https://pinboard.in/u:Vaguery/public/ recent bookmarks from Vaguery 2026-06-03T13:32:21+00:00 https://arxiv.org/abs/2411.12515 Vaguery biophysics cell-biology nonlinear-dynamics rather-interesting developmental-biology models theoretical-biology physiology self-organization https://pinboard.in/ https://pinboard.in/u:Vaguery/b:b33a9f06eae1/ 2026-05-26T20:07:52+00:00 https://arxiv.org/abs/2507.18467 Vaguery reservoir-computing neural-networks compressed-sensing compression rather-interesting to-understand nonlinear-dynamics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:d5ea99dd617f/ 2026-05-26T20:05:20+00:00 https://arxiv.org/abs/2502.07192 Vaguery coupled-oscillators nonlinear-dynamics machine-learning neural-networks Hebbian-networks to-understand https://pinboard.in/ https://pinboard.in/u:Vaguery/b:77d9725b322e/ 2026-05-25T16:57:55+00:00 https://arxiv.org/abs/2408.09041 Vaguery granular-materials nonlinear-dynamics materials-science metamaterials rather-interesting physics! looking-to-see https://pinboard.in/ https://pinboard.in/u:Vaguery/b:8a6e393828b1/ 2026-05-24T17:17:59+00:00 https://hal.science/hal-05574765v1 Vaguery dynamical-systems Collatz nonlinear-dynamics statistical-mechanics rather-interesting to-write-about to-simulate https://pinboard.in/ https://pinboard.in/u:Vaguery/b:71e9416a54d4/ 2026-05-24T12:14:16+00:00 https://arxiv.org/abs/2404.05472 Vaguery systems-dynamics representation games nonlinear-dynamics rather-interesting probability-theory load-balancing engineering-design to-write-about to-simulate https://pinboard.in/ https://pinboard.in/u:Vaguery/b:d54d74c2bdbc/ 2026-05-24T11:57:00+00:00 https://arxiv.org/abs/2012.03892 Vaguery nonlinear-dynamics rewriting-systems dynamical-systems permutations research-maneuvers rather-interesting to-write-about to-simulate consider:L-systems https://pinboard.in/ https://pinboard.in/u:Vaguery/b:fdc10ba71d50/ 2026-05-24T10:53:42+00:00 https://arxiv.org/abs/2408.06691 Vaguery nonlinear-dynamics cellular-automata ergodic-systems combinatorics complexology rather-interesting classification to-write-about to-simulate https://pinboard.in/ https://pinboard.in/u:Vaguery/b:163a69784c1b/ 2026-04-20T15:50:49+00:00 https://arxiv.org/abs/2502.06926 Vaguery tiling monotiles! quasicrystals nonlinear-dynamics rather-interesting spectra aperiodic-tiling to-simulate consider:animation https://pinboard.in/ https://pinboard.in/u:Vaguery/b:84b51209adc8/ 2026-04-20T11:43:03+00:00 https://arxiv.org/abs/2309.16100 Vaguery rewriting-systems strings nonlinear-dynamics mathematical-recreations mathematics to-understand consider:feature-discovery consider:inverse-problem https://pinboard.in/ https://pinboard.in/u:Vaguery/b:90c29aada2bb/ 2026-02-20T15:39:15+00:00 https://arxiv.org/abs/2106.10504 Vaguery rewriting-systems nonlinear-dynamics symbolic-dynamics self-similarity number-theory group-theory to-understand to-write-about https://pinboard.in/ https://pinboard.in/u:Vaguery/b:8384ed2c019a/ 2026-01-18T21:15:24+00:00 https://arxiv.org/abs/2512.23146 Vaguery machine-learning algorithms neural-networks representation rather-interesting nonlinear-dynamics collective-behavior to-understand consider:parameter-fitting consider:structure-learning biologically-inspired https://pinboard.in/ https://pinboard.in/u:Vaguery/b:85f0f61be13d/ 2026-01-18T20:44:41+00:00 https://arxiv.org/abs/2511.15533 Vaguery network-theory nonlinear-dynamics self-organization self-assembly rather-interesting complexology to-understand to-simulate consider:L1-geometry https://pinboard.in/ https://pinboard.in/u:Vaguery/b:d8d44de8f4c9/ 2026-01-01T01:30:54+00:00 