The dynamics of globally coupled map lattices can be described in terms of a nonlinear Frobenius–Perron equation in the limit of large system size. This approach allows for an analytical computation of stationary states and their stability. The complete bifurcation behaviour of coupled tent maps near the chaotic band merging point is presented. Furthermore the time independent states of coupled...

In this paper, chaotic behavior in current-mode-controlled dc drive systems has been analyzed. The key is to derive an iterative map that describes the nonlinear system dynamics. Analytical modeling of fundamental and subharmonic oscillations as well as their stability analysis are presented. The results show that the current-mode-controlled dc drive systems generally exhibit chaotic behavior. ...

Using the quantum trajectories approach, we study the quantum dynamics of a dissipative chaotic system described by the Zaslavsky map. For strong dissipation the quantum wave function in the phase space collapses onto a compact packet which follows classical chaotic dynamics and whose area is proportional to the Planck constant. At weak dissipation the exponential instability of quantum dynamic...

Some chaotic properties of a classical particle interacting with a timedependent double-square-well potential are studied. The dynamics of the system is characterised using a two-dimensional nonlinear area-preserving map. Scaling arguments are used to study the chaotic sea in the low energy domain. It is shown that the distributions of successive reflections and of corresponding successive refl...

This paper studies the behavior under iteration of the maps Tab(x, y) = (Fab(x)−y, x) of the plane R2, in which Fab(x) = ax if x ≥ 0 and bx if x < 0. This family of piecewise-linear maps has the parameter space (a, b) ∈ R2. These maps are area-preserving homeomorphisms of R2 that map rays from the origin into rays from the origin. The orbits of the map are solutions of the nonlinear difference ...

Considering the effect of geometric nonlinearity and uniformly distributed time-varying temperature, the bifurcation behaviors and chaotic phenomena of a bimetallic thin circular plate are investigated. First of all, the nonlinear dynamic equation for bimetallic plate is established and further reduced to Duffing equation of harmonic parametric excitation, from which the pitchfork bifurcation p...

The properties of nonlinear dynamics and chaos are shown to be fundamental to optimal communication signals subject to two practical and realistic design requirements: (i) operation in a noisy environment and (ii) simple hardware implementation. Starting with a simple electronic circuit, a linear filter receiver is presumed, and the matched optimal communication waveform that maximizes the rece...

We elucidate the connection between the Kolmogorov-Sinai entropy rate k and the time evolution of the physical or statistical entropy S. For a large family of chaotic conservative dynamical systems including the simplest ones, the evolution of Sstd for far-from-equilibrium processes includes a stage during which S is a simple linear function of time whose slope is k. We present numerical confir...

The nonlinear motion of underactuated mechanisms has drawn recent interests of researchers. The nonlinearity is often referred to as nonholonomy and related to many both theoretical and practical issues. In this paper, we rst analyze the nonlinear behavior of a two-joint planer manipulator with the second joint free from nonlinear dynamics point of view. We then discuss the simultaneous positio...