CONTROLLING CHAOS TO A CLASS OF PDEs BY APPLYING INVARIANT MANIFOLD AND STRUCTURE STABILITY THEORY
DOI10.1142/S021812740501234XzbMath1082.37032OpenAlexW2090617101MaRDI QIDQ5311790
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Publication date: 29 August 2005
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021812740501234x
global attractorfeedback controlpartial differential equationsLyapunov exponentdifference systemflow on
Feedback control (93B52) Dynamical systems in control (37N35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Invariant manifold theory for dynamical systems (37D10) Difference equations (39A99)
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Cites Work
- On the bifurcation phenomena in truncations of the 2D Navier-Stokes equations.
- Double-mode modeling of chaotic and bifurcation dynamics for a simply supported rectangular plate in large deflection
- Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations
- Upper semicontinuity of attractors and synchronization
- Structural stability for scalar parabolic equations
- Homoclinic orbits and chaos in discretized perturbed NLS systems. I: Homoclinic orbits
- Homoclinic orbits and chaos in discretized perturbed NLS systems. II: Symbolic dynamics
- The dynamics of a one-dimensional parabolic problem versus the dynamics of its discretization
- Chaotic and bifurcation dynamics for a simply supported rectangular plate of the thermo-mechanical coupling in large deflection.
- An application of inertial manifold theory to boundary stabilization of semilinear diffusion systems
- Numerical bifurcation and stability analysis of solitary pulses in an excitable reaction-diffusion medium
- Synchronization of spatiotemporal chemical chaos using random signals
- Jacobi matrices and transversality
- On the Compuation of Lyapunov Exponents for Continuous Dynamical Systems
- Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span
- Singular Perturbation Theory for Homoclinic Orbits in a Class of Near- Integrable Dissipative Systems
- Spatiotemporal chaos in spatially extended systems
- Spatial chaos in a fourth-order nonlinear parabolic equation
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