On existence of attractors in dissipative three-dimensional systems

DOI10.1007/s10778-019-00978-8zbMath1437.70038OpenAlexW2987072785MaRDI QIDQ783018

N. V. Nikitina

Publication date: 29 July 2020

Published in: International Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10778-019-00978-8

zbMATH Keywords

chaosnonlinear systemsbifurcationlimit cyclesymmetry principles

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On periodic motion and bifurcations in three-dimensional nonlinear systems
• Synergetics. An introduction. Nonequilibrium phase transitions and self- organization in physics, chemistry and biology. 2nd enl. ed
• Analyzing the mechanisms of loss of orbital stability in mathematical models of three-dimensional systems
• The Tricomi problem on the existence of homoclinic orbits in dissipative systems
• The principle of symmetry in three-dimensional systems
• Bifurcations and multistability of the oscillations of a three-dimensional system

This page was built for publication: On existence of attractors in dissipative three-dimensional systems