Limit cycles for a class of discontinuous piecewise generalized kukles differential systems

DOI10.1007/s11071-018-4319-6zbMath1398.34032OpenAlexW2804348826WikidataQ129776540 ScholiaQ129776540MaRDI QIDQ1800914

Regilene D. S. Oliveira, Camila Ap. B. Rodrigues, Ana Cristina Mereu

Publication date: 26 October 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-018-4319-6

zbMATH Keywords

limit cyclesaveraging theorykukles systemspiecewise polynomial differential systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36)

Related Items (3)

Existence of four-crossing-points limit cycles in planar sector-wise linear systems with saddle-saddle dynamics ⋮ Phase portraits of a block-linear dynamical system in a model for a circular gene network ⋮ On the number of limit cycles in general planar piecewise linear differential systems with two zones having two real equilibria

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximum number of limit cycles for certain piecewise linear dynamical systems
• Bifurcation of a non-smooth planar limit cycle from a vertex
• Limit cycles for the kukles system
• Limit cycles for generalized Kukles polynomial differential systems
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Qualitative bifurcation analysis of a non-smooth friction-oscillator model
• Averaging methods for finding periodic orbits via Brouwer degree.
• Coexistence of limit cycles and invariant algebraic curves for a Kukles system
• Cubic systems of nonlinear oscillations with seven limit cycles
• Averaging theory for discontinuous piecewise differential systems
• Limit cycles for \(m\)-piecewise discontinuous polynomial Liénard differential equations
• Periodic solutions of nonlinear periodic differential systems with a small parameter
• Fixed point theory and nonlinear problems
• Higher order averaging theory for finding periodic solutions via Brouwer degree
• Averaging methods in nonlinear dynamical systems

This page was built for publication: Limit cycles for a class of discontinuous piecewise generalized kukles differential systems