A law earns its place by clarifying how a pattern is produced, not only by naming it.
DOMAIN 0313 PUBLISHED GUIDES
Systems & Complexity
Principles for understanding failure, feedback, networks, emergence, resilience, and interacting parts.
CENTRAL QUESTION
What changes when many parts begin interacting?
- Working scale
- Components to ecosystems
- Primary lens
- Models + failure analysis
13Published
04Defined subfields
FULLSource standard
ENEditorial language
SUBCATEGORY MAP
The field at a glance.
Each subfield has a distinct object of study. Published areas are active now; planned areas show how the collection will grow.
01
Risk & Failure
PublishedHow faults combine, propagate, and become consequential.
02
Feedback Loops
PublishedCircular causation that stabilizes or amplifies change.
03
Networks
PublishedStructure, connectivity, diffusion, and cascading effects.
04
Emergence
PublishedLarge-scale order produced without a central controller.
PUBLISHED GUIDES
In Systems & Complexity
Every guide includes meaning, mechanism, applications, limitations, related concepts, and traceable references.
Risk & Failure001
Engineering aphorism
Murphy's Law
Failure paths, reliability, and defensive design in complex systems.
Emergence033
Agent-based model of emergent spatial sorting
Schelling Segregation Model
Even mild local preferences about neighbors can generate strong population-level segregation without any agent seeking the final pattern. It is a mechanism demonstration, not a complete theory of real segregation.
Emergence040
Heavy-tail survival heuristic
Lindy Effect
For some non-perishable phenomena with heavy-tailed lifetimes, surviving longer can imply a longer expected remaining lifetime rather than approaching a fixed expiration date.
Feedback Loops044
Queueing-system conservation identity
Little's Law
In a stable system over a consistent boundary and time horizon, average work in process equals average throughput multiplied by average flow time.
Networks048
Selfish-routing network paradox
Braess's Paradox
Adding a low-cost link to a congested network can worsen equilibrium travel time when individually rational route choices impose congestion on one another.
Feedback Loops059
Cybernetic regulation principle
Ashby's Law of Requisite Variety
A regulator can reliably constrain a system only if its effective response variety is sufficient to counter the variety of disturbances that matter at the controlled outcome.
Feedback Loops069
Cybernetic modeling theorem
Good Regulator Theorem
Every effective and sufficiently simple regulator of a system must embody a model of that system in the sense required to produce successful regulation.
Risk & Failure070
Sociotechnical accident theory
Normal Accident Theory
In systems that combine complex interactions with tight coupling, some accidents become difficult to foresee and difficult to stop because unexpected failures propagate faster than operators can understand or isolate them.
Emergence078
Sensitive dependence in nonlinear dynamics
Butterfly Effect
In some nonlinear systems, arbitrarily close initial states can evolve into macroscopically different trajectories, limiting long-range prediction.
Emergence079
Collective-action dilemma
Tragedy of the Commons
When users receive concentrated benefits from extraction while sharing depletion costs, individually reasonable choices can degrade a common resource.
Risk & Failure080
Layered-defense accident model
Swiss Cheese Model
Accidents can pass through multiple defensive layers when their active failures and latent weaknesses align.
Feedback Loops081
Flow-system constraint principle
Bottleneck Principle
The sustainable throughput of a serial flow system cannot exceed the capacity of its active constraint.
Networks082
Complex-system design pattern
Robust-Yet-Fragile Principle
Systems optimized to tolerate a known range of frequent disturbances can become unusually vulnerable to rare, unmodeled, or targeted disruptions.
CROSS-DOMAIN LINKS
No field stands alone.
These connections show where the domain borrows methods, mechanisms, or evidence from the rest of the library.
Scientific status, operating range, evidence quality, and common misuse stay visible.
Original publications, official records, and serious scholarship take priority.