In the complex system approach to peace and armed conflict, the social systems of armed conflict are viewed as complex [1] dynamical systems. [2] The study of positive and negative feedback processes, attractors and system dimensionality, phase transitions and emergence is seen as providing improved understanding of the conflicts and of the effectiveness or ineffectiveness of interventions aiming to resolve the conflicts. [1] [2]
Arguments for modelling the social systems in which peace and armed conflict take places as complex dynamical systems are that they contain many interacting agents whose causal chains of effects within a wider social ecosystem may lead to surprising large-scale changes, [1] : 5 but can also show long-term stability despite many small-scale changes. [1] : 22 Intractable long-term conflict is seen as a clear example of the relevance of the complex systems model. The Israeli–Palestinian conflict and peace process are seen by Peter T. Coleman as illustrating "a basic paradox of intractable conflicts: they are essentially stable despite tremendous volatility and change." [1] : 22 Coleman and colleagues argue that the complex system model of armed conflict may explain the paradoxical effect that armed conflict can lead to results in terms of resources, security and well-being that oppose the interests of all sides in the conflict. They characterise an intractable conflict as being "entrenched in a wide variety of cognitive, affective and social-structural mechanisms [that] effectively [decouple it]" from the original motivations that started the conflict. [2]
In complex systems models of peace and conflict, the adjectives "positive" and "negative" are used in two different senses. They are used in the sense of positive (amplifying) and negative (damping) feedback loops in the system. [1] : 27 They are also used in the sense where "positive" refers to attractors or positive-feedback loops tending to stabilise or reduce conflict to attain the socially desirable ("benign") goal of peace; and "negative" refers to ("malignant") attractors or positive-feedback loops tending to stabilise or amplify conflict. [2] : 42
Negative (damping) and positive (amplifying) feedback processes as complex systems features play roles in both stability and rapid change. Negative feedbacks that promote stability in a peace and conflict context can include legal and moral "lines [not to be] crossed" and social sanctions. Positive feedbacks that can lead to "catastrophic change" can include acts of violence or other "morally reprehensible acts". Positive feedbacks that can snowball towards peace can include actions such as unilateral disarmament or the 1977 visit by Anwar Sadat to Israel. [1] : 27
Armed conflict involves multiple levels ranging from intra-personal to inter-group interactions. Change that promotes a positive feedback loop towards peace within a single psychological or sociological level may be compensated by a negative interlevel feedback loop, restoring the state of conflict. [1] : 27
Joseph Ruane and Jennifer Todd argue that the social and psychological negative feedback processes for intra-community solidarity and ethnic identity and inter-community conflict tend to maintain conflict situations despite a changing environment such as socio-economic development. They recommend "look[ing] for critical phenomena, points of control" in which key negative feedback processes can be modified for finding ways to solve ethnic conflicts. [1] : 33–35
Jason Healey and Robert Jervis argue that during the Cold War, building more weapons could in some cases constitute negative feedback, leading the other side to build fewer weapons, with the effect of maintaining a stable state, while in other cases could constitute positive feedback, contributing to the Cold War arms race. The lack of sufficient data led to academic debate about which sign of feedback was correct. [3]
Coleman argues that there exist attractor states in conflict systems in which the thoughts, feelings and actions of each party tend to evolve towards an attractor, while continuing to change. He argues that conflict attractors are more likely to exist when the number of significant parameters in the system is reduced, such as with stereotypes of the opposing social group versus rich, nuanced views of one's own social group. [1] : 27 An example of dimensional reduction is that after Mozambique became independent from Portugal in 1975, the party gaining power, FRELIMO, discouraged "anti-revolutionary" and "anti-patriotic" opinion, leading to political polarization along a single dimension of supporting or opposing FRELIMO. [2] : 47–48
Latent attractors are attractors in a dynamical system that do not show obvious signs of conflict. Latent attractors promoting conflict include dehumanization and stereotyping. Conflict resolution processes that show no obvious signs of effectiveness may be latent attractors that modify the system's properties and later lead to rapid de-escalation of the conflict. [2] : 44
