The Chaplygin Sleigh with Parametric Excitation: Chaotic Dynamics and Nonholonomic Acceleration
نویسندگان
چکیده
منابع مشابه
Asymptotic Hamiltonian Dynamics: the Toda Lattice, the Three-wave Interaction and the Nonholonomic Chaplygin Sleigh
In this paper we discuss asymptotic stability in energy-preserving systems which have an almost Poisson structure. In particular we consider a class of Poisson systems which includes the Toda lattice. In standard Hamiltonian systems one of course does not expect asymptotic stability. The key here is the structure of the phase space of the Poisson or almost Poisson systems and the nature of the ...
متن کاملDynamics of the Discrete Chaplygin Sleigh
This paper studies the dynamics of the discrete Chaplygin sleigh. Properties such as discrete momentum and measure conservation are explored.
متن کاملDiscontinuous energy shaping control of the Chaplygin sleigh
In this paper we present an energy shaping control law for set-point regulation of the Chaplygin sleigh. It is well known that nonholonomic mechanical systems cannot be asymptotically stabilised using smooth control laws as they do no satisfy Brockett’s necessary condition for smooth stabilisation. Here, we propose a discontinuous control law that can be seen as a potential energy shaping and d...
متن کاملchaotic motion and its control for a non-planar non-linear cantilever beam with parametric excitation
in this paper, chaotic motion analysis and its control for a non-planar non-linear cantilever beam with axial and lateral parametric excitation in the free end is accomplished. this is a new method for control of chaotic motion of a non-linear planar beam. in this survey, internal resonance of the beam is 2:1 and the initial resonance is in the outside of plane and it is assumed a sub-resonance...
متن کاملParametric Excitation and Evolutionary Dynamics
Parametric excitation refers to dynamics problems in which the forcing function enters into the governing differential equation as a variable coefficient. Evolutionary dynamics refers to a mathematical model of natural selection (the “replicator” equation) which involves a combination of game theory and differential equations. In this paper we apply perturbation theory to investigate parametric...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Regular and Chaotic Dynamics
سال: 2017
ISSN: 1560-3547,1468-4845
DOI: 10.1134/s1560354717080056