Multiple Forced rotations for the N-pendulum Equation
Hui Qiao
TL;DR
This paper studies the planar forced N-pendulum equation and demonstrates the existence of multiple rotational solutions, contributing to the understanding of complex pendulum dynamics under forcing.
Contribution
It introduces a method to find multiple rotational solutions for the forced N-pendulum equation, a novel approach in this area.
Findings
Existence of multiple rotational solutions
Advancement in solving forced N-pendulum equations
New analytical techniques for pendulum dynamics
Abstract
In this paper, we consider the planar forced N-pendulum equation. Multiple rotational solutions are obtained.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Quantum chaos and dynamical systems · Numerical methods for differential equations