Homoclinical structure of the chaotic attractor

DOI10.1016/j.cnsns.2009.05.042zbMath1221.34124OpenAlexW2073369247MaRDI QIDQ717424

Marat U. Akhmet

Publication date: 2 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.05.042

zbMATH Keywords

homoclinic solutionshyperbolic setsheteroclinic solutionsrelay differential equations

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (6)

Impulsive SICNNs with chaotic postsynaptic currents ⋮ Extension of spatiotemporal chaos in glow discharge-semiconductor systems ⋮ Homoclinic and Heteroclinic Motions in Economic Models with Exogenous Shocks ⋮ Differential equations with state-dependent piecewise constant argument ⋮ Shunting inhibitory cellular neural networks with chaotic external inputs ⋮ Entrainment by chaos

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Devaney's chaos of a relay system
• Global bifurcations and chaos. Analytical methods
• On the reduction principle for differential equations with piecewise constant argument of generalized type
• DYNAMICAL SYNTHESIS OF QUASI-MINIMAL SETS

This page was built for publication: Homoclinical structure of the chaotic attractor