Drive-specific adaptation in disordered mechanical networks of bistable springs
arXiv:1908.09332 · doi:10.1063/5.0171993
Abstract
Systems with many stable configurations abound in nature, both in living and inanimate matter. Their inherent nonlinearity and sensitivity to small perturbations make them challenging to study, particularly in the presence of external driving, which can alter the relative stability of different attractors. Under such circumstances, one may ask whether any clear relationship holds between the specific pattern of external driving and the particular attractor states selected by a driven multistable system. To gain insight into this question, we numerically study driven disordered mechanical networks of bistable springs which possess a vast number of stable configurations arising from the two stable rest lengths of each spring, thereby capturing the essential physical properties of a broad class of multistable systems. We find that the attractor states of driven disordered multistable mechanical networks are fine-tuned with respect to the pattern of external forcing to have low work absorption from it. Furthermore, we find that these drive-specific attractor states are even more stable than expected for a given level of work absorption. Our results suggest that the driven exploration of the vast configuration space of these systems is biased towards states with exceptional relationship to the driving environment, and could therefore be used to `discover' states with desired response properties in systems with a vast landscape of diverse configurations.
15 pages, 12 figures
References in corpus (19)
- Memory formation in matter
- Multiple transient memories in experiments on sheared non-Brownian suspensions
- Dynamics of Random Neural Networks with Bistable Units
- Sharpness-Aware Minimization for Efficiently Improving Generalization
- Optimizing active work: Dynamical phase transitions, collective motion, and jamming
- Programming nonreciprocity and reversibility in multistable mechanical metamaterials
- Directed aging, memory and Nature's greed
- The Anisotropic Noise in Stochastic Gradient Descent: Its Behavior of Escaping from Sharp Minima and Regularization Effects
- Low rattling: A predictive principle for self-organization in active collectives
- Memory from coupled instabilities in unfolded crumpled sheets
- How dissipation constrains fluctuations in nonequilibrium liquids: Diffusion, structure and biased interactions
- Dissipation controls transport and phase transitions in active fluids: Mobility, diffusion and biased ensembles
- Periodic training of creeping solids
- Multi-stable free states of an active particle from a coherent memory dynamics
- Effect of aging on the non-linear elasticity and memory formation in materials
- Design of pseudo-mechanisms and multistable units for mechanical metamaterials
- Vibrational density of states and specific heat in glasses from random matrix theory
- Learned multi-stability in mechanical networks
- Least Rattling Feedback from Strong Time-scale Separation