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2024 | OriginalPaper | Buchkapitel

Influence of Stimulus on the Motion of Substance in a Channel of Network

verfasst von : Zlatinka I. Dimitrova, Yoana Chorbadzhiyska-Stamenova

Erschienen in: New Trends in the Applications of Differential Equations in Sciences

Verlag: Springer Nature Switzerland

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Abstract

Das Kapitel untersucht die komplexe Dynamik der Substanzbewegung innerhalb eines Netzwerkkanals anhand eines nichtlinearen Systemmodells, das auf Differentialgleichungen beruht. Es führt die Simple Equations Method (SEsM) ein, um Forschungsorganisationen als Kette von Knoten zu untersuchen, wobei der Schwerpunkt auf der Bewegung von Forschern zwischen Knoten liegt. Ein Beispiel veranschaulicht die Auswirkungen von Führungsmaßnahmen auf die Dynamik junger und erfahrener Wissenschaftler. Das Kapitel beleuchtet das Zusammenspiel lokaler und globaler Parameter bei der Bestimmung des Erfolgs von Organisationsbemühungen und bietet wertvolle Einblicke in die komplexen Prozesse innerhalb von Forschungsnetzwerken.

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Literatur
1.
Zurück zum Zitat Axelrod R., Cohen M.: Harnessing Complexity. Basic Books, New York (2001) Axelrod R., Cohen M.: Harnessing Complexity. Basic Books, New York (2001)
6.
Zurück zum Zitat Vitanov N.K.: Science Dynamics and Research Production. Indicators, Indexes, Statistical Laws and Mathematical Models. Springer, Cham (2016) Vitanov N.K.: Science Dynamics and Research Production. Indicators, Indexes, Statistical Laws and Mathematical Models. Springer, Cham (2016)
12.
Zurück zum Zitat Larsen-Freeman, D., Cameron, L.: Complex systems and applied linguistics. Oxford: Oxford University Press (2008) Larsen-Freeman, D., Cameron, L.: Complex systems and applied linguistics. Oxford: Oxford University Press (2008)
15.
Zurück zum Zitat Kantz, H., T. Schreiber, T.: Nonlinear Time Series Analysis. Cambridge University Press, Cambridge, UK (2004) Kantz, H., T. Schreiber, T.: Nonlinear Time Series Analysis. Cambridge University Press, Cambridge, UK (2004)
16.
Zurück zum Zitat Jordanov, I., Nikolova, E.: On nonlinear waves in the spatio-temporal dynamics of interacting populations. Journal of Theoretical and Applied Mechanics 43, 69–76 (2013). Jordanov, I., Nikolova, E.: On nonlinear waves in the spatio-temporal dynamics of interacting populations. Journal of Theoretical and Applied Mechanics 43, 69–76 (2013).
18.
Zurück zum Zitat Jordanov, I. P.: On the nonlinear waves in (2+ 1)-dimensional population systems. Comptes rendus de l’Académie bulgare des Sciences 61, 307-314 (2008) Jordanov, I. P.: On the nonlinear waves in (2+ 1)-dimensional population systems. Comptes rendus de l’Académie bulgare des Sciences 61, 307-314 (2008)
19.
Zurück zum Zitat Vitanov, N.K.: Results Connected to Time Series Analysis and Machine Learning. In: Atanassov, K.T. (eds) Research in Computer Science in the Bulgarian Academy of Sciences. Studies in Computational Intelligence, vol 934, pp.363-384. Springer, Cham. (2021). https://doi.org/10.1007/978-3-030-72284-5_17 Vitanov, N.K.: Results Connected to Time Series Analysis and Machine Learning. In: Atanassov, K.T. (eds) Research in Computer Science in the Bulgarian Academy of Sciences. Studies in Computational Intelligence, vol 934, pp.363-384. Springer, Cham. (2021). https://​doi.​org/​10.​1007/​978-3-030-72284-5_​17
20.
Zurück zum Zitat Brockwell P.J., Davis R.A, Calder M.V.: Introduction to Time Series and Forecasting. Springer, New York (2002) Brockwell P.J., Davis R.A, Calder M.V.: Introduction to Time Series and Forecasting. Springer, New York (2002)
21.
