Tootfinder

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…

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
@…

Interpretable Neural Network Quantum States for Solving the Steady States of the Nonlinear Schr\"odinger Equation
Mingshu Zhao, Zhanyuan Yan
https://arxiv.org/abs/2506.10219 …

Interpretable Neural Network Quantum States for Solving the Steady States of the Nonlinear Schrödinger Equation
The nonlinear Schrödinger equation (NLSE) underpins nonlinear wave phenomena in optics, Bose-Einstein condensates, and plasma physics, but computing its excited states remains challenging due to nonlinearity-induced non-orthonormality. Traditional methods like imaginary time evolution work for ground states but fail for excited states. We propose a neural network quantum state (NNQS) approach, parameterizing wavefunctions with neural networks to directly minimize the energy functional, enablin…

Replaced article(s) found for nlin.CD. https://arxiv.org/list/nlin.CD/new/
[1/1]:
Network Dynamics-Based Framework for Understanding Deep Neural Networks

Coherence and Transients in Nonlocally Coupled Dissipative Kicked Rotors
Jin Yan
https://arxiv.org/abs/2506.10828 https://arxiv.org/p…

Coherence and Transients in Nonlocally Coupled Dissipative Kicked Rotors
The dynamics of nonlocally coupled dissipative kicked rotors is rich and complex. In this study, we consider a network of rotors where each interacts equally with a certain range of its neighbors. We focus on the influence of the coupling strength and the coupling range, and show both analytically and numerically the critical transitions in the phase diagram, which include bifurcations of simple spatiotemporal patterns and changes in basin sizes of coherent states with different wavenumbers. We…

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.

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…