https://arxiv.org/abs/2112.15563 Vaguery nonlinear-dynamics rewriting-systems strings looking-to-see stochastic-systems information-theory rather-interesting to-understand https://pinboard.in/ https://pinboard.in/u:Vaguery/b:6b78b87504f8/ 2025-12-10T14:31:54+00:00 https://www.nature.com/articles/s41557-025-01981-y Vaguery reaction-networks artificial-life reservoir-computing biochemistry nonlinear-dynamics indistinguishable-from-magic to-write-about https://pinboard.in/ https://pinboard.in/u:Vaguery/b:ed6e937bb4ae/ 2025-12-01T15:55:32+00:00 https://arxiv.org/abs/2308.06277 Vaguery boolean-networks neural-networks approximation rather-interesting nonlinear-dynamics complexology to-write-about to-simulate https://pinboard.in/ https://pinboard.in/u:Vaguery/b:d77e837ab688/ 2025-12-01T13:11:59+00:00 https://iopscience.iop.org/article/10.1088/1742-5468/ae120e Vaguery neural-networks simulation Hopfield-networks rather-interesting nonlinear-dynamics to-understand optimal-control https://pinboard.in/ https://pinboard.in/u:Vaguery/b:a65bf7835b75/ 2025-11-01T20:38:15+00:00 https://arxiv.org/abs/2508.16441 Vaguery number-theory rewriting-systems nonlinear-dynamics rather-interesting continued-fractions computational-dynamics to-understand to-write-about consider:visualization fractals combinatorics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:88b271621dbf/ 2025-10-29T22:03:01+00:00 https://arxiv.org/abs/2403.18369 Vaguery materials-science engineering finite-elements nonlinear-dynamics simulation rather-interesting to-understand consider:metamaterials consider:numerical-methods consider:approximation https://pinboard.in/ https://pinboard.in/u:Vaguery/b:06e153960f94/ 2025-10-29T22:00:51+00:00 https://arxiv.org/abs/2402.10300 Vaguery nonlinear-dynamics anomaly-detection time-series rather-interesting dimension-reduction to-understand to-simulate algorithms feature-extraction https://pinboard.in/ https://pinboard.in/u:Vaguery/b:fe04d093d18b/ 2025-09-06T15:14:44+00:00 https://arxiv.org/abs/2508.19743 Vaguery nonlinear-dynamics continued-fractions approximation representation to-write-about to-simulate consider:functions-on-maps https://pinboard.in/ https://pinboard.in/u:Vaguery/b:ba3041fef470/ 2025-08-22T13:01:32+00:00 https://arxiv.org/abs/2412.05266 Vaguery biologically-inspired engineering-design looking-to-see granular-materials nonlinear-dynamics rather-interesting robotics nanotechnology fluid-dynamics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:3d766bc18679/ 2025-08-22T12:49:38+00:00 https://pubs.aip.org/aip/cha/article/35/8/083124/3358770/Hierarchical-clustering-in-mean-field-coupled Vaguery coupled-oscillators nonlinear-dynamics clustering rather-interesting to-understand to-simulate consider:non-oscillatory-entrainment phase-transitions edge-of-chaos https://pinboard.in/ https://pinboard.in/u:Vaguery/b:e54d1cd135a1/ 2025-08-18T14:41:29+00:00 https://www.mdpi.com/2504-3110/9/8/528 Vaguery fractals continued-fractions dynamical-systems nonlinear-dynamics rather-interesting to-write-about to-simulate consider:recursion consider:representation diffy-Qs models-and-modes https://pinboard.in/ https://pinboard.in/u:Vaguery/b:21eb00f4dd1f/ 2025-08-17T14:15:14+00:00 https://arxiv.org/abs/2408.03458 Vaguery pattern-formation reaction-diffusion-systems nonlinear-dynamics rather-interesting simulation to-simulate to-write-about consider:object-boundaries https://pinboard.in/ https://pinboard.in/u:Vaguery/b:bd6e5c1bf1b4/ 2025-08-17T12:36:15+00:00 https://arxiv.org/abs/2410.03976 Vaguery boolean-networks Kauffmania rather-interesting nonlinear-dynamics cellular-automata to-understand