Perspectives on adaptive dynamical systems

Abstract

Adaptivity is a dynamical feature that is omnipresent in nature, socio-economics, and technology. For example, adaptive couplings appear in various real-world systems like the power grid, social, and neural networks, and they form the backbone of closed-loop control strategies and machine learning algorithms. In this article, we provide an interdisciplinary perspective on adaptive systems. We reflect on the notion and terminology of adaptivity in different disciplines and discuss which role adaptivity plays for various fields. We highlight common open challenges, and give perspectives on future research directions, looking to inspire interdisciplinary approaches.

arXiv comment46 pages, 9 figures

References in corpus (118)

• Catastrophic cascade of failures in interdependent networks
• Active Particles in Complex and Crowded Environments
• Collective motion
• The hydrodynamics of swimming microorganisms
• Machine learning and the physical sciences
• Machine learning phases of matter
• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• The Kuramoto model in complex networks
• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Effective containment explains sub-exponential growth in confirmed cases of recent COVID-19 outbreak in Mainland China
• Epidemic dynamics on an adaptive network
• Adaptive Coevolutionary Networks: A Review
• Intermittent search strategies
• Learning phase transitions by confusion
• Spontaneous synchrony in power-grid networks
• A Survey and Critique of Multiagent Deep Reinforcement Learning
• Nonequilibrium phase transition in the coevolution of networks and opinions
• Analysis of a power grid using the Kuramoto-like model
• Next Generation Reservoir Computing
• Dynamical synapses causing self-organized criticality in neural networks
• Microswimmers in Patterned Environments
• Long Time Evolution of Phase Oscillator Systems
• Antithetic Integral Feedback ensures robust perfect adaptation in noisy biomolecular networks
• Modeling echo chambers and polarization dynamics in social networks
• Explosive synchronization in adaptive and multilayer networks
• Topographical pathways guide chemical microswimmers
• On scientific understanding with artificial intelligence
• Macroscopic description for networks of spiking neurons
• Seasonal transmission potential and activity peaks of the new influenza A(H1N1): a Monte Carlo likelihood analysis based on human mobility
• Breaking the Curse of Dimensionality with Convex Neural Networks
• Dynamically induced cascading failures in power grids
• Short term fluctuations of wind and solar power systems
• Generic Absorbing Transition in Coevolution Dynamics
• Consensus formation on adaptive networks
• Fluctuating epidemics on adaptive networks
• Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
• Learning Thermodynamics with Boltzmann Machines
• A model for the emergence of cooperation, interdependence and structure in evolving networks
• Dynamic density shaping of light driven bacteria
• Analytical computation of the epidemic threshold on temporal networks
• Painting with bacteria: Smart templated self assembly using motile bacteria
• Hysteretic transitions in the Kuramoto model with inertia
• Coupled Replicator Equations for the Dynamics of Learning in Multiagent Systems
• Optimizing surveillance for livestock disease spreading through animal movements
• Irreversibility, heat and information flows induced by non-reciprocal interactions
• Classification and Geometry of General Perceptual Manifolds
• Active Particles Bound by Information Flows
• Solitary state at the edge of synchrony in ensembles with attractive and repulsive interaction
• Effective Distances for Epidemics Spreading on Complex Networks
• Modelling the influence of data structure on learning in neural networks: the hidden manifold model
• The topography of the environment alters the optimal search strategy for active particles
• Solitary states for coupled oscillators
• A Universal Route to Explosive Phenomena
• Controllability of multiplex, multi-timescale networks
• Desynchronization transitions in adaptive networks
• An adaptive voter model on simplicial complexes
• Emergence of polarized ideological opinions in multidimensional topic spaces
• Engineering sensorial delay to control phototaxis and emergent collective behaviors
• Multi-clusters in networks of adaptively coupled phase oscillators networks
• Enhancing power grid synchronization and stability through time delayed feedback control
• Long-range Order and Directional Defect Propagation in the Nonreciprocal XY Model with Vision Cone Interactions
• Birth and stabilization of phase clusters by multiplexing of adaptive networks
• Targeted free energy estimation via learned mappings
• Chimera states in coupled Kuramoto oscillators with inertia
• Delayed-feedback chimera states: Forced multiclusters and stochastic resonance
• Universal behavior in populations composed of excitable and self-oscillatory elements
• Analytical calculation of fragmentation transitions in adaptive networks
• Preferential sampling and small-scale clustering of gyrotactic microswimmers in turbulence
• Hierarchical frequency clusters in adaptive networks of phase oscillators
• What adaptive neuronal networks teach us about power grids
• Deterministic limit of temporal difference reinforcement learning for stochastic games
• Emergent explosive synchronization in adaptive complex networks
• Inverse square Lévy walks are not optimal search strategies for $d\ge 2$
• Non-universal results induced by diversity distribution in coupled excitable systems
• Early fragmentation in the adaptive voter model on directed networks
• Learning entropy production via neural networks
• Spontaneous synchronization of coupled oscillator systems with frequency adaptation
• Intrinsic noise in game dynamical learning
• Exact neural mass model for synaptic-based working memory
• Epidemic Processes over Adaptive State-Dependent Networks
• Solitary states in adaptive nonlocal oscillator networks
• Controlling cluster synchronization by adapting the topology
• Intrinsically motivated collective motion
• Disentangling feature and lazy training in deep neural networks
• Phototactic Robot Tunable by Sensorial Delays
• Bifurcations and singularities for coupled oscillators with inertia and frustration
• Multi-scale statistics of turbulence motorized by active matter
• Heterogeneous nucleation in finite size adaptive dynamical networks
• Coexistence of fast and slow gamma oscillations in one population of inhibitory spiking neurons
• Stability of Synchrony against Local Intermittent Fluctuations in Tree-like Power Grids
• The AI Economist: Improving Equality and Productivity with AI-Driven Tax Policies
• Hierarchical clusters in neuronal populations with plasticity
• Exact symmetries in the velocity fluctuations of a hot Brownian swimmer
• Complex macroscopic behavior in systems of phase oscillators with adaptive coupling
• Clique of functional hubs orchestrates population bursts in developmentally regulated neural networks
• Control of Synchronization in two-layer power grids
• Asymptotic learning curves of kernel methods: empirical data v.s. Teacher-Student paradigm
• The footprint of atmospheric turbulence in power grid frequency measurements
• Stability and control of power grids with diluted network topology
• Contact-based model for epidemic spreading on temporal networks
• Cross frequency coupling in next generation inhibitory neural mass models
• Positive Feedback and Synchronized Bursts in Neuronal Cultures
• Dynamics of a stochastic excitable system with slowly adapting feedback
• Effect of disorder and noise in shaping the dynamics of power grids
• Population spiking and bursting in next generation neural masses with spike-frequency adaptation
• Opinion diversity and community formation in adaptive networks
• Metabolite transport through glial networks stabilizes the dynamics of learning
• Intrinsic fluctuations of reinforcement learning promote cooperation
• Deep reinforcement learning in World-Earth system models to discover sustainable management strategies
• Two Scenarios for the Onset and Suppression of Collective Oscillations in Heterogeneous Populations of Active Rotators
• Network topology near criticality in adaptive epidemics
• Two paradigmatic scenarios for inverse stochastic resonance
• Modeling the effects of environmental and perceptual uncertainty using deterministic reinforcement learning dynamics with partial observability
• Exotic states induced by co-evolving connection weights and phases in complex networks
• Stability analysis of multiplayer games on adaptive simplicial complexes
• Synchronization of Coupled Kuramoto Oscillators under Resource Constraints
• Computational models of long term plasticity and memory
• Sequential decision problems, dependent types and generic solutions

Cited by in corpus (7)

• Alignment-Induced Self-Organization of Autonomously Steering Microswimmers: Turbulence, Vortices, and Jets
• Recurrent chaotic clustering and slow chaos in adaptive networks
• Control of seizure-like dynamics in neuronal populations with excitability adaptation related to ketogenic diet
• Complex Couplings -- A universal, adaptive and bilinear formulation of power grid dynamics
• Synchronization transitions in adaptive simplicial complexes with cooperative and competitive dynamics
• Emergent synchrony in oscillator networks with adaptive arbitrary-order interactions
• Meta-plasticity and memory in multi-level recurrent feed-forward networks