CROSS-BORDER COOPERATION AS A FRACTAL SYSTEM: FROM LOCAL INTERACTIONS TO GLOBAL GEOPOLITICAL PROCESSES

Authors

  • Olena Koppel
  • Olena Parkhomchuk

DOI:

https://doi.org/10.17721/apmv.2026.167.1.21-33

Abstract

. The purpose of this article is to examine cross-border cooperation as a fractal system in which local interactions among border communities, regions and states reproduce the structural and functional characteristics of the international system at higher levels of organization. The study substantiates the applicability of the fractal approach to the analysis of cross-border processes under conditions of globalization, regionalization and the transformation of the world order. Particular attention is devoted to the principles of self-similarity, nonlinearity, scalability and network interdependence that shape the evolution of contemporary cross-border relations. Using systemic, comparative and fractal analysis, the article explores the interconnection between local border practices and broader political, economic and security dynamics. It demonstrates that cross-border cooperation functions not only as an instrument of regional development but also as an important mechanism for the formation of a multi-level architecture of international relations. The study examines the influence of European integration, digitalization, migration processes, security challenges and the Russo-Ukrainian war on the transformation of cross-border interactions. The scientific novelty lies in introducing three key concepts: fractal cascades, geopolitical sensors, and fractal networks of cross-border cooperation. A fractal cascade explains the spread of local crises or innovations across levels of the international system. In this context, the Russia-Ukraine war is analyzed as a massive fractal cascade that shifted the security architecture of Europe. Border territories are conceptualized as geopolitical sensors that detect systemic changes at an early stage. The paper concludes that under multipolarity, cross-border cooperation operates as a system-forming rather than a peripheral element, organizing complex adaptive networks.

References:

Acharya, A. (2014). The end of American world order. Polity Press.

Buzan, B., & Wæver, O. (2003). Regions and powers: The structure of international security. Cambridge University Press.

Castells, M. (2010). The rise of the network society (2nd ed.). Wiley-Blackwell.

European Commission. (2024a). Cohesion policy and territorial cooperation in the European Union. https://ec.europa.eu/regional_policy

European Commission. (2024b). Interreg cooperation programmes 2021–2027. https://ec.europa.eu/regional_policy/policy/cooperation_en

Holland, J. H. (2014). Complexity: A very short introduction. Oxford University Press.

Khanna, P. (2016). Connectography: Mapping the future of global civilization. Random House.

Koppel, O., & Parkhomchuk, O. (2024). Fractal model of international relations: Theoretical foundations and methodological potential. International Relations Series.

Koppel, O. A., & Parkhomchuk, O. S. (2025a). Cherez fraktaly do hlobalnoho poriadku: Novyi pidkhid do analizu mizhnarodnoi systemy [Through fractals to the global order: A new approach to the analysis of the international system]. Rehionalni studii [Regional Studies], 41, 18–27. https://doi.org/10.32782/2663-6170/2025.41.3

Koppel, O. A., & Parkhomchuk, O. S. (2025b). Transkordonni vidnosyny v konteksti rozvytku shtuchnoho intelektu: Vyklyky ta perspektyvy [Cross-border relations in the context of artificial intelligence development: Challenges and prospects]. Aktualni problemy mizhnarodnykh vidnosyn [Actual Problems of International Relations], 163, 41–48.

Koppel, O. A., & Parkhomchuk, O. S. (2025c). Shtuchnyi intelekt yak instrument heopolitychnoho vplyvu: Fraktalnyi vymir mizhnarodnoi bezpeky [Artificial intelligence as an instrument of geopolitical influence: The fractal dimension of international security]. In Materialy VIII Mizhnarodnoi naukovo-teoretychnoi konferentsii [Proceedings of the VIII International Scientific and Theoretical Conference].

Macedo, G., & Barbosa, L. (2022). Ethics and artificial intelligence: Migration. Model International Mobility Convention. Carnegie Council for Ethics in International Affairs. https://www.carnegiecouncil.org

Medeiros, E. (2018). Should EU cross-border cooperation programmes focus mainly on reducing border obstacles? Documents d’Anàlisi Geogràfica, 64(3), 467–491. https://doi.org/10.5565/rev/dag.517

Mikula, N. A. (2004). Mizhterytorialne ta transkordonne spivrobitnytstvo [Interterritorial and cross-border cooperation]. IRD NAN Ukrainy.

Mitchell, M. (2009). Complexity: A guided tour. Oxford University Press.

NATO. (2024). NATO enlargement and collective security in Northern Europe. https://www.nato.int

OECD. (2024). Digital government index 2023 results. OECD Publishing. https://www.oecd.org

Paasi, A. (1996). Territories, boundaries and consciousness: The changing geographies of the Finnish-Russian border. Wiley.

Parkhomchuk, O. S. (2025). Fraktalnyi pidkhid do doslidzhennia mizhnarodnykh system v umovakh bahatopoliarnosti [Fractal approach to the study of international systems under multipolarity]. Mizhnarodni vidnosyny. Seriia "Politychni nauky" [International Relations. Series "Political Sciences"], 34, 15–29.

Perkmann, M. (2003). Cross-border regions in Europe: Significance and drivers of regional cross-border co-operation. European Urban and Regional Studies, 10(2), 153–171. https://doi.org/10.1177/0969776403010002004

Resler, M., & Reis, T. (2023). Yevropeiskyi dosvid upravlinnia rozvytkom transkordonnoho spivrobitnytstva [European experience of managing the development of cross-border cooperation]. Pidpryiemnytstvo i torhivlia [Entrepreneurship and Trade], 37, 49–56. https://doi.org/10.32782/2522-1256-2023-37-05

Scott, J. W. (2012). European politics of borders, border symbolism and cross-border cooperation. In T. Wilson & H. Donnan (Eds.), A companion to border studies (pp. 83–99). Wiley-Blackwell.

Studennikov, I. V. (2005). Transkordonne spivrobitnytstvo ta yoho rol u protsesakh yevropeiskoi intehratsii [Cross-border cooperation and its role in European integration processes]. Rehionalna ekonomika [Regional Economy], 2, 72–78.

UNHCR. (2025). Ukraine refugee situation. https://data.unhcr.org

World Bank. (2023). Middle trade and transport corridor: Policies and investments to triple freight volumes and halve travel time by 2030. World Bank. https://www.worldbank.org

Yurkiv, A. (2024). Rozvytok transkordonnoho spivrobitnytstva v umovakh yevrointehratsii Ukrainy [Development of cross-border cooperation under European integration of Ukraine]. Biznes Inform [Business Inform], 3, 57–62. https://doi.org/10.32983/2222-4459-2024-3-57-62

Downloads

Published

2026-06-30