to-write-about consider:visualization consider:classification robustness? https://pinboard.in/ https://pinboard.in/u:Vaguery/b:c5a0e60e3259/ 2025-08-11T13:53:57+00:00 https://arxiv.org/abs/1802.08349 Vaguery1, while admissible, occurs with different probability. This non-uniform distribution of blocks for m>1 contrasts Dirichlet's theorem that guarantees equiprobability for m=1. We then explore in a similar fashion the sequence of prime gap residues. This sequence is again chaotic (positivity of Kolmogorov-Sinai entropy), however chaos is weaker as we find forbidden patterns for every block of size m>1. We relate the onset of these forbidden patterns with the divisibility properties of integers, and estimate the densities of gap block residues via Hardy-Littlewood k-tuple conjecture. We use this estimation to argue that the amount of admissible blocks is non-uniformly distributed, what supports the fact that the spectrum of Renyi entropies is again non-trivial in this case. We complete our analysis by applying the Chaos Game to these symbolic sequences, and comparing the IFS attractors found for the experimental sequences with appropriate null models. ]]> number-theory chaos-game nonlinear-dynamics rather-interesting generative-models pattern-discovery to-write-about consider:primal-automata consider:digit-CAs https://pinboard.in/ https://pinboard.in/u:Vaguery/b:0c884cf749a3/ 2025-07-25T14:51:38+00:00 https://arxiv.org/abs/2403.04777 Vaguery0. The proposed specifications provide a layered and linearized orientation of Collatz numbers organized in an infinite set of infinite binary trees. To the best of our knowledge, this is the first time that such a general specification is provided, which can have significant applications in analyzing and testing the behaviors of complex non-linear systems. We have implemented this method as a software tool that generates the Collatz numbers of individual stairs. We also show that starting from any value in any convergence stair the conjecture holds. However, to prove the conjecture, one has to show that every natural number will appear in some stair; i.e., the union of all stairs is equal to the set of natural numbers, which remains an open problem. ]]> Collatz-problem nonlinear-dynamics number-theory automata rather-interesting discrete-mathematics to-understand to-simulate consider:analgous-systems https://pinboard.in/ https://pinboard.in/u:Vaguery/b:8bf9887d85ec/ 2025-07-20T13:34:48+00:00 https://research-portal.uu.nl/en/publications/dynamics-of-number-expansions-and-translation-surfaces Vaguery number-theory dynamical-systems nonlinear-dynamics representation rather-interesting continued-fractions to-understand to-write-about consider:rewriting-systems consider:visualization https://pinboard.in/ https://pinboard.in/u:Vaguery/b:9bd39e53430f/ 2025-04-06T19:26:19+00:00 https://arxiv.org/abs/2410.08304 Vaguery nonlinear-dynamics machine-learning reinventing-the-wheel symbolic-regression but-not-quite numerical-methods rather-interesting to-replicate consider:representation consider:performance-measures neural-networks transformer-models https://pinboard.in/ https://pinboard.in/u:Vaguery/b:b39ac4a5b24e/ 2025-04-05T22:41:50+00:00 https://arxiv.org/abs/2309.11470 Vaguery control-theory nonlinear-dynamics robotics rather-interesting to-write-about to-simulate consider:Lyaponov-exponents https://pinboard.in/ https://pinboard.in/u:Vaguery/b:9e2243ef336d/ 2025-01-16T19:30:47+00:00 https://arxiv.org/abs/2501.06123 Vaguery nonlinear-dynamics models-and-modes rather-interesting to-write-about to-generalize consider:as-a-measure-of-robustness https://pinboard.in/ https://pinboard.in/u:Vaguery/b:55f74e967669/ 2024-12-28T14:18:34+00:00 https://arxiv.org/abs/2312.12899 Vaguery reservoir-computing neural-networks nonlinear-dynamics machine-learning indistinguishable-from-magic rather-interesting to-write-about to-simulate https://pinboard.in/ https://pinboard.in/u:Vaguery/b:bebdd58b8999/ 2024-12-21T14:56:00+00:00 https://arxiv.org/abs/2408.03809 Vaguery collective-behavior nonlinear-dynamics agent-based rather-interesting signal-processing to-write-about consider:ways-to-be-wrong consider:interacting-heuristics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:651210233546/ 2024-12-16T15:26:19+00:00 https://arxiv.org/abs/2003.01898 Vagueryϕco, where ϕco is a characteristic area packing fraction marking a transition from fast to slow flow regimes of Tetris particles. Utilizing the concentration mechanism by artificially guiding particles into the central sparse space under the obstacle or narrowing the hopper exit angle under the obstacle, we can create a man-made flow rate peak of relatively strongly-driven particles that initially exhibit no flow rate peak. Additionally, the enhanced flow rate can be maximized by an optimal obstacle shape, particle acceleration rate towards the hopper exit, or exit geometry of the hopper. ]]> granular-materials nonlinear-dynamics queueing-theory physics! consider:animation consider:actual-Tetris https://pinboard.in/ https://pinboard.in/u:Vaguery/b:f75777695bdb/ 2024-11-01T19:11:51+00:00 https://arxiv.org/abs/2211.17095 Vaguery reservoir-computing nonlinear-dynamics neural-networks prediction time-series to-understand indistinguishable-from-magic https://pinboard.in/ https://pinboard.in/u:Vaguery/b:1e8a540476fb/ 2024-11-01T19:07:32+00:00 https://arxiv.org/abs/2101.08348 Vaguery reservoir-computing machine-learning distributed-processing collective-intelligence nonlinear-dynamics to-understand to-write-about to-simulate consider:where-is-the-thing? https://pinboard.in/ https://pinboard.in/u:Vaguery/b:dfc2a5b93f80/ 2024-10-30T12:59:38+00:00 https://arxiv.org/abs/2001.04342 Vaguery reservoir-computing neural-networks sensors signal-processing to-understand nonlinear-dynamics to-write-about consider:antagonistic-noise consider:stochastic-resonance https://pinboard.in/ https://pinboard.in/u:Vaguery/b:2fe9b58c1b75/ 2024-10-30T12:57:48+00:00 https://arxiv.org/abs/2106.09780 Vaguery reservoir-computing nonlinear-dynamics rather-interesting machine-learning to-understand to-write-about consider:symbolic-systems consider:language-models https://pinboard.in/ https://pinboard.in/u:Vaguery/b:e8ec69648b00/ 2024-10-30T12:54:23+00:00 https://arxiv.org/abs/2108.09446 Vaguery reservoid-computing neural-networks nonlinear-dynamics time-series to-understand to-simulate consider:symbolic-processing https://pinboard.in/ https://pinboard.in/u:Vaguery/b:7cb53d432f85/ 2024-10-30T12:49:04+00:00 https://arxiv.org/abs/2304.13125 Vaguery nonlinear-dynamics reservoid-computing machine-learning remarkable-results to-understand to-write-about to-simulate https://pinboard.in/ https://pinboard.in/u:Vaguery/b:b65825dec4e6/ 2024-10-30T12:47:09+00:00 https://arxiv.org/abs/2306.09095 Vaguery nonlinear-dynamics reservoir-computing physical-systems what-a-weird-abstract to-write-about https://pinboard.in/ https://pinboard.in/u:Vaguery/b:ad803daa9543/ 2024-10-30T12:44:28+00:00 https://arxiv.org/abs/2307.15092 Vaguery nonlinear-dynamics reservoir-computing neural-networks machine-learning biologically-inspired to-understand rather-interesting to-write-about review https://pinboard.in/ https://pinboard.in/u:Vaguery/b:f3ddd77750a4/ 