Titlebook: Control and Chaos; Kevin Judd,Alistair Mees,Thomas L. Vincent Conference proceedings 1997 Birkh?user Boston 1997 Nonlinear system.bifurcat

單調(diào)性

Triangulating Noisy Dynamical Systemstrajectories or time series. Such reconstructions can produce other trajectories with similar dynamics, so giving a system on which one can conduct experiments, but can also be used to locate equilibria and determine their types, carry out bifurcation studies, estimate state manifolds and so on. In

circuit

Attractor Reconstruction and Control Using Interspike Intervals is true from a series of interspike interval (ISI) measurements. This method of system analysis allows prediction of the spike train from its history. The underlying assumption is that the spike train is generated by an integrate- and-fire model. We show that it is possible to use system reconstruc

miracle

Fibrin

Chaos in Symplectic Discretizations of the Pendulum and Sine-Gordon Equationse homoclinic structures are preserved by symplectic discretizations. We discuss the property of exponentially small splitting distances between the stable and unstable manifolds for symplectic discretizations of the pendulum equation. A description of the sine-Gordon phase space in terms of the asso

locus-ceruleus

Collapsing Effects in Computation of Dynamical Systemsces, complicated theoretical behaviour has a tendency to collapse to either trivial and degenerate behaviour or low order cycles as a result of discretizations. Characteristics of such collapsing effects often seem to depend on the corresponding discretization only in a random way. We describe a pro

珍奇

音樂等

Some Characterisations of Low-dimensional Dynamical Systems with Time-reversal Symmetry the system. Characterising and exploiting this structure can lead to better prediction and explanation of the motion. For example, a well-studied structure is that found in Hamiltonian or conservative dynamical systems. In this paper, we survey our work on dynamical systems with another type of str

Lethargic

Control of Chaos by Means of Embedded Unstable Periodic Orbitschaos. In particular, chaotic attractors typically have an infinite dense set of unstable periodic orbi ts embedded within them. In this paper we review aspects of controlling chaos by means of feedback stabilizing a chosen embedded unstable periodic orbit. Topics include stabilization methods, flex

Peristalsis

Notch Filter Feedback Control for k-Period Motion in a Chaotic Systemtly available methods involve making systematic time-varying small perturbations in the system parameters. A new method is presented here to achieve control over chaotic motion using notch filter output feedback control. The notch filter controller uses an active negative feedback with fixed control

釋放

Targeting and Control of Chaosrbations. Control may be switched between different saddle periodic orbits, but it is necessary to wait for the trajectory to enter a small neighborhood of the saddle point before the control algorithm can be applied..This paper describes an extension of the control idea, called “targeting.” By targ