Zurück zum Zitat Vitanov, N. K., Ausloos, M. R.: Knowledge epidemics and population dynamics models for describing idea diffusion. In: Scharnhorst A., Boerner K., van den Besselaar P. (eds.) Models of science dynamics. Understanding Complex Systems. pp. 69-125. Springer, Berlin, Heidelberg (2012). https://doi.org/10.1007/978-3-642-23068-4_3 Vitanov, N. K., Ausloos, M. R.: Knowledge epidemics and population dynamics models for describing idea diffusion. In: Scharnhorst A., Boerner K., van den Besselaar P. (eds.) Models of science dynamics. Understanding Complex Systems. pp. 69-125. Springer, Berlin, Heidelberg (2012). https://​doi.​org/​10.​1007/​978-3-642-23068-4_​3
23.
Zurück zum Zitat Ashenfelter, K. T., Boker, S. M., Waddell, J. R., Vitanov, N.: Spatiotemporal symmetry and multifractal structure of head movements during dyadic conversation. Journal of Experimental Psychology: Human Perception and Performance 35, 1072–1091 (2009). https://doi.org/10.1037/a0015017 Ashenfelter, K. T., Boker, S. M., Waddell, J. R., Vitanov, N.: Spatiotemporal symmetry and multifractal structure of head movements during dyadic conversation. Journal of Experimental Psychology: Human Perception and Performance 35, 1072–1091 (2009). https://​doi.​org/​10.​1037/​a0015017
26.
Zurück zum Zitat Fuchs A.: Nonlinear Dynamics in Complex Systems. Springer, Berlin (2014) Fuchs A.: Nonlinear Dynamics in Complex Systems. Springer, Berlin (2014)
28.
Zurück zum Zitat Hale J. K.: Oscillations in Nonlinear Systems. Dover, New York (1991) Hale J. K.: Oscillations in Nonlinear Systems. Dover, New York (1991)
32.
Zurück zum Zitat Hirota, R.: The Direct Method in Soliton Theory. Cambridge University Press, Cambridge, UK (2004) Hirota, R.: The Direct Method in Soliton Theory. Cambridge University Press, Cambridge, UK (2004)
33.
Zurück zum Zitat Vitanov, N. K.: Recent developments of the methodology of the modified method of simplest equation with application. Pliska Studia Mathematica Bulgarica 30, 29–42 (2019). Vitanov, N. K.: Recent developments of the methodology of the modified method of simplest equation with application. Pliska Studia Mathematica Bulgarica 30, 29–42 (2019).
34.
Zurück zum Zitat Vitanov, N.K.: Modified method of simplest equation for obtaining exact solutions of nonlinear partia differential equations: history, recent developments of the methodology and studied of classes of equations. Journal of Theoretical and Applied Mechanics 49, 107–122 (2019). Vitanov, N.K.: Modified method of simplest equation for obtaining exact solutions of nonlinear partia differential equations: history, recent developments of the methodology and studied of classes of equations. Journal of Theoretical and Applied Mechanics 49, 107–122 (2019).
35.
Zurück zum Zitat Vitanov, N. K.: The simple equations method (SEsM) for obtaining exact solutions of nonlinear PDEs: Opportunities connected to the exponential functions. AIP Conference Proceedings vol. 2159, 030038 (2019). https://doi.org/10.1063/1.5127503 Vitanov, N. K.: The simple equations method (SEsM) for obtaining exact solutions of nonlinear PDEs: Opportunities connected to the exponential functions. AIP Conference Proceedings vol. 2159, 030038 (2019). https://​doi.​org/​10.​1063/​1.​5127503
41.
44.
Zurück zum Zitat Vitanov, N. K.: Complicated exact solutions to the 2+ 1-dimensional sine-Gordon equation. Zeitschrift für angewandte Mathematik und Mechanik, 78, S787–S788 (1998). Vitanov, N. K.: Complicated exact solutions to the 2+ 1-dimensional sine-Gordon equation. Zeitschrift für angewandte Mathematik und Mechanik, 78, S787–S788 (1998).
48.
49.
Zurück zum Zitat Vitanov, N. K., Dimitrova, Z. I.: Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics. Communications in Nonlinear Science and Numerical Simulation 15, 2836–2845 (2010). https://doi.org/10.1016/j.cnsns.2009.11.029 Vitanov, N. K., Dimitrova, Z. I.: Application of the method of simplest equation for obtaining exact traveling-wave solutions for two classes of model PDEs from ecology and population dynamics. Communications in Nonlinear Science and Numerical Simulation 15, 2836–2845 (2010). https://​doi.​org/​10.​1016/​j.​cnsns.​2009.​11.​029
52.
