The \(N\)-link pendulum: embedding nonlinear dynamics into the multidimensional scaling method

DOI10.1016/j.chaos.2015.10.013zbMath1360.70009OpenAlexW1925159340MaRDI QIDQ528372

António M. Lopes, José António Tenreiro Machado

Publication date: 12 May 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.10.013

zbMATH Keywords

dynamical systemsclusteringfractional calculusmultidimensional scaling\(N\)-link pendulum

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Fractional derivatives and integrals (26A33) Dynamics of multibody systems (70E55) Lagrange's equations (70H03)

Related Items

A fractional perspective on the trajectory control of redundant and hyper-redundant robot manipulators

Uses Software

• Mathematica
• sysdfod
• DFOC

Cites Work

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• The human respiratory system. An analysis of the interplay between anatomy, structure, breathing and fractal dynamics
• Finite-time stabilizing a fractional-order chaotic financial system with market confidence
• From Newton's equation to fractional diffusion and wave equations
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• On fractional filtering versus conventional filtering in economics
• Recent history of fractional calculus
• Fractional electromagnetic equations using fractional forms
• A generalized perturbed pendulum.
• A review of definitions for fractional derivatives and integral
• Chaos control of chaotic pendulum system
• Analysis of temperature time-series: embedding dynamics into the MDS method
• Dynamics of the shift in resonance frequency in a triple pendulum
• A numerical analysis of chaos in the double pendulum
• Fractional-order control of a hexapod robot
• Modern multidimensional scaling. Theory and applications.
• Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis
• Multidimensional Scaling Visualization Using Parametric Entropy
• Fractional Euler—Lagrange Equations of Motion in Fractional Space
• Multigrid multidimensional scaling
• Engineering design of a multirate nonlinear controller for robot manipulators
• On the control of a two-dimensional multi-link inverted pendulum: the form of the dynamic equations from choice of co-ordinate system
• Time fractional Schrödinger equation
• On the Historical Development of Human Walking Dynamics
• NUMERICAL AND EXPERIMENTAL STUDY OF REGULAR AND CHAOTIC MOTION OF TRIPLE PHYSICAL PENDULUM
• ANALYSIS OF NON-LINEAR DYNAMICS AND BIFURCATIONS OF A DOUBLE PENDULUM
• Encyclopedia of Distances