Chaos in the motion of atoms and molecules composing fluids is a new topic in nonequilibrium physics. Relationships have been established between the characteristic quantities of chaos and the transport coefficients thanks to the concept of fractal repeller and the escape-rate formalism. Moreover, the hydrodynamic modes of relaxation to the thermodynamic equilibrium as well as the nonequilibriu...

We present a route to high-dimensional chaos, that is, chaos with more than one positive Lyapunov exponent. In this route, as a system parameter changes, a subsystem becomes chaotic through, say, a cascade of period-doubling bifurcations, after which the complementary subsystem becomes chaotic, leading to an additional positive Lyapunov exponent for the whole system. A characteristic feature of...

In this paper, a chaos-based spread spectrum watermarking algorithm is developed in the DCT domain for still image. The most important feature of chaos is its sensitivity to initial conditions. This characteristic makes chaos has been used successfully for secure watermarking and encryption. In our algorithm, we use logistic map to produce pseudo-random sequence. We use the logistic map twice: ...

In the present paper we study certain characteristic features associated with bifurcations of chaos in a ®nite dimensional dynamical system ± Murali±Lakshmanan±Chua (MLC) circuit equation and an in®nite dimensional dynamical system ± one-way coupled map lattice (OCML) system. We characterize chaotic attractors at various bifurcations in terms of r n …q† ± the variance of ¯uctuations of coarse-g...

We discuss the occurrence of chimera states in networks of nonlocally coupled bistable oscillators, in which individual subsystems are characterized by the coexistence of regular (a fixed point or a limit cycle) and chaotic attractors. By analyzing the dependence of the network dynamics on the range and strength of coupling, we identify parameter regions for various chimera states, which are ch...

In this paper we have studied the dynamics of a non driven circuit of fourth-order. The circuit constitutes of two active elements, one linear negative conductance and one non linear resistor exhibiting a symmetrical piecewise linear v-i characteristic. The resistor R1, which couples the negative conductance and the nonlinear element, serves as the control parameter of the system. We have obser...

Life seems to be at the border between order and chaos. The Game of Life, which is a cellular automation to mimic life, also lies at the transition between ordered and chaotic structures. Kauffman recently that the organizations at the edge of chaos may be the characteristic target of