Tootfinder

And just to be 100% clear, #LosAngeles is nailing it. Massive peaceful protests are great. That's absolutely unequivocally a good thing. So are burning cop cars. Diversity of tactics is critical.
Escalating radically at a protest with kids and grandmas is a shit thing to do. Don't do that unless it's absolutely necessary. Having kids and grandmas out protesting is important. Having them peacefully block vehicles with their bodies or occupy ICE facilitates *is* a strong thing. That is real. That's not virtue signaling, it does something... And sometimes that isn't enough. Sometimes things *need* to escalate to save people.
Diversity is good. Don't break the diversity of tactics *either way*. #LA seems to be doing a pretty good job right now or holding that balance. I hope to see more of that in every city.

Last week, we continued our #ISE2025 lecture on distributional semantics with the introduction of neural language models (NLMs) and compared them to traditional statistical n-gram models.
Benefits of NLMs:
- Capturing Long-Range Dependencies
- Computational and Statistical Tractability
- Improved Generalisation
- Higher Accuracy
@…

This https://arxiv.org/abs/2505.09487 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

The N-species integrable Volterra system as a maximally superintegrable Hamiltonian system
The results presented in this paper are a natural development of those described in the paper {\it The Volterra Integrable case. Novel analytical and numerical results} (OCNMP Vol.4 (2024) pp 188-211), where the authors reconsidered the integrable case of the Hamiltonian $N$-species Lotka-Volterra system, introduced by Vito Volterra in 1937. There, an alternative approach for constructing the integrals of motion has been proposed, and compared with the old Volterra approach. Here we go beyond, …

Synchronous Propagation of Periodic Signals in Feedforward Networks of Standard Model Neurons
Ian Stewart, David Wood
https://arxiv.org/abs/2506.11776 http…

Synchronous Propagation of Periodic Signals in Feedforward Networks of Standard Model Neurons
Periodic signals propagating along chains are common in biology, for example in locomotion and peristalsis, and are also of interest for continuum robots. In previous work we constructed such networks as 'feedforward lifts' of a central pattern generator (CPG). When the CPG undergoes periodic oscillations, created by Hopf bifurcation or other mechanisms, it can then transmit periodic signals along one or more feedforward chains in a synchronous or phase-synchronous manner. We proved necessary a…

This https://arxiv.org/abs/2412.20122 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Multi-component Toda lattice hierarchy
We give a detailed account of the N -component Toda lattice hierarchy. This hierarchy is an extended version of the one introduced by Ueno and Takasaki. Our version contains N discrete variables rather than one. We start from the Lax formalism, deduce the bilinear relation for the wave functions from it and then, based on the latter, prove existence of the tau-function. We also show how the multi-component Toda lattice hierarchy is embedded into the universal hierarchy which is basically the mu…

Hybrid chaos synchronization between a ring and line topologies
Elman Shahverdiev
https://arxiv.org/abs/2506.05562 https://arxiv.org/…

Hybrid chaos synchronization between a ring and line topologies
Hybrid chaos synchronization between ring-line networks topologies is explored on the example of Ikeda modeling, famous multidisciplinary system. It is established that high quality complete synchronization between constituent lasers is a possibility. Some security implications for the computer network hybrid topology are underlined.

Early warning skill, extrapolation and tipping for accelerating cascades
Peter Ashwin, Robbin Bastiaansen, Anna S. von der Heydt, Paul Ritchie
https://arxiv.org/abs/2506.01981

Early warning skill, extrapolation and tipping for accelerating cascades
We investigate how nonlinear behaviour (both of forcing in time and of the system itself) can affect the skill of early warning signals to predict tipping in (directionally) coupled bistable systems when using measures based on critical slowing down due to the breakdown of extrapolation. We quantify the skill of early warnings with a time horizon using a receiver-operator methodology for ensembles where noise realisations and parameters are varied to explore the role of extrapolation and how it…

Experimental realization of all logic elements and memory latch in SC-CNN Chua's circuit
Ashokkumar P, Sathish Aravindh M, Venkatesan A, Lakshmanan M
https://arxiv.org/abs/2505.23303

Experimental realization of all logic elements and memory latch in SC-CNN Chua's circuit
The Chua's circuit is examined using a State Controlled-Cellular Neural Network (SC-CNN) framework with two logical square wave input signals. We illustrate, in particular, that this nonlinear circuit can generate all the basic logic operations, including OR/NOR, AND/NAND, and XOR/XNOR gates, by making use of the hopping of attractors which this circuit produces in different phase space regimes. Further, it is shown that besides two-inputs, the circuit emulates multi-input logic elements. Moreo…

Chaotic Kramers' Law: Hasselmann's Program and AMOC Tipping
Jakob Deser, Raphael R\"omer, Niklas Boers, Christian Kuehn
https://arxiv.org/abs/2505.18904

Chaotic Kramers' Law: Hasselmann's Program and AMOC Tipping
In bistable dynamical systems driven by Wiener processes, the widely used Kramers' law relates the strength of the noise forcing to the average time it takes to see a noise-induced transition from one attractor to the other. We extend this law to bistable systems forced with fast chaotic dynamics, which we argue to be a more realistic modeling approach than unbounded noise forcing in some cases. We test our results numerically in a reduced-order model of the Atlantic Meridional Overturning Circ…