Lie Algebras, Structure of Nonlinear Systems and Chaotic Motion

DOI10.1142/S021812749800111XzbMath0996.37035OpenAlexW2027991197MaRDI QIDQ4941318

No author found.

Publication date: 29 February 2000

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

Full work available at URL: https://doi.org/10.1142/s021812749800111x

zbMATH Keywords

stabilitychaotic motionlarge scale structureLie subalgebra

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Geometric methods in ordinary differential equations (34A26) Nonlinear ordinary differential equations and systems (34A34) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Smooth dynamical systems: general theory (37C99)

Related Items (9)

The chaotic region of Lorenz-type system in the parametric space ⋮ Optimal output tracking control for nonlinear systems via successive approximation approach ⋮ OPTIMAL CONTROL OF CHAOS IN NONLINEAR DRIVEN OSCILLATORS VIA LINEAR TIME-VARYING APPROXIMATIONS ⋮ Optimal control of nonlinear time-delay systems with persistent disturbances ⋮ ANALYSIS AND STRUCTURE OF A NEW CHAOTIC SYSTEM ⋮ Nonlinear optimal tracking control with application to super-tankers for autopilot design ⋮ Variable structure disturbance rejection control for nonlinear uncertain systems with state and control delays via optimal sliding mode surface approach ⋮ Global optimal feedback control for general nonlinear systems with nonquadratic performance criteria ⋮ Optimal control of nonlinear systems with input constraints using linear time varying approximations

Cites Work

• Perturbations of nonlinear systems of differential equations. II
• Spiegelungsgruppen und Aufzählung halbeinfacher Liescher Ringe
• LORENZ EQUATION AND CHUA’S EQUATION
• Lie algebras and the stability of nonlinear systems
• ON PERIODIC ORBITS AND HOMOCLINIC BIFURCATIONS IN CHUA’S CIRCUIT WITH A SMOOTH NONLINEARITY
• Pseudo-linear systems, Lie algebras, and stability

This page was built for publication: Lie Algebras, Structure of Nonlinear Systems and Chaotic Motion