Developments of energy flow theory for nonlinear dynamical systems and applications to relativistic dynamics
Developments of energy flow theory for nonlinear dynamical systems and applications to relativistic dynamics
A summary on energy flow theory and its contributions to analyze nonlinear dynamical systems (NDS) in design processes is presented, which gives the developed generalised rules from energy flow variables to judge and analyze the stabilities about fixed points or orbits, chaotic motions, and periodical orbits of NDS to design effective NDS safety operating in complex practical environments. This theory provides a generalised approach tackling NDS of nature in almost all macroscopic and microscopic areas. Therefore, following the summary, it is used to investigate particle motions in realistic dynamics to confirm its applications in microscopic field. It has revealed some characteristics of particle motions in relativistic dynamics, such as Heisenberg’s uncertainty principle, rotational motions of particles suffering only central forces, from which a conjecture of photon motion model is proposed and discussed.
nonlinear dynamical systems, macroscopic
Xing, Jing Tang
d4fe7ae0-2668-422a-8d89-9e66527835ce
3 August 2023
Xing, Jing Tang
d4fe7ae0-2668-422a-8d89-9e66527835ce
Xing, Jing Tang
(2023)
Developments of energy flow theory for nonlinear dynamical systems and applications to relativistic dynamics.
IUTAM Symposium<br/>on Nonlinear dynamics for design of mechanical systems across different length/time scales, Epocal Tsukuba (Tsukuba International Congress Center), Tsukuba, Japan.
31 Jul - 04 Aug 2023.
2 pp
.
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Conference or Workshop Item
(Paper)
Abstract
A summary on energy flow theory and its contributions to analyze nonlinear dynamical systems (NDS) in design processes is presented, which gives the developed generalised rules from energy flow variables to judge and analyze the stabilities about fixed points or orbits, chaotic motions, and periodical orbits of NDS to design effective NDS safety operating in complex practical environments. This theory provides a generalised approach tackling NDS of nature in almost all macroscopic and microscopic areas. Therefore, following the summary, it is used to investigate particle motions in realistic dynamics to confirm its applications in microscopic field. It has revealed some characteristics of particle motions in relativistic dynamics, such as Heisenberg’s uncertainty principle, rotational motions of particles suffering only central forces, from which a conjecture of photon motion model is proposed and discussed.
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Published date: 3 August 2023
Venue - Dates:
IUTAM Symposium<br/>on Nonlinear dynamics for design of mechanical systems across different length/time scales, Epocal Tsukuba (Tsukuba International Congress Center), Tsukuba, Japan, 2023-07-31 - 2023-08-04
Keywords:
nonlinear dynamical systems, macroscopic
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Local EPrints ID: 485021
URI: http://eprints.soton.ac.uk/id/eprint/485021
PURE UUID: 8d8abbe0-29e1-416e-9c51-3e75d7acb65a
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Date deposited: 28 Nov 2023 17:37
Last modified: 17 Mar 2024 06:07
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