Eui Chang

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:13.129473Z

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Observation 6d78549b-6bfd-4ffc-8328-22124cc9a445 · outbound

This paper cites Nonlinear aeroelastic analysis of airfoils: bifurcation and chaos.Progress in Aerospace Sciences, 35(3):205–334, 1999.

Optimal control of symmetry-breaking dynamics near criticality Nonlinear aeroelastic analysis of airfoils: bifurcation and chaos.Progress in Aerospace Sciences, 35(3):205–334, 1999

Reference 22

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Observation 05a6c34e-313a-4512-81cf-f0591a6a7261 · outbound

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Optimal control of symmetry-breaking dynamics near criticality Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:13.281154Z

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Observation 073e15de-dd00-4ea7-a713-6103e35f19d2 · outbound

This paper cites Are biological systems poised at criticality?Journal of Statistical Physics, 144(2):268–302, 2011.

Optimal control of symmetry-breaking dynamics near criticality Are biological systems poised at criticality?Journal of Statistical Physics, 144(2):268–302, 2011

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:13.350614Z

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Observation 46d50d90-b009-4180-aaba-248ad8ce2a80 · outbound

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Optimal control of symmetry-breaking dynamics near criticality Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:13.400609Z

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Observation 336dd1f2-5f49-44f3-95a1-c52ed942be8f · outbound

This paper cites Optimal control of gene regulatory networks for morphogen-driven tissue patterning.Cell Systems, 14(11):940–952, 2023.

Optimal control of symmetry-breaking dynamics near criticality Optimal control of gene regulatory networks for morphogen-driven tissue patterning.Cell Systems, 14(11):940–952, 2023

Reference 26

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Observation 49b153e1-69c4-4392-9990-0d8c5314f751 · outbound

This paper cites Routledge, 2018.

Optimal control of symmetry-breaking dynamics near criticality Routledge, 2018

Reference 27

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Observation f2d1de61-20ff-4c94-ba2b-152ed7bbaca4 · outbound

This paper cites Long time versus steady state optimal control.SIAM Journal on Control and Optimization, 51(6):4242–4273, 2013.

Optimal control of symmetry-breaking dynamics near criticality Long time versus steady state optimal control.SIAM Journal on Control and Optimization, 51(6):4242–4273, 2013

Reference 28

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Observation 0cd20f8d-807d-4aca-bc2e-651d337938d2 · outbound

This paper cites Remarks on long time versus steady state optimal control.

Optimal control of symmetry-breaking dynamics near criticality Remarks on long time versus steady state optimal control

Reference 29

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Observation d60e8c73-9219-406b-b538-e245c9149381 · outbound

This paper cites Ge- ometry of gene regulatory dynamics.Proceedings of the National Academy of Sciences, 118(38):e2109729118, 2021.

Optimal control of symmetry-breaking dynamics near criticality Ge- ometry of gene regulatory dynamics.Proceedings of the National Academy of Sciences, 118(38):e2109729118, 2021

Reference 30

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Observation 9e2a59fe-4caa-4402-ba6c-832624f44fda · outbound

This paper cites Front interaction and nonhomoge- neous equilibria for tristable reaction-diffusion equations.SIAM Journal on Applied Mathe- matics, 53(6):1669–1685, 1993.

Optimal control of symmetry-breaking dynamics near criticality Front interaction and nonhomoge- neous equilibria for tristable reaction-diffusion equations.SIAM Journal on Applied Mathe- matics, 53(6):1669–1685, 1993

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:13.771716Z

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Observation 754b8d97-a099-46e1-966c-84d8e02e8d85 · outbound

This paper cites Statistically derived geometrical landscapes capture principles of decision- making dynamics during cell fate transitions.Cell Systems, 13(1):12–28, 2022.

Optimal control of symmetry-breaking dynamics near criticality Statistically derived geometrical landscapes capture principles of decision- making dynamics during cell fate transitions.Cell Systems, 13(1):12–28, 2022

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:13.835409Z

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Observation b920c53c-ba8e-4243-9f6a-d1b6f7269cf6 · outbound

This paper cites The turnpike property in nonlinear optimal control—a geometric approach.Automatica, 134:109939, 2021.

Optimal control of symmetry-breaking dynamics near criticality The turnpike property in nonlinear optimal control—a geometric approach.Automatica, 134:109939, 2021

Reference 33

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Observation 9271a872-aad0-4510-b9dd-f78b9518ac3b · outbound

This paper cites van der Schaft.

Optimal control of symmetry-breaking dynamics near criticality van der Schaft

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:14.016302Z

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Observation f0156d92-f202-4ea1-929d-39f0e02e32db · outbound

This paper cites Optimal control of short-time attractors in active nematics.Physical Review Letters, 132(21):218302, 2024.

Optimal control of symmetry-breaking dynamics near criticality Optimal control of short-time attractors in active nematics.Physical Review Letters, 132(21):218302, 2024

Reference 35

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Observation e71bd08e-c0a3-4a8e-9356-a75878a6efb2 · outbound

This paper cites The turnpike property in finite-dimensional nonlinear optimal control.Journal of Differential Equations, 258(1):81–114, 2015.

Optimal control of symmetry-breaking dynamics near criticality The turnpike property in finite-dimensional nonlinear optimal control.Journal of Differential Equations, 258(1):81–114, 2015

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:14.117398Z

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Observation e05b6d36-fb86-4381-aaea-fa51dda7c304 · outbound

This paper cites Turnpike in optimal control and beyond: a survey.

Optimal control of symmetry-breaking dynamics near criticality Turnpike in optimal control and beyond: a survey

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:14.189810Z

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Observation baa4a862-24ce-4952-8d06-07e144ffe7db · outbound

This paper cites Waddington.The Strategy of the Genes.

Optimal control of symmetry-breaking dynamics near criticality Waddington.The Strategy of the Genes

Reference 38

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Observation 610b0070-f834-49f5-8554-2a6b040c04e1 · outbound

This paper cites Quantifying the Waddington landscape and biological paths for development and differentiation.Proceedings of the National Academy of Sciences, 108(20):8257–8262, 2011.

Optimal control of symmetry-breaking dynamics near criticality Quantifying the Waddington landscape and biological paths for development and differentiation.Proceedings of the National Academy of Sciences, 108(20):8257–8262, 2011

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T21:11:14.330202Z

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