The Real-Valued Maxwell–Bloch Equations with Controls: From a Hamilton–Poisson System to a Chaotic One

DOI10.1142/S0218127417501437zbMath1373.34026OpenAlexW2751141809MaRDI QIDQ5371180

Cristian Lăzureanu

Publication date: 25 October 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127417501437

zbMATH Keywords

chaotic dynamicsHamiltonian dynamicsMaxwell-Bloch equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Control problems involving ordinary differential equations (34H05) Stability of solutions to ordinary differential equations (34D20) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Stability and energy-Casimir mapping for integrable deformations of the Kermack-McKendrick system ⋮ Integrable Deformations of Three-Dimensional Chaotic Systems ⋮ Homoclinic orbits and Jacobi stability on the orbits of Maxwell–Bloch system ⋮ New symmetric periodic solutions for the Maxwell-Bloch differential system ⋮ Integrable deformations, bi-Hamiltonian structures and nonintegrability of a generalized Rikitake system

Uses Software

• E&F Chaos

Cites Work

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