Quantifying Poincaré's continuation method for nonlinear oscillators

DOI10.1155/2015/836312zbMath1433.34054OpenAlexW1818326885WikidataQ59101440 ScholiaQ59101440MaRDI QIDQ1668937

Andrés Rivera, Daniel E. Nuñez

Publication date: 29 August 2018

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/836312

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (2)

Quantitative Stability of Certain Families of Periodic Solutions in the Sitnikov Problem ⋮ Stability of odd periodic solutions in a resonant oscillator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamical stability of quasi-periodic response solutions in planar conservative systems
• KAM dynamics and stabilization of a particle sliding over a periodically driven curve
• On the motion of an oscillator with a periodically time-varying mass
• A geometric description of a macroeconomic model with a center manifold
• The twist coefficient of periodic solutions of a time-dependent Newton's equation
• A forced pendulum equation with many periodic solutions
• First derivative of the period function with applications
• Periodic solutions of a Newtonian equation: Stability by the third approximation
• Global bifurcations from the center of mass in the Sitnikov problem
• On the Families of Periodic Orbits of the Sitnikov Problem
• Stabilization by vertical vibrations
• Twist Character of the Least Amplitude Periodic Solution of the Forced Pendulum
• THE BEST BOUND ON THE ROTATIONS IN THE STABILITY OF PERIODIC SOLUTIONS OF A NEWTONIAN EQUATION
• Periodic solutions of perturbed second-order autonomous equations

This page was built for publication: Quantifying Poincaré's continuation method for nonlinear oscillators