Wolfram
Complex Systems
Why complexity is different
Quantifying complexity theory
Bubble experiment finds universal laws
Chaos reigns even in simple electronics
Simple models of complex chaotic systems
A scale-dependent measure of system dimensionality
An introduction to complex systems science and its applications
How cybernetics connects computing, counterculture and design
The Universe's ultimate complexity revealed by simple quantum games
New approaches to promoting flexible and forward-looking decision making
Identifying causal gateways and mediators in complex spatio-temporal systems
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
Coupled catastrophes: sudden shifts cascade and hop among interdependent systems
Researchers find the tipping point between resilience and collapse in complex 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
Universal pattern explains why materials conduct
Mathematics of complexity:
Statistical theory of adaptation
This equation will change how you see the world
Surprising limits discovered in quest for optimal solutions
Entropy-based generating Markov partitions for complex systems
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
Systemic risk and the butterfly effect in the real world:
Scalar nests and butterfly effects
Aspects of complexity in life and science
Coexistence and chaos in complex ecologies
The complexity, simplicity and unity of life - from cells to cities
Complexity and determining dangerous levels of climate impacts
From the Amazon rain forest to human body cells: quantifying stability
The emergence of environmental homeostasis in complex ecosystems
Systemic risks: a homomorphic approach on the basis of complexity science
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