An example of a phase transition in peace and armed conflict, when the system is viewed as a dynamical system, is the shift from a latent phase of conflict, in which the conflict is not violent, to one that becomes violent. [1] : 49
The complex systems approach to peace and armed conflict includes the existence of emergence and self-organization, as well as downward causation in which the small-scale, apparently unconstrained processes are together constrained by the large-scale behaviour of the system. [1] : 50
Within the attractor model, a solution to a conflict requires either "disassembling the malignant attractor or moving the system into the basin [of attraction] of a different, more benign attractor". [1] : 27 When interventions aimed to promote peace are not based on accurate dynamical models of the sustainable states, the interventions are unlikely to move the system towards long-term peace. [2]
Coleman and colleagues recommend studying the positive and negative feedback loops in an armed conflict situation, and studying the connectivity of the system as a network. They suggest that appropriately adding more links in the network can constitute a change in the dynamical properties of the system. [2] : 47–50
The time scales for latent attractors to evolve into visible attractors can be long, with the period from first contact to peace accords in the Mozambique case being 15 years. Interventions that may change the system's state include latent attractors; weak power (mediators with no power); negotiation chains; interventions that "carefully" increase the dimensionality of the system; strengthen peace attractors in parts of the dynamical space that are isolated from the core strong conflict attractor, such as using confidence-building measures that create basins of attraction despite appearing to have little effect on the conflict. [2] : 47–52
The complex systems view on peace processes implies that even if a conflict appears to be de-escalating, the attractors for conflict may remain in place. Several interventions may make the de-escalation more likely to continue in the long-term. Decoupling pro-conflict positive feedback loops, such as "showing positive examples of specific out-group members" or giving attention to "important (e.g. high status, charismatic) in-group member[s]" who disagree with the in-group's view of the conflict, thus increasing the dimensionality of the dynamical system. Negative feedback loops can be introduce, for example to keep military activities stable by creating military monitoring institutions. The institutionalisation of "nuanced, alternative conflict narratives" in the media, the education system and official statements may reduce the chance of returning to a low-dimensional system. [2] : 53
The complex systems approach to modelling peace and conflict involves studying interactions and processes, rather than just components and agents. [1] : 37
The complex systems approach also requires interventions in a conflict being themselves viewed as processes that perturb the complex system, with the possibility of unexpected consequences. [1] : 38
Agent-based social simulations to model armed conflict intractability and the possibilities of solving the conflicts were developed in the 2000s. Their scientific validity was contested by James N. Rosenau. [1] : 41–45
Healey and Jervis argued in 2020 that cyberwarfare during peacetime mostly acted as a negative feedback in relation to armed conflict, but could become a positive feedback in later conflicts. In the 2010s, cyberattacks including the Stuxnet attacks on Iranian nuclear facilities and the 2014 Sony Pictures hack took place and several states created cybercommands such as the United States Cyber Command with 6200 employees in 2018. Healey and Jarvis argue that acute geopolitical crises risk cyberconflict acting as a positive feedback on armed conflict. They suggest that as of 2018 [update] , cyberconflict had not reached a tipping point, but could do so later. [3]
Healey and Jervis recommend implementing negative feedbacks to increase stability such as extended equivalents of the Moscow–Washington hotline to encourage communication, stating that the hotlines should "be lavishly funded ... as a powerful negative feedback hedge to a more aggressive persistent engagement". [3]
The Mozambican Civil War was used by Coleman and colleagues as an example illustrating the relevance of the complex systems model. They argue that "power structures, meaning systems and relational dynamics" constituted a low-dimensional dynamical system with a strong attractor state of intractable conflict. In their view, the intervention of the Community of Sant'Egidio in negotiating direct talks modified the system's properties, leading to the Rome General Peace Accords. The complex system model explains why Sant'Egidio played a crucial role despite having no military, legal or political power. [2] : 48–54
