Dynamics of a system of coupled inverted pendula with vertical forcing

@article{Bhadra2018DynamicsOA,
  title={Dynamics of a system of coupled inverted pendula with vertical forcing},
  author={Nivedita Bhadra and Soumitro Banerjee},
  journal={Chaos, Solitons \& Fractals},
  year={2018}
}
[PDF] Semantic Reader
2 Citations
Background Citations
1

2 Citations

A Self-Stabilized Inverted Pendulum Made of Optically Responsive Liquid Crystal Elastomers

The inverted pendulum system has great potential for various engineering applications, and its stabilization is challenging because of its unstable characteristic. The well-known Kapitza’s pendulum…

Stability and pre-thermalization in chains of classical kicked rotors

Periodic drives are a common tool to control physical systems, but have a limited applicability because time-dependent drives generically lead to heating. How to prevent the heating is a fundamental…

References

SHOWING 1-10 OF 40 REFERENCES

On the dynamics of a vertically driven damped planar pendulum

Results on the dynamics of the planar pendulum with parametric vertical timeperiodic forcing are reviewed and extended. Numerical methods are employed to study the various dynamical features of the…

On the dynamic stabilization of an inverted pendulum

A simple qualitative physical explanation is suggested for the phenomenon of dynamic stabilization of the inverted rigid planar pendulum whose pivot is constrained to oscillate with a high frequency…

Kam theory, Lindstedt series and the stability of the upside-down pendulum

We consider the planar pendulum with support point oscillating in the vertical direction; the upside-down position of the pendulum corresponds to an equilibrium point for the projection of the …

Stability and Hopf bifurcations in an inverted pendulum

The inverted state of a simple pendulum is a configuration of unstable equilibrium. This instability may be removed if the pivot is harmonically displaced up and down with appropriate frequency and…

Dynamical stability of a many-body Kapitza pendulum

On the synchronization of chains of nonlinear pendula connected by linear springs

In this work the theoretical model of multidimensional physical systems, representable as chains of nonlinearly coupled chaotic pendula subjected to harmonic excitations, is formulated and its…

On the stability of the upside–down pendulum with damping

A rigorous analysis is presented in order to show that, in the presence of friction, the upward equilibrium position of the vertically driven pendulum, with a small nonvanishing damping term, becomes…

The inverted pendulum : A singularity theory approach

The inverted pendulum with small parametric forcing is considered as an example of a wider class of parametrically forced Hamiltonian systems. The qualitative dynamics of the Poincare map…

Nonlinear behavior and control of a nonholonomic free-joint manipulator

This work analyzes the nonlinear behavior of a two-joint planar manipulator with the second joint free from nonlinear dynamics point of view and proposes an amplitude modulation of the feedback error.

Bifurcations and transitions to chaos in an inverted pendulum

We consider a parametrically forced pendulum with a vertically oscillating suspension point. It is well known that, as the amplitude of the vertical oscillation is increased, its inverted state…