Bifurcations of chaotic attractors in a piecewise smooth Lorenz-type system

DOI10.1134/S0005117920080020zbMath1454.93102OpenAlexW3090476322MaRDI QIDQ828526

N. V. Barabash, Igor V. Belykh, Vladimir N. Belykh

Publication date: 9 January 2021

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117920080020

zbMATH Keywords

chaoslimit cyclebifurcationsstrange attractordynamic systemsliding motion

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Attractors of solutions to ordinary differential equations (34D45) Control/observation systems governed by ordinary differential equations (93C15) Chaos control for problems involving ordinary differential equations (34H10)

Related Items

Heteroclinic Cycles Generated by Piecewise Affine Systems in ℝn, Chaos in coupled heteroclinic cycles and its piecewise-constant representation, Sliding homoclinic bifurcations in a Lorenz-type system: Analytic proofs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two mechanisms of the transition to chaos in finite-dimensional models of convection
• Birth and death of the double scroll
• Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
• Periodic motions and grazing in a harmonically forced, piecewise, linear oscillator with impacts
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Piecewise-smooth dynamical systems. Theory and applications
• Stochastic Regular Grazing Bifurcations
• Investigation of a piecewise linear dynamical system with three parameters
• Global bifurcations of the Lorenz manifold
• Lateral excitation of bridges by balancing pedestrians
• Finding First Foliation Tangencies in the Lorenz System
• Deterministic Nonperiodic Flow
• A Lorenz-type attractor in a piecewise-smooth system: Rigorous results
• Elements of applied bifurcation theory