Explore: Nonholonomic Dynamical Systems

A nonholonomic system in physics and mathematics is a physical system whose state depends on the path taken in order to achieve it. Such a system is described

equations, the system is holonomic. If it is untrue for even one test combination, the system is nonholonomic. Consider this dynamical system described by

relaxed to allow nonholonomic constraints, there are other possible integrable tops besides the three well-known cases. The nonholonomic Goryachev–Chaplygin

social structure modelling. Multi-agent systems consist of agents and their environment. Typically multi-agent systems research refers to software agents.

Powerball®: A Nonholonomic, Underactuated and Variable Structure-Type System". Mathematical and Computer Modelling of Dynamical Systems. 16 (4): 327–346

easily handle problems with obstacles and differential constraints (nonholonomic and kinodynamic) and have been widely used in autonomous robotic motion

) = 2 n f n {\displaystyle x(f_{n+1}+f_{n-1})=2nf_{n}} . Examples of nonholonomic functions include: the function x e x − 1 {\displaystyle {\frac {x}{e^{x}-1}}}

Gay-Balmaz, Ratiu, Tronci (2013) Magnetohydrodynamics Molecular oscillations Nonholonomic constraints — see Bloch (2003) Nonlinear stability Plasmas — see Holm

dynamics of the falling cat problem is a prototypical example of a nonholonomic system, the study of which is among the central preoccupations of control

highly nonlinear general dynamical systems. In the study of the dynamics of mechanical systems, the configuration of a given system S is, in general, completely