Zurück zum Zitat Vitanov, N. K., Dimitrova, Z. I., Vitanov, K. N.: On the class of nonlinear PDEs that can be treated by the modified method of simplest equation. Application to generalized Degasperis-Processi equation and b-equation. Communications in Nonlinear Science and Numerical Simulation 16, 3033–3044 (2011). https://doi.org/10.1016/j.cnsns.2010.11.013 Vitanov, N. K., Dimitrova, Z. I., Vitanov, K. N.: On the class of nonlinear PDEs that can be treated by the modified method of simplest equation. Application to generalized Degasperis-Processi equation and b-equation. Communications in Nonlinear Science and Numerical Simulation 16, 3033–3044 (2011). https://​doi.​org/​10.​1016/​j.​cnsns.​2010.​11.​013
54.
Zurück zum Zitat Vitanov, N. K.: On modified method of simplest equation for obtaining exact solutions of nonlinear PDEs: case of elliptic simplest equation. Pliska Studia Mathematica Bulgarica 21, 257–266 (2012). Vitanov, N. K.: On modified method of simplest equation for obtaining exact solutions of nonlinear PDEs: case of elliptic simplest equation. Pliska Studia Mathematica Bulgarica 21, 257–266 (2012).
55.
Zurück zum Zitat Vitanov, N. K., Dimitrova, Z. I., Kantz, H.: Application of the method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg-de Vries equation and generalized Camassa-Holm equation. Applied Mathematics and Computation 219, 7480–7492 (2013). https://doi.org/10.1016/j.amc.2013.01.035 Vitanov, N. K., Dimitrova, Z. I., Kantz, H.: Application of the method of simplest equation for obtaining exact traveling-wave solutions for the extended Korteweg-de Vries equation and generalized Camassa-Holm equation. Applied Mathematics and Computation 219, 7480–7492 (2013). https://​doi.​org/​10.​1016/​j.​amc.​2013.​01.​035
57.
58.
Zurück zum Zitat Vitanov, N. K., Dimitrova, Z. I., Ivanova, T. I.: On solitary wave solutions of a class of nonlinear partial differential equations based on the function 1/\(cosh^n\) (\(\alpha \)x+ \(\beta \)t). Applied Mathematics and Computation 315, 372–380 (2017). https://doi.org/10.1016/j.amc.2017.07.064 Vitanov, N. K., Dimitrova, Z. I., Ivanova, T. I.: On solitary wave solutions of a class of nonlinear partial differential equations based on the function 1/\(cosh^n\) (\(\alpha \)x+ \(\beta \)t). Applied Mathematics and Computation 315, 372–380 (2017). https://​doi.​org/​10.​1016/​j.​amc.​2017.​07.​064
59.
Zurück zum Zitat Vitanov, N. K., Dimitrova, Z. I., Vitanov, K. N.: Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications. Applied Mathematics and Computation 269, 363–378 (2015). https://doi.org/10.1016/j.amc.2015.07.060 Vitanov, N. K., Dimitrova, Z. I., Vitanov, K. N.: Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications. Applied Mathematics and Computation 269, 363–378 (2015). https://​doi.​org/​10.​1016/​j.​amc.​2015.​07.​060
60.
Zurück zum Zitat Vitanov, N. K., Dimitrova, Z. I.: On the modified method of simplest equation and the nonlinear Schrödinger equation. Journal of Theoretical and Applied Mechanics 48, 59–68 (2018). Vitanov, N. K., Dimitrova, Z. I.: On the modified method of simplest equation and the nonlinear Schrödinger equation. Journal of Theoretical and Applied Mechanics 48, 59–68 (2018).
61.
62.
Zurück zum Zitat Jordanov, I.P., Vitanov, N.K.: On the Exact Traveling Wave Solutions of a Hyperbolic Reaction-Diffusion Equation. In: Georgiev, K., Todorov, M., Georgiev, I. (eds.) Advanced Computing in Industrial Mathematics. BGSIAM 2017. Studies in Computational Intelligence, vol. 793, pp. 199–210. Springer, Cham. (2019). https://doi.org/10.1007/978-3-319-97277-0_16 Jordanov, I.P., Vitanov, N.K.: On the Exact Traveling Wave Solutions of a Hyperbolic Reaction-Diffusion Equation. In: Georgiev, K., Todorov, M., Georgiev, I. (eds.) Advanced Computing in Industrial Mathematics. BGSIAM 2017. Studies in Computational Intelligence, vol. 793, pp. 199–210. Springer, Cham. (2019). https://​doi.​org/​10.​1007/​978-3-319-97277-0_​16
63.
