Complexity Theory

Wolfram

Complex Systems

Why complexity is different        

Quantifying complexity theory

 Bubble experiment finds universal laws

Chaos reigns even in simple electronics

Aspects of complexity in life and science

Simple models of complex chaotic systems

Coexistence and chaos in complex ecologies

This equation will change how you see the world

Universal pattern explains why materials conduct

The complexity, simplicity and unity of life - from cells to cities

An introduction to complex systems science and its applications

Complexity and determining dangerous levels of climate impacts

How cybernetics connects computing, counterculture and design

Entropy-based generating Markov partitions for complex systems

The Universe's ultimate complexity revealed by simple quantum games

New approaches to promoting flexible and forward-looking decision making

Systemic risks: a homomorphic approach on the basis of complexity science  

Identifying causal gateways and mediators in complex spatio-temporal systems

Collapse in a complex world of interconnected ecosystems overlaid with biodiversity 

Asynchronous exposure to global warming: freshwater resources and terrestrial ecosystems

A new method for studying the vulnerability of civial aviation netwok systems to spatially localized hazards

A model for the interoperability of multiple emergency response agencies in large-scale disasters:Persian Gulf

Stabiliy, equilibrium & resilience:    

Quantifying stability

Want to  build resilience? Kill the complexity

Spontaneous system follows rules of equilibrium

Taming chaos: calculating probability in complex systems

Humans control complex objects by exploiting their stability

On the resilience and stability of banks and systems of banks

From the Amazon rain forest to human body cells: quantifying stability

The emergence of environmental homeostasis in complex ecosystems

Researchers find the tipping point between resilience and collapse in complex systems

Coupled catastrophes: sudden shifts cascade and hop among interdependent systems

Pattern formation in complexity:

Pattern formation in multiplex networks

Finding the simple patterns in a complex world

In mysterious pattern, math and Nature converge

Mathematics of complexity:

Statistical theory of adaptation   

Researcher devises method to untangle, analyze 'controlled chaos'

From power grids to heartbeat: using mathematics to restore rhythm

A tale of two cultures: phase transitions in physics and computer science

Phase transitions in NP-Complete problems: a challenge for probability, combinatorics, and computer science