Adam Day argues that attempted state-building in South Sudan by the United Nations Mission in South Sudan (UNMISS) following independence in 2011 was ineffective due to a positive feedback loop in which United Nations budgetary support for formal administrative structures was diverted into reinforcing Sudan People's Liberation Army (SPLA) control of ethno-military networks of unofficial governance. Prior to independence, positive feedback loops of SPLA administration of land, cattle markets and oil revenue supporting their own ethnic group led to local government being "an empty shell". UNMISS and other international funding starting in 2011 was managed by the South Sudanese government making statements and "tick[ing] the boxes" to satisfy the donors, while the money itself reinforced the pre-existing dynamical system without modifying it. Day argues that describing this as corruption is correct but fails to explain the funds' role in the dynamical system, which evolved "to new inputs". Administrative actions aimed at decentralisation of resources outside of major urban areas effectively contributed to raising SPLA commanders' salaries. The aim of shifting security resources from the SPLA to civilian police had the result of growing the size of the SPLA. [4] : 12–13
Control theory is a field of control engineering and applied mathematics that deals with the control of dynamical systems in engineered processes and machines. The objective is to develop a model or algorithm governing the application of system inputs to drive the system to a desired state, while minimizing any delay, overshoot, or steady-state error and ensuring a level of control stability; often with the aim to achieve a degree of optimality.
Feedback occurs when outputs of a system are routed back as inputs as part of a chain of cause-and-effect that forms a circuit or loop. The system can then be said to feed back into itself. The notion of cause-and-effect has to be handled carefully when applied to feedback systems:
Simple causal reasoning about a feedback system is difficult because the first system influences the second and second system influences the first, leading to a circular argument. This makes reasoning based upon cause and effect tricky, and it is necessary to analyze the system as a whole. As provided by Webster, feedback in business is the transmission of evaluative or corrective information about an action, event, or process to the original or controlling source.
System dynamics (SD) is an approach to understanding the nonlinear behaviour of complex systems over time using stocks, flows, internal feedback loops, table functions and time delays.
The twelve leverage points to intervene in a system were proposed by Donella Meadows, a scientist and system analyst who studied environmental limits to economic growth.
Negative feedback occurs when some function of the output of a system, process, or mechanism is fed back in a manner that tends to reduce the fluctuations in the output, whether caused by changes in the input or by other disturbances. A classic example of negative feedback is a heating system thermostat — when the temperature gets high enough, the heater is turned OFF. When the temperature gets too cold, the heat is turned back ON. In each case the "feedback" generated by the thermostat "negates" the trend.
Positive feedback is a process that occurs in a feedback loop which exacerbates the effects of a small disturbance. That is, the effects of a perturbation on a system include an increase in the magnitude of the perturbation. That is, A produces more of B which in turn produces more of A. In contrast, a system in which the results of a change act to reduce or counteract it has negative feedback. Both concepts play an important role in science and engineering, including biology, chemistry, and cybernetics.
A vicious circle is a complex chain of events that reinforces itself through a feedback loop, with detrimental results. It is a system with no tendency toward equilibrium, at least in the short run. Each iteration of the cycle reinforces the previous one, in an example of positive feedback. A vicious circle will continue in the direction of its momentum until an external factor intervenes to break the cycle. A well-known example of a vicious circle in economics is hyperinflation.
Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations or difference equations. When differential equations are employed, the theory is called continuous dynamical systems. From a physical point of view, continuous dynamical systems is a generalization of classical mechanics, a generalization where the equations of motion are postulated directly and are not constrained to be Euler–Lagrange equations of a least action principle. When difference equations are employed, the theory is called discrete dynamical systems. When the time variable runs over a set that is discrete over some intervals and continuous over other intervals or is any arbitrary time-set such as a Cantor set, one gets dynamic equations on time scales. Some situations may also be modeled by mixed operators, such as differential-difference equations.