Zurück zum Zitat Nikolova, E. V., Chilikova-Lubomirova, M., Vitanov, N. K.: Exact solutions of a fifth-order Korteweg-de Vries-type equation modeling nonlinear long waves in several natural phenomena. AIP Conference Proceedings vol. 2321, 030026 (2021). https://doi.org/10.1063/5.0040089 Nikolova, E. V., Chilikova-Lubomirova, M., Vitanov, N. K.: Exact solutions of a fifth-order Korteweg-de Vries-type equation modeling nonlinear long waves in several natural phenomena. AIP Conference Proceedings vol. 2321, 030026 (2021). https://​doi.​org/​10.​1063/​5.​0040089
65.
Zurück zum Zitat Nikolova, E.V., Serbezov, D.Z., Jordanov, I.P., Vitanov, N.K.: Non-linear Waves of Interacting Populations with Density-Dependent Diffusion. In: Georgiev, I., Kostadinov, H., Lilkova, E. (eds.) Advanced Computing in Industrial Mathematics. BGSIAM 2018. Studies in Computational Intelligence, vol. 961, pp. 324–332. Springer, Cham. (2021). https://doi.org/10.1007/978-3-030-71616-5_29 Nikolova, E.V., Serbezov, D.Z., Jordanov, I.P., Vitanov, N.K.: Non-linear Waves of Interacting Populations with Density-Dependent Diffusion. In: Georgiev, I., Kostadinov, H., Lilkova, E. (eds.) Advanced Computing in Industrial Mathematics. BGSIAM 2018. Studies in Computational Intelligence, vol. 961, pp. 324–332. Springer, Cham. (2021). https://​doi.​org/​10.​1007/​978-3-030-71616-5_​29
66.
Zurück zum Zitat Vitanov, N. K., Dimitrova, Z. I., Vitanov, K. N.: Simple Equations Method (SEsM): Algorithm, connection with Hirota method, Inverse Scattering Transform Method, and several other methods. Entropy, 23, 10 (2021). https://doi.org/10.3390/e23010010 Vitanov, N. K., Dimitrova, Z. I., Vitanov, K. N.: Simple Equations Method (SEsM): Algorithm, connection with Hirota method, Inverse Scattering Transform Method, and several other methods. Entropy, 23, 10 (2021). https://​doi.​org/​10.​3390/​e23010010
67.
Zurück zum Zitat Vitanov. N.K.: Schrödinger Equation and Nonlinear Waves, Simpao, V., H. Little H.(eds.) In: Understanding the Schrödinger Equation. pp. 37–92. Nova Science Publishers, New York (2020) Vitanov. N.K.: Schrödinger Equation and Nonlinear Waves, Simpao, V., H. Little H.(eds.) In: Understanding the Schrödinger Equation. pp. 37–92. Nova Science Publishers, New York (2020)
74.
Zurück zum Zitat Dimitrova, Z. I.: On several specific cases of the simple equations method (SEsM): Jacobi elliptic function expansion method, F-expansion method, modified simple equation method, trial function method, general projective Riccati equations method, and first intergal method. AIP Conference Proceedings vol. 2459, 030006 (2022). https://doi.org/10.1063/5.0083573 Dimitrova, Z. I.: On several specific cases of the simple equations method (SEsM): Jacobi elliptic function expansion method, F-expansion method, modified simple equation method, trial function method, general projective Riccati equations method, and first intergal method. AIP Conference Proceedings vol. 2459, 030006 (2022). https://​doi.​org/​10.​1063/​5.​0083573
76.
Zurück zum Zitat Raymer, J. . The estimation of international migration flows: a general technique focused on the origin-destination association structure. Environment and Planning A, 39, 985–995 (2007). https://doi.org/10.1068/a38264. Raymer, J. . The estimation of international migration flows: a general technique focused on the origin-destination association structure. Environment and Planning A, 39, 985–995 (2007). https://​doi.​org/​10.​1068/​a38264.
77.
Zurück zum Zitat Vitanov, N. K., Borisov, R. A Model of a motion of substance in a channel of a network. Journal of Theoretical and Applied Mechanics, 48 (3), 74–84 (2018). Vitanov, N. K., Borisov, R. A Model of a motion of substance in a channel of a network. Journal of Theoretical and Applied Mechanics, 48 (3), 74–84 (2018).
Metadaten
Titel
Influence of Stimulus on the Motion of Substance in a Channel of Network
verfasst von
Zlatinka I. Dimitrova
Yoana Chorbadzhiyska-Stamenova
Copyright-Jahr
2024
DOI
https://doi.org/10.1007/978-3-031-53212-2_10