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M. Eisencraft, Joao Evangelista, R. Costa, Rodrigo Fontes, Renato Candido, D. Chaves, C. Pimentel, Magno Silva (2018)
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An Investigation of the Chaotic Transient for a Boundary Crisis in the Fermi-Ulam ModelA Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems
R. Donner, Michael Lindner, L. Tupikina, N. Molkenthin (2018)
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K. Alligood, T. Sauer, J. Yorke, J. Crawford (1997)
Chaos: An Introduction to Dynamical Systems
E. Macau, C. Grebogi (1999)
Driving trajectories in complex systemsPhysical Review E, 59
G. Ramírez-Ávila, J. Kurths, S. Depickère, J. Deneubourg (2018)
Modeling Fireflies SynchronizationA Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems
[Nonlinear dynamics is about systems whose dynamics is ruled by nonlinear algebraic or nonlinear differential equations. In regard to their physical behavior, the relationships between changes in their inputs and the resultant behavior in their outputs are not proportional to one another. This behavior characterizes them as nonlinear systems. A nonlinear system may present chaotic dynamics if its dynamics is on average exponentially sensitive to changes in its initial condition [1]. In this case, although generated by a deterministic system, a chaotic trajectory appears to be complicated and even resembles having random behavior.]
Published: Jun 15, 2018
Keywords: Boundary Crisis; Flow System Studies; Message Authentication Method; Coherent Collective Motion; Transient Chaos
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