Peace and conflict studies is a social science field that identifies and analyzes violent and nonviolent behaviors as well as the structural mechanisms attending conflicts, to understand those processes which lead to a more desirable human condition. A variation on this, peace studies, is an interdisciplinary effort aiming at the prevention, de-escalation, and solution of conflicts by peaceful means, based on achieving conflict resolution and dispute resolution at the international and domestic levels based on positive sum, rather than negative sum, solutions.
In control theory and stability theory, the Nyquist stability criterion or Strecker–Nyquist stability criterion, independently discovered by the German electrical engineer Felix Strecker at Siemens in 1930 and the Swedish-American electrical engineer Harry Nyquist at Bell Telephone Laboratories in 1932, is a graphical technique for determining the stability of a dynamical system.
A causal loop diagram (CLD) is a causal diagram that visualizes how different variables in a system are causally interrelated. The diagram consists of a set of words and arrows. Causal loop diagrams are accompanied by a narrative which describes the causally closed situation the CLD describes. Closed loops, or causal feedback loops, in the diagram are very important features of CLDs because they may help identify non-obvious vicious circles and virtuous circles.
Confidence-building measures (CBMs) or confidence- and security-building measures (CSBMs) are actions taken to reduce fear of attack by both parties in a situation of conflict. The term is most often used in the context of armed conflict, but is similar in logic to that of trust and interpersonal communication used to reduce conflictual situations among human individuals.
Dynamic network analysis (DNA) is an emergent scientific field that brings together traditional social network analysis (SNA), link analysis (LA), social simulation and multi-agent systems (MAS) within network science and network theory. Dynamic networks are a function of time to a set of graphs; for each time point there is a graph. This is akin to the definition of dynamical systems, in which the function is from time to an ambient space, where instead of ambient space time is translated to relationships between pairs of vertices.
Peacebuilding is an activity that aims to resolve injustice in nonviolent ways and to transform the cultural and structural conditions that generate deadly or destructive conflict. It revolves around developing constructive personal, group, and political relationships across ethnic, religious, class, national, and racial boundaries. The process includes violence prevention; conflict management, resolution, or transformation; and post-conflict reconciliation or trauma healing before, during, and after any given case of violence.
René Thomas (14 May 1928 - 9 January 2017 was a Belgian scientist. His research included DNA biochemistry and biophysics, genetics, mathematical biology, and finally dynamical systems. He devoted his life to the deciphering of key logical principles at the basis of the behaviour of biological systems, and more generally to the generation of complex dynamical behaviour. He was professor and laboratory head at the Université Libre de Bruxelles, and taught and inspired several generations of researchers.
In the bifurcation theory, a bounded oscillation that is born without loss of stability of stationary set is called a hidden oscillation. In nonlinear control theory, the birth of a hidden oscillation in a time-invariant control system with bounded states means crossing a boundary, in the domain of the parameters, where local stability of the stationary states implies global stability. If a hidden oscillation attracts all nearby oscillations, then it is called a hidden attractor. For a dynamical system with a unique equilibrium point that is globally attractive, the birth of a hidden attractor corresponds to a qualitative change in behaviour from monostability to bi-stability. In the general case, a dynamical system may turn out to be multistable and have coexisting local attractors in the phase space. While trivial attractors, i.e. stable equilibrium points, can be easily found analytically or numerically, the search of periodic and chaotic attractors can turn out to be a challenging problem.
A conflict is a situation in which inacceptable differences in interests, expectations, values, and opinions occur in or between individuals or groups.
The following outline is provided as an overview of and topical guide to control engineering:
Peace psychology is a subfield of psychology and peace research that deals with the psychological aspects of peace, conflict, violence, and war. Peace psychology can be characterized by four interconnected pillars: (1) research, (2) education, (3) practice, and (4) advocacy. The first pillar, research, is documented most extensively in this article.
Peter Thomas Coleman is a social psychologist and researcher in the field of conflict resolution and sustainable peace. Coleman is best known for his work on intractable conflicts and applying complexity science.