Abstract
Chaotic, fractional, and complex dynamics constitute fields of research that, as a whole, share many ideas and methods to attack numerous problems of either fundamental or applied nature. This introductory chapter presents a brief overview of the contributions to this book across the above-mentioned areas. The content of the book covers a wide range of topics, from research on fundamental problems to practical applications, providing new insights and broad perspectives.
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References
Daza, A., Wagemakers, A., Georgeot, B., Guéry-Odelin, D., Sanjuán, M.A.F.: Basin entropy, a measure of final state unpredictability and its application to the chaotic scattering of cold atoms. In: Edelman, M., Macau, E.N.N., Sanjuán, M.A.F. (eds.) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Springer, Cham (2018)
Ramirez-Avila, G.M., Kurths, J., Deneubourg, J.L.: Fireflies: a paradigm in synchronization. In: Edelman, M., Macau, E.N.N., Sanjuán, M.A.F. (eds.) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Springer, Cham (2018)
Gokul, P.M., Kapitaniak, T., Ghosha, A.: Mixed synchronization in the presence of cyclic chaos. In: Edelman, M., Macau, E.N.N., Sanjuán, M.A.F. (eds.) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Springer, Cham (2018)
Luo, A.C.J., Xing, S.: Time-delay effects on periodic motions in a duffing oscillator. In: Edelman, M., Macau, E.N.N., Sanjuán, M.A.F. (eds.) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Springer, Cham (2018)
Freire, J.G., Gallas, M.R., Gallas, J.A.C.: Nonchaos-mediated mixed-mode oscillations in a prey-predator model with predator dormancy. In: Edelman, M., Macau, E.N.N., Sanjuán, M.A.F. (eds.) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Springer, Cham (2018)
Alberto, L.F.C., Amaral, F.M., Gouveia Jr., J.R.R.: Bifurcations and stability regions of nonlinear dynamical systems. In: Edelman, M., Macau, E.N.N., Sanjuán, M.A.F. (eds.) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Springer, Cham (2018)
Edelman, M.: Universality in systems with power-law memory and fractional dynamics. In: Edelman, M., Macau, E.N.N., Sanjuán, M.A.F. (eds.) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Springer, Cham (2018)
Tarasova, V.V., Tarasov, V.E.: Fractional deterministic factor analysis of economic processes with memory and nonlocality. In: Edelman, M., Macau, E.N.N., Sanjuán, M.A.F. (eds.) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Springer, Cham (2018)
Lopes, A.M., Tenreiro Machado, J.A., Ramalho, E.: Fractional-order model of wine. In: Edelman, M., Macau, E.N.N., Sanjuán, M.A.F. (eds.) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Springer, Cham (2018)
Ostrovsky, L.A., Stepanyants, YuA: Dynamics of particles and bubbles under the action of acoustic radiation force. In: Edelman, M., Macau, E.N.N., Sanjuán, M.A.F. (eds.) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Springer, Cham (2018)
Santos, L.F., Torres-Herrera, E.J.: Nonequilibrium quantum dynamics of many-body systems. In: Edelman, M., Macau, E.N.N., Sanjuán, M.A.F. (eds.) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Springer, Cham (2018)
Klinshov, V., Lücken, L., Yanchuk, S., Nekorkin, V.: Multi-jittering instability in oscillatory systems with pulse coupling. In: Edelman, M., Macau, E.N.N., Sanjuán, M.A.F. (eds.) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Springer, Cham (2018)
Grzybowski, J.M.V., Macau, E.E.N., Yoneyama, T.: Power-grids as complex networks: emerging investigations into robustness and stability. In: Edelman, M., Macau, E.N.N., Sanjuán, M.A.F. (eds.) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Springer, Cham (2018)
Acknowledgements
ME acknowledges support by the Stern College at Yeshiva University. EENM acknowledges the financial support of the São Paulo Research Foundation (FAPESP) grant #2015/50122-0 and the Brazilian National Scientific Research Council (CNPq). MAFS acknowledges financial support by the Spanish Ministry of Economy and Competitiveness under Project No. FIS2013-40653-P and by the Spanish State Research Agency (AEI) and the European Regional Development Fund (FEDER) under Project No. FIS2016-76883-P. Furthermore, he also acknowledges the jointly sponsored financial support by the Fulbright Program and the Spanish Ministry of Education (Program No. FMECD-ST-2016).
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Edelman, M., Macau, E.E.N., Sanjuán, M.A.F. (2018). New Insights and Perspectives in Chaotic, Fractional, and Complex Dynamics. In: Edelman, M., Macau, E., Sanjuan, M. (eds) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-68109-2_1
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DOI: https://doi.org/10.1007/978-3-319-68109-2_1
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