2024-10-30T12:42:18+00:00 https://arxiv.org/abs/2401.09501 Vaguery reservoid-computing nonlinear-dynamics neural-networks rather-interesting to-write-about to-simulate machine-learning to-understand https://pinboard.in/ https://pinboard.in/u:Vaguery/b:c4b5225f808c/ 2024-10-30T12:39:59+00:00 https://arxiv.org/abs/2403.16933 Vaguery neural-networks backpropagation machine-learning yes-but-what-actually-happens rather-interesting nonlinear-dynamics systems-thinking locality biological-engineering to-write-about to-simulate https://pinboard.in/ https://pinboard.in/u:Vaguery/b:8f8d06d46c7d/ 2024-10-30T12:32:39+00:00 https://arxiv.org/abs/2404.05259 Vaguery neural-networks cellular-automata learning-by-watching recurrent-networks nonlinear-dynamics approximation machine-learning to-write-about to-simulate https://pinboard.in/ https://pinboard.in/u:Vaguery/b:39d241f4a9a0/ 2024-10-13T22:12:46+00:00 https://arxiv.org/abs/2205.08542 Vaguery cellular-automata nonlinear-dynamics stochastic-systems rather-interesting to-simulate to-write-about consider:processing consider:formalization https://pinboard.in/ https://pinboard.in/u:Vaguery/b:40808633124a/ 2024-09-09T15:34:11+00:00 https://en.wikipedia.org/wiki/FRACTRAN Vaguery number-theory esoteric-languages programming-language nonlinear-dynamics rather-interesting algorithms to-write-about to-simulate consider:looking-to-see consider:other-tasks https://pinboard.in/ https://pinboard.in/u:Vaguery/b:97cb676fb388/ 2024-09-04T22:48:29+00:00 https://arxiv.org/abs/2409.02086 Vaguery agent-based stochastic-systems nonlinear-dynamics simulation numerical-methods software-development-is-not-programming rather-interesting to-write-about to-pass-along reproducibility https://pinboard.in/ https://pinboard.in/u:Vaguery/b:d69b0e73e586/ 2024-08-17T21:57:35+00:00 https://arxiv.org/abs/2404.07150 Vaguery machine-learning recurrent-networks nonlinear-dynamics reservoir-computing to-understand neural-networks https://pinboard.in/ https://pinboard.in/u:Vaguery/b:0a416785cb98/ 2024-08-08T18:35:45+00:00 https://arxiv.org/abs/2204.13493 Vaguery unconventional-computing emergent-behavior nonlinear-dynamics thinking-with-stuff chemistry rather-interesting to-write-about to-simulate consider:ReQ cellular-automata https://pinboard.in/ https://pinboard.in/u:Vaguery/b:9b96ad64cbd3/ 2024-08-08T13:34:42+00:00 https://arxiv.org/abs/2110.01069 Vaguery tiling fractals rather-interesting mathematical-recreations algorithms symmetry to-simulate to-write-about consider:planning consider:classification rewriting-systems nonlinear-dynamics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:c4fb85354d7b/ 2024-08-06T12:52:23+00:00 https://arxiv.org/abs/2210.13971 Vaguery rather-interesting cellular-automata nonlinear-dynamics stochastic-systems to-write-about to-simulate benchmarking looking-to-see https://pinboard.in/ https://pinboard.in/u:Vaguery/b:fd26926e5ed8/ 2024-07-22T13:51:56+00:00 https://arxiv.org/abs/2211.13000 Vaguery network-theory cellular-automata measurement rather-interesting nonlinear-dynamics frequency-analysis feature-construction to-write-about consider:Boolean-networks https://pinboard.in/ https://pinboard.in/u:Vaguery/b:49aee90956e1/ 2024-07-07T19:21:00+00:00 https://arxiv.org/abs/2006.11634 Vaguery Collatz-conjecture nonlinear-dynamics rather-interesting open-questions time-series to-write-about to-simulate https://pinboard.in/ https://pinboard.in/u:Vaguery/b:fc60afcd47a7/ 2024-07-05T19:02:54+00:00 https://arxiv.org/abs/2301.01929 Vaguery nanotechnology DNA-computing indistinguishable-from-magic cellular-automata everything-looks-like-a-nail-made-of-DNA