12 research outputs found
Rolling in the Higgs Model and Elliptic Functions
Asymptotic methods in nonlinear dynamics are used to improve perturbation
theory results in the oscillations regime. However, for some problems of
nonlinear dynamics, particularly in the case of Higgs (Duffing) equation and
the Friedmann cosmological equations, not only small oscillations regime is of
interest but also the regime of rolling (climbing), more precisely the rolling
from a top (climbing to a top). In the Friedman cosmology, where the slow
rolling regime is often used, the rolling from a top (not necessary slow) is of
interest too.
In the present work a method for approximate solution to the Higgs equation
in the rolling regime is presented. It is shown that in order to improve
perturbation theory in the rolling regime turns out to be effective not to use
an expansion in trigonometric functions as it is done in case of small
oscillations but use expansions in hyperbolic functions instead. This regime is
investigated using the representation of the solution in terms of elliptic
functions. An accuracy of the corresponding approximation is estimated.Comment: Latex, 36 Pages, 8 figures, typos correcte
14th Conference on Dynamical Systems Theory and Applications DSTA 2017 ABSTRACTS
From Preface:
This is the fourteen time when the conference “Dynamical Systems – Theory and
Applications” gathers a numerous group of outstanding scientists and engineers, who deal with
widely understood problems of theoretical and applied dynamics.
Organization of the conference would not have been possible without a great effort of the
staff of the Department of Automation, Biomechanics and Mechatronics. The patronage over
the conference has been taken by the Committee of Mechanics of the Polish Academy of
Sciences and the Ministry of Science and Higher Education.
It is a great pleasure that our invitation has been accepted by so many people, including good
colleagues and friends as well as a large group of researchers and scientists, who decided to
participate in the conference for the first time. With proud and satisfaction we welcome nearly
250 persons from 38 countries all over the world. They decided to share the results of their
research and many years experiences in the discipline of dynamical systems by submitting many
very interesting papers.
This booklet contains a collection of 375 abstracts, which have gained the acceptance of
referees and have been qualified for publication in the conference proceedings [...]
Vibration, Control and Stability of Dynamical Systems
From Preface: This is the fourteenth time when the conference “Dynamical Systems: Theory and Applications” gathers a numerous group of outstanding scientists and engineers, who deal with widely understood problems of theoretical and applied dynamics. Organization of the conference would not have been possible without a great effort of the staff of the Department of Automation, Biomechanics and Mechatronics. The patronage over the conference has been taken by the Committee of Mechanics of the Polish Academy of Sciences and Ministry of Science and Higher Education of Poland. It is a great pleasure that our invitation has been accepted by recording in the history of our conference number of people, including good colleagues and friends as well as a large group of researchers and scientists, who decided to participate in the conference for the first time. With proud and satisfaction we welcomed over 180 persons from 31 countries all over the world. They decided to share the results of their research and many years experiences in a discipline of dynamical systems by submitting many very interesting papers. This year, the DSTA Conference Proceedings were split into three volumes entitled “Dynamical Systems” with respective subtitles: Vibration, Control and Stability of Dynamical Systems; Mathematical and Numerical Aspects of Dynamical System Analysis and Engineering Dynamics and Life Sciences. Additionally, there will be also published two volumes of Springer Proceedings in Mathematics and Statistics entitled “Dynamical Systems in Theoretical Perspective” and “Dynamical Systems in Applications”
Engineering Dynamics and Life Sciences
From Preface:
This is the fourteenth time when the conference “Dynamical Systems: Theory
and Applications” gathers a numerous group of outstanding scientists and engineers, who
deal with widely understood problems of theoretical and applied dynamics.
Organization of the conference would not have been possible without a great effort of
the staff of the Department of Automation, Biomechanics and Mechatronics. The patronage
over the conference has been taken by the Committee of Mechanics of the Polish Academy
of Sciences and Ministry of Science and Higher Education of Poland.
