Localization of simple and complex dynamics in nonlinear systems

DOI10.1134/S001226611511004XzbMath1337.34045MaRDI QIDQ258176

Alexander P. Krishchenko

Publication date: 17 March 2016

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Duffing equation

Mathematics Subject Classification ID

Invariant manifolds for ordinary differential equations (34C45) Attractors of solutions to ordinary differential equations (34D45)

Related Items

Localization of invariant compacts in multidimensional systems with phase control ⋮ Localization of invariant compact sets for continuous systems with uncertainties ⋮ Asymptotic stability analysis of autonomous systems by applying the method of localization of compact invariant sets ⋮ Investigation of asymptotic stability of equilibria by localization of the invariant compact sets ⋮ Behavior of trajectories in localizing sets ⋮ Qualitative properties of a Duffing system with polynomial nonlinearity ⋮ Construction of Lyapunov functions by the method of localization of invariant compact sets ⋮ On the efficiency of the functional localization method ⋮ Behavior of trajectories of systems with nonnegative variables ⋮ Behavior of trajectories of time-invariant systems ⋮ Localizing sets and trajectory behavior ⋮ Global asymptotic stability analysis by the localization method of invariant compact sets ⋮ Localizing sets and behavior of trajectories of time-varying systems ⋮ Behavior of trajectories of the Levinson-Smith equation ⋮ Nonnegative solutions of systems with fractional-rational right-hand sides and localization of attractors

Cites Work

• Unnamed Item
• Unnamed Item
• Localization of invariant compact sets of discrete systems
• Localization of compact invariant sets of discrete-time systems with disturbances
• Compact invariant sets of the Bianchi VIII and Bianchi IX Hamiltonian systems
• Localization of invariant compact sets of nonautonomous systems
• Estimations of domains with cycles
• Domains of existence of cycles
• Localization of compact invariant sets of a new nonlinear finance chaotic system
• Localization of compact invariant sets of the Lorenz system
• Localization of control robust invariant compact sets in continuous systems
• Localization of invariant compact sets of dynamical systems
• ON THE BOUNDNESS OF SOME SOLUTIONS OF THE LÜ SYSTEM
• ESTIMATION OF THE DOMAIN CONTAINING ALL COMPACT INVARIANT SETS OF THE OPTICALLY INJECTED LASER SYSTEM
• LOCALIZATION OF COMPACT INVARIANT SETS OF NONLINEAR TIME-VARYING SYSTEMS
• LOCALIZATION OF COMPACT INVARIANT SETS OF NONLINEAR SYSTEMS WITH APPLICATIONS TO THE LANFORD SYSTEM
• Dynamical Analysis of Raychaudhuri Equations Based on the Localization Method of Compact Invariant Sets