to-write-about nonlinear-dynamics structural-biology https://pinboard.in/ https://pinboard.in/u:Vaguery/b:48db3c7121ab/ 2024-04-12T22:21:10+00:00 https://arxiv.org/abs/1905.08729 Vaguery boolean-networks nonlinear-dynamics visualization to-read hey-I-know-this-person consider:reservoirs https://pinboard.in/ https://pinboard.in/u:Vaguery/b:67526dcf9d54/ 2024-03-31T00:38:40+00:00 https://arxiv.org/abs/2202.08708 Vaguery neural-networks transformers lattice-chemistry nonlinear-dynamics prediction o.O https://pinboard.in/ https://pinboard.in/u:Vaguery/b:32d24577b43d/ 2023-10-10T10:26:46+00:00 https://arxiv.org/abs/2210.12229 Vaguery boolean-networks dynamical-systems nonlinear-dynamics control-theory rather-interesting neural-networks all-the-things Kauffmania to-write-about to-visualize https://pinboard.in/ https://pinboard.in/u:Vaguery/b:0cb34f5bc93a/ 2023-10-10T10:08:10+00:00 https://arxiv.org/abs/2209.07505 Vaguery complexology Kauffmania boolean-networks nonlinear-dynamics automata to-write-about to-simulate define-your-terms https://pinboard.in/ https://pinboard.in/u:Vaguery/b:e4a365462d48/ 2023-09-30T12:42:22+00:00 https://arxiv.org/abs/2206.14942 Vaguery neural-networks neurology engineering-design rather-interesting biological-engineering nonlinear-dynamics to-write-about to-simulate consider:genetic-programming consider:tunability https://pinboard.in/ https://pinboard.in/u:Vaguery/b:c86be5f352ee/ 2023-09-09T13:17:58+00:00 https://arxiv.org/abs/2309.00100 Vaguery billiards nonlinear-dynamics enumeration rather-interesting purdy-pitchers https://pinboard.in/ https://pinboard.in/u:Vaguery/b:06afa65ce15c/ 2023-09-09T13:01:14+00:00 https://arxiv.org/abs/2308.04825 Vaguery low-discrepancy-sequence numerical-methods sampling algorithms horse-races rather-interesting approximation performance-measure nonlinear-dynamics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:1d714b506f44/ 2022-09-04T12:27:42+00:00 https://www.biorxiv.org/content/10.1101/395442v1?rss=1 Vaguery boolean-networks Kauffmania network-theory control-theory rather-interesting looking-to-see nonlinear-dynamics to-write-about to-simulate consider:effect-basins https://pinboard.in/ https://pinboard.in/u:Vaguery/b:04bbc9e66fcd/ 2022-07-16T20:57:09+00:00 https://arxiv.org/abs/2204.05198 Vaguery nonlinear-dynamics to-understand visualization ensembles https://pinboard.in/ https://pinboard.in/u:Vaguery/b:6d2c9b0fdbe5/ 2022-05-14T12:55:56+00:00 https://arxiv.org/abs/2008.06530 Vaguery reservoir-computing machine-learning nonlinear-dynamics to-understand metaheuristics no-really-I-don't-understand-it-either https://pinboard.in/ https://pinboard.in/u:Vaguery/b:a401326ff730/ 2022-05-14T11:28:46+00:00 https://arxiv.org/abs/2005.04144 Vaguery nonlinear-dynamics rather-interesting to-understand representation signal-processing to-write-about to-simulate consider:choice-of-bases https://pinboard.in/ https://pinboard.in/u:Vaguery/b:dd424bb260a4/ 2022-05-14T10:53:18+00:00 https://arxiv.org/abs/1801.07661 Vaguery analog-computing representation approximation to-understand proof nonlinear-dynamics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:8833ee7868c5/ 2022-05-14T10:50:13+00:00 https://arxiv.org/abs/1203.4667 Vaguery analog-computing representation simulation computational-complexity to-understand nonlinear-dynamics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:adde835968e4/ 2022-05-14T10:35:07+00:00 https://arxiv.org/abs/2005.01988 Vaguery analog-computing rather-interesting to-understand algorithms engineering-design hardware nonlinear-dynamics https://pinboard.in/ https://pinboard.in/u:Vaguery/b:21f1656dd658/