It is a great pleasure that our invitation has been accepted by recording in the history
of our conference number of people, including good colleagues and friends as well as a large
group of researchers and scientists, who decided to participate in the conference for the
first time. With proud and satisfaction we welcomed over 180 persons from 31 countries all
over the world. They decided to share the results of their research and many years
experiences in a discipline of dynamical systems by submitting many very interesting
papers.
This year, the DSTA Conference Proceedings were split into three volumes entitled
“Dynamical Systems” with respective subtitles: Vibration, Control and Stability of Dynamical
Systems; Mathematical and Numerical Aspects of Dynamical System Analysis and
Engineering Dynamics and Life Sciences. Additionally, there will be also published two
volumes of Springer Proceedings in Mathematics and Statistics entitled “Dynamical Systems
in Theoretical Perspective” and “Dynamical Systems in Applications”
Mathematical and Numerical Aspects of Dynamical System Analysis
From Preface: This is the fourteenth time when the conference “Dynamical Systems: Theory and Applications” gathers a numerous group of outstanding scientists and engineers, who deal with widely understood problems of theoretical and applied dynamics. Organization of the conference would not have been possible without a great effort of the staff of the Department of Automation, Biomechanics and Mechatronics. The patronage over the conference has been taken by the Committee of Mechanics of the Polish Academy of Sciences and Ministry of Science and Higher Education of Poland. It is a great pleasure that our invitation has been accepted by recording in the history of our conference number of people, including good colleagues and friends as well as a large group of researchers and scientists, who decided to participate in the conference for the first time. With proud and satisfaction we welcomed over 180 persons from 31 countries all over the world. They decided to share the results of their research and many years experiences in a discipline of dynamical systems by submitting many very interesting papers. This year, the DSTA Conference Proceedings were split into three volumes entitled “Dynamical Systems” with respective subtitles: Vibration, Control and Stability of Dynamical Systems; Mathematical and Numerical Aspects of Dynamical System Analysis and Engineering Dynamics and Life Sciences. Additionally, there will be also published two volumes of Springer Proceedings in Mathematics and Statistics entitled “Dynamical Systems in Theoretical Perspective” and “Dynamical Systems in Applications”
15th Conference on Dynamical Systems Theory and Applications DSTA 2019 ABSTRACTS
From Preface: This is the fifteen time when the conference „Dynamical Systems – Theory and Applications” gathers a numerous group of outstanding scientists and engineers, who deal with widely understood problems of theoretical and applied dynamics. Organization of the conference would not have been possible without a great effort of the staff of the Department of Automation, Biomechanics and Mechatronics. The patronage over the conference has been taken by the Committee of Mechanics of the Polish Academy of Sciences and the Ministry of Science and Higher Education. It is a great pleasure that our invitation has been accepted by so many people, including good colleagues and friends as well as a large group of researchers and scientists, who decided to
participate in the conference for the first time. With proud and satisfaction we welcome nearly 255 persons from 47 countries all over the world. They decided to share the results of their research and many years experiences in the discipline of dynamical systems by submitting many very interesting papers. This booklet contains a collection of 338 abstracts, which have gained the acceptance of referees and have been qualified for publication in the conference edited books.Technical editor and cover design: Kaźmierczak, MarekCover design: Ogińska, Ewelina; Kaźmierczak, Mare
Dynamical systems : mechatronics and life sciences
Proceedings of the 13th Conference „Dynamical Systems - Theory and Applications"
summarize 164 and the Springer Proceedings summarize 60 best papers of university
teachers and students, researchers and engineers from whole the world. The papers were
chosen by the International Scientific Committee from 315 papers submitted to the
conference. The reader thus obtains an overview of the recent developments of dynamical
systems and can study the most progressive tendencies in this field of science
Dynamical systems : control and stability
Proceedings of the 13th Conference „Dynamical Systems - Theory and Applications"
summarize 164 and the Springer Proceedings summarize 60 best papers of university
teachers and students, researchers and engineers from whole the world. The papers were
chosen by the International Scientific Committee from 315 papers submitted to the
conference. The reader thus obtains an overview of the recent developments of dynamical
systems and can study the most progressive tendencies in this field of science