The role of "Dynamics and Stability" in the history of AIMETA Conferences is discussed. It is emphasized that these subjects, initially away from the interests of the scientific community, have assumed increasing importance over time, culminating in the foundation of the AIMETA Group of Dynamics and Stability (GADeS), which today collects scientific contributions from many members belonging to different scientific sectors. The first timid steps taken by "Dynamics and Stability" in AIMETA are recalled in a historical key, and the causes that first slowed down and then determined their growth are conjectured. With reference to Dynamics and to its classic distinction between linear and nonlinear behaviour, the perturbation method is seen as a key to interpreting nonlinear phenomena. With reference to Stability and Bifurcation, the existence of non-communicating worlds, namely static and dynamic bifurcations, is noted in the world scientific panorama. Once again, the perturbation method can be recognized as the tool that acts as a bridge between the two worlds. Finally, the main topics that have been debated in the GADeS meetings and mini-symposia are briefly reviewed. This paper, in addition to representing a historical synthesis and a cross-section of contemporary research in "Dynamics and Stability" within AIMETA, offers critical considerations on the fragmentation of knowledge, and encourages the development of a unifying vision of the two disciplines.

Dynamics and stability: From an ancillary to a leading role in the history of AIMETA

Piccardo G.
2022-01-01

Abstract

The role of "Dynamics and Stability" in the history of AIMETA Conferences is discussed. It is emphasized that these subjects, initially away from the interests of the scientific community, have assumed increasing importance over time, culminating in the foundation of the AIMETA Group of Dynamics and Stability (GADeS), which today collects scientific contributions from many members belonging to different scientific sectors. The first timid steps taken by "Dynamics and Stability" in AIMETA are recalled in a historical key, and the causes that first slowed down and then determined their growth are conjectured. With reference to Dynamics and to its classic distinction between linear and nonlinear behaviour, the perturbation method is seen as a key to interpreting nonlinear phenomena. With reference to Stability and Bifurcation, the existence of non-communicating worlds, namely static and dynamic bifurcations, is noted in the world scientific panorama. Once again, the perturbation method can be recognized as the tool that acts as a bridge between the two worlds. Finally, the main topics that have been debated in the GADeS meetings and mini-symposia are briefly reviewed. This paper, in addition to representing a historical synthesis and a cross-section of contemporary research in "Dynamics and Stability" within AIMETA, offers critical considerations on the fragmentation of knowledge, and encourages the development of a unifying vision of the two disciplines.
2022
978-3-030-94194-9
978-3-030-94195-6
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/1164175
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