Chaotic period-doubling and OGY control for the forced Duffing equation
From MaRDI portal
Publication:430509
DOI10.1016/j.cnsns.2011.09.016zbMath1253.34048OpenAlexW1967631930MaRDI QIDQ430509
Marat U. Akhmet, Mehmet Onur Fen
Publication date: 21 June 2012
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.2011.09.016
Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Chaos control for problems involving ordinary differential equations (34H10)
Related Items (14)
Extension of Lorenz Unpredictability ⋮ Impulsive SICNNs with chaotic postsynaptic currents ⋮ Chaotification of Impulsive Systems by Perturbations ⋮ Extension of spatiotemporal chaos in glow discharge-semiconductor systems ⋮ Linear feedback synchronization used in the three-dimensional Duffing system ⋮ State observer synchronization used in the three-dimensional Duffing system ⋮ Antiperiodic solutions for a kind of nonlinear Duffing equations with a deviating argument and time-varying delay ⋮ Existence of unpredictable solutions and chaos ⋮ Chaotic motion in forced Duffing system subject to linear and nonlinear damping ⋮ Replication of chaos ⋮ Shunting inhibitory cellular neural networks with chaotic external inputs ⋮ Extended framework of Hamilton's principle applied to Duffing oscillation ⋮ Li–Yorke Chaos in Hybrid Systems on a Time Scale ⋮ Entrainment by chaos
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The complex dynamics of the cardiovascular system
- Fixed points indices and period-doubling cascades
- Devaney's chaos of a relay system
- Nonlinear hybrid continuous/discrete-time models
- Control of impact oscillator
- Cybernetical physics. From control of chaos to quantum control.
- Adaptive backstepping control of uncertain systems. Nonsmooth nonlinearities, interactions or time-variations
- Vibro-impact dynamics. Modeling, mapping and applications
- Structural stability of Lorenz attractors
- Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
- Controlling chaotic oscillators without feedback
- Stabilization of period doubling bifurcations and implications for control of chaos
- Occurrence of multiple period-doubling bifurcation route to chaos in periodically pulsed chaotic dynamical systems
- Hybrid dynamical systems. Controller and sensor switching problems
- An introduction to hybrid dynamical systems
- Cryptography with chaos
- Linear and optimal nonlinear control of one-dimensional maps.
- A comparative study of computation of Lyapunov spectra with different algorithms
- Evolutionary algorithms and chaotic systems
- Piecewise-smooth dynamical systems. Theory and applications
- Period-doubling cascades for large perturbations of Hénon families
- Li-Yorke chaos in the system with impacts
- Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators
- Power spectra of chaotic vibrations of a buckled beam
- Principles of Discontinuous Dynamical Systems
- DYNAMICAL SYNTHESIS OF QUASI-MINIMAL SETS
- Qualitative analysis of the periodically forced relaxation oscillations
- Analysis of a random repeated impact process
- A magnetoelastic strange attractor
- Properties of cross-well chaos in an impacting system
- Impulsive Control and Synchronization of Nonlinear Dynamical Systems and Application to Secure Communication
- Compensation for Distributed Hysteresis Operators in Active Structural Systems
- Bifurcation and Chaos in Nonsmooth Mechanical Systems
- Controlling chaos
- Taming chaotic dynamics with weak periodic perturbations
- The role of synchronization in digital communications using chaos. II. Chaotic modulation and chaotic synchronization
- On time-delayed feedback control of chaotic systems
- Master-slave synchronization from the point of view of global dynamics
- CONTROLLING CHAOS IN A STATE-DEPENDENT NONLINEAR SYSTEM
- Synchronization in chaotic systems
- SHADOWING AND DYNAMICAL SYNTHESIS
- Application of impulsive synchronization to communication security
- Simple mathematical models with very complicated dynamics
- Handbook of Chaos Control
- Chaos
This page was built for publication: Chaotic period-doubling and OGY control for the forced Duffing equation
