On the position of chaotic trajectories

DOI10.1007/s10884-016-9520-zzbMath1403.34036OpenAlexW2306821950MaRDI QIDQ1692100

Josef Diblík, Alessandro Calamai, Matteo Franca, Michal Pospíšil

Publication date: 26 January 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-016-9520-z

zbMATH Keywords

dynamical systemchaotic behaviourbifurcation theoryBernoulli shiftMelnikov theoryHardy potentialMelnikov integral

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Complex behavior and chaotic systems of ordinary differential equations (34C28) Symbolic dynamics (37B10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (2)

New global bifurcation diagrams for piecewise smooth systems: transversality of homoclinic points does not imply chaos ⋮ General Melnikov approach to implicit ODE's

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