[图书][B] Averaging methods in nonlinear dynamical systems
JA Sanders, F Verhulst, J Murdock - 2007 - Springer
Perturbation theory and in particular normal form theory has shown strong growth during the
last decades. So it is not surprising that we are presenting a rather drastic revision of the first …
last decades. So it is not surprising that we are presenting a rather drastic revision of the first …
Ss antman je marsden l. sirovich
JKHPHJ Keener, JKBJMA Mielke, CSPKR Sreenivasan - 2005 - Springer
The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …
physically natural, and conceptually simple, of the quasilinear system of partial differential …
[图书][B] Geometric mechanics-Part I: Dynamics and symmetry
DD Holm - 2011 - books.google.com
See also GEOMETRIC MECHANICS—Part II: Rotating, Translating and Rolling (2nd Edition)
This textbook introduces the tools and language of modern geometric mechanics to …
This textbook introduces the tools and language of modern geometric mechanics to …
[HTML][HTML] On the motion of a damped rigid body near resonances under the influence of harmonically external force and moments
This paper presents the motion of a harmonically excited dynamical system with three
degrees of freedom (3-DOF) in which it consists of a connected rigid body with a damped …
degrees of freedom (3-DOF) in which it consists of a connected rigid body with a damped …
[图书][B] Nonlinear resonance analysis: theory, computation, applications
E Kartashova - 2010 - books.google.com
Nonlinear resonance analysis is a unique mathematical tool that can be used to study
resonances in relation to, but independently of, any single area of application. This is the first …
resonances in relation to, but independently of, any single area of application. This is the first …
[图书][B] Asymptotic multiple scale method in time domain: multi-degree-of-freedom stationary and nonstationary dynamics
J Awrejcewicz, R Starosta, G Sypniewska-Kamińska - 2022 - taylorfrancis.com
This book offers up novel research which uses analytical approaches to explore nonlinear
features exhibited by various dynamic processes. Relevant to disciplines across …
features exhibited by various dynamic processes. Relevant to disciplines across …
Stepwise precession of the resonant swinging spring
The swinging spring, or elastic pendulum, has a 2: 1: 1 resonance arising at cubic order in
its approximate Lagrangian. The corresponding modulation equations are the well-known …
its approximate Lagrangian. The corresponding modulation equations are the well-known …
Molecule as a Quantum Realization of the Resonant Swing-Spring with Monodromy
We consider the wide class of systems modeled by an integrable approximation to the 3
degrees of freedom elastic pendulum with 1∶ 1∶ 2 resonance, or the swing-spring. This …
degrees of freedom elastic pendulum with 1∶ 1∶ 2 resonance, or the swing-spring. This …
Resonance clustering in wave turbulent regimes: Integrable dynamics
MD Bustamante, E Kartashova - Communications in Computational …, 2011 - cambridge.org
Two fundamental facts of the modern wave turbulence theory are 1) existence of power
energy spectra in k-space, and 2) existence of “gaps” in this spectra corresponding to the …
energy spectra in k-space, and 2) existence of “gaps” in this spectra corresponding to the …
The dynamical behavior of a rigid body relative equilibrium position
TS Amer - Advances in Mathematical Physics, 2017 - Wiley Online Library
In this paper, we will focus on the dynamical behavior of a rigid body suspended on an
elastic spring as a pendulum model with three degrees of freedom. It is assumed that the …
elastic spring as a pendulum model with three degrees of freedom. It is assumed that the …