[图书][B] Chaos near resonance
G Haller - 2012 - books.google.com
Resonances are ubiquitous in dynamical systems with many degrees of freedom. They have
the basic effect of introducing slow-fast behavior in an evolutionary system which, coupled …
the basic effect of introducing slow-fast behavior in an evolutionary system which, coupled …
Multi-pulse chaotic dynamics in non-planar motion of parametrically excited viscoelastic moving belt
M Yao, W Zhang, JW Zu - Journal of Sound and Vibration, 2012 - Elsevier
This paper investigates the multi-pulse global bifurcations and chaotic dynamics for the
nonlinear, non-planar oscillations of the parametrically excited viscoelastic moving belt …
nonlinear, non-planar oscillations of the parametrically excited viscoelastic moving belt …
Global bifurcations and chaotic dynamics in nonlinear nonplanar oscillations of a parametrically excited cantilever beam
W Zhang, F Wang, M Yao - Nonlinear Dynamics, 2005 - Springer
This paper presents the analysis of the global bifurcations and chaotic dynamics for the
nonlinear nonplanar oscillations of a cantilever beam subjected to a harmonic axial …
nonlinear nonplanar oscillations of a cantilever beam subjected to a harmonic axial …
A Melnikov method for homoclinic orbits with many pulses
R Camassa, G Kovačič, SK Tin - Archive for Rational Mechanics and …, 1998 - Springer
We present an extension of the Melnikov method which can be used for ascertaining the
existence of homoclinic and heteroclinic orbits with many pulses in a class of near …
existence of homoclinic and heteroclinic orbits with many pulses in a class of near …
Stability and multi-pulse jumping chaotic vibrations of a rotor-active magnetic bearing system with 16-pole legs under mechanical-electric-electromagnetic excitations
WS Ma, W Zhang, YF Zhang - European Journal of Mechanics-A/Solids, 2021 - Elsevier
The stability and Shilnikov-type multi-pulse jumping chaotic vibrations are investigated for a
nonlinear rotor-active magnetic bearing (AMB) system with the time varying stiffness and 16 …
nonlinear rotor-active magnetic bearing (AMB) system with the time varying stiffness and 16 …
Using the extended Melnikov method to study the multi-pulse global bifurcations and chaos of a cantilever beam
W Zhang, MH Yao, JH Zhang - Journal of Sound and Vibration, 2009 - Elsevier
The aim of this paper is to investigate the multi-pulse global bifurcations and chaotic
dynamics for the nonlinear non-planar oscillations of a cantilever beam subjected to a …
dynamics for the nonlinear non-planar oscillations of a cantilever beam subjected to a …
Detecting multi-pulse chaotic dynamics of high-dimensional non-autonomous nonlinear system for circular mesh antenna
This paper investigates the global bifurcations and multi-pulse jumping chaotic dynamics of
circular mesh antenna. An equivalent continuum circular cylindrical shell is employed to …
circular mesh antenna. An equivalent continuum circular cylindrical shell is employed to …
Theories of multi-pulse global bifurcations for high-dimensional systems and application to cantilever beam
W ZHANG, MH Yao - International Journal of Modern Physics B, 2008 - World Scientific
The aim of this survey paper is to illustrate the perspectives on the theories of the single-and
multi-pulse global bifurcations and chaotic dynamics of high-dimensional nonlinear systems …
multi-pulse global bifurcations and chaotic dynamics of high-dimensional nonlinear systems …
Global bifurcations and chaos for a rotor-active magnetic bearing system with time-varying stiffness
W Zhang, JW Zu, FX Wang - Chaos, Solitons & Fractals, 2008 - Elsevier
In this paper, we investigate the global bifurcations and chaotic dynamics in the rotor-active
magnetic bearings (AMB) system with 8-pole legs and time-varying stiffness. From the …
magnetic bearings (AMB) system with 8-pole legs and time-varying stiffness. From the …
Pipes conveying pulsating fluid near a 0: 1 resonance: global bifurcations
RJ McDonald, NS Namachchivaya - Journal of Fluids and Structures, 2005 - Elsevier
We study the global dynamics of parametrically excited pipes conveying fluid near a 0: 1
resonance. A major goal of the analysis is to understand how energy may be transferred …
resonance. A major goal of the analysis is to understand how energy may be transferred …