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.

46 pages, 9 figures

References in corpus (36)

• The hydrodynamics of swimming microorganisms
• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Adaptive Coevolutionary Networks: A Review
• Learning phase transitions by confusion
• 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
• Explosive synchronization in adaptive and multilayer networks
• 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
• Generic Absorbing Transition in Coevolution Dynamics
• Consensus formation on adaptive networks
• Fluctuating epidemics on adaptive networks
• Analytical computation of the epidemic threshold on temporal networks
• Hysteretic transitions in the Kuramoto model with inertia
• Optimizing surveillance for livestock disease spreading through animal movements
• Effective Distances for Epidemics Spreading on Complex Networks
• Controllability of multiplex, multi-timescale networks
• Desynchronization transitions in adaptive networks
• 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
• Inverse square Lévy walks are not optimal search strategies for $d\ge 2$
• Exact neural mass model for synaptic-based working memory
• Intrinsically motivated collective motion
• Multi-scale statistics of turbulence motorized by active matter
• Heterogeneous nucleation in finite size adaptive dynamical networks
• The AI Economist: Improving Equality and Productivity with AI-Driven Tax Policies
• Clique of functional hubs orchestrates population bursts in developmentally regulated neural networks
• Population spiking and bursting in next generation neural masses with spike-frequency adaptation
• Intrinsic fluctuations of reinforcement learning promote cooperation
• 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
• Computational models of long term plasticity and memory

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