RESILIENCE

The most important stability criteria of complex Systems

These listed criteria apply for a multitude of complex systems from various different fields of reality, including organic and inorganic, technical and socio-economical, psychological and ecological, practical as well as very abstract and formal areas. In the particular case all components, each in specific expression, are present. Even though this is a list of necessary characteristics it does not claim sufficient comprehensiveness and might be extended on demand.

The following explanations serve as a closer characterisation as well as a more accurate classification of the listed criteria.

Connectivity (R01) 
The connectivity of a system refers to which extent the integrated elements and components are connected with each other. Within resilient systems the grade of connectivity should optimally be within the interval 26% and 36%. 

Dynamics (R02) 
Dynamics describes the ability to rapidly switch between acceleration and deceleration of processes ("throttle and break").

Ability to react/response (R03) 
To react or respond is the ability of recursive actions into/within the system ("inside") and onto the systems environment (to the "outside"). (see also Ability to memorise (R06), Dissipation (R08) and Confidence (R12))

Tolerance (R04) 
The attribute of tolerance refers to the robustness of the system towards breaks of the requirements of operation and concept. A limited insensitivity to exceeded limits of capacity comes with it as well.

Modularity (R05) 
Modularity is realised by the integration of subsystems, which may function relatively independent of the global system.

Ability to memorise (R06) 
The ability to memorise is the ability to record, read and edit protocols of action. At higher frequency it works as well to realise a monitoring process.

Redundancy (R07) 
Redundancy is realised by functional and physical multiplication of system elements and subsystems. The integration of multi-functional elements and the avai-lability of “holographic” structures generate conditions of redundancy as well.

Dissipation (R08) 
Dissipation is the ability to antagonise the overall systems cumulative increasing disorder and ambiguity, in other words its entropy, with impulses set by the systems inherent power and initiative. (see as well Chaotic Behaviour (R10))

Balance (R09) 
Balance refers to the ability to create a dynamic equilibrium upon weak as well as vehement actions and reactions. (see as well Dynamics (R02))

Chaotic Behaviour (R10) 
The characteristics of self-similarity and fractal dimensionality result in the systems chaotic ability. This meets the condition to not necessarily cover all possible areas of state and action. Whereas self-similarity refers to the structural accordance of parts of the system and its reaction patterns as attributes of chaotic behaviour. (see as well Modularity (R05) and Redundancy (R7))

"Meaning"(R11) 
The function of sense and meaning within the system consists of its ability to map and correlate received and emitted pulses and information. This enables the assembly and multiplexing of concepts and structures of hypotheses and ideas. 

Confidence (R12) 
The function of confidence emerges from the "positive" willingness to take risks with respect to its own actions and the affiliation and assumption of, as well positive, causes accounting for the "experienced" effects. This realises the ability to provide a risky leap of faith.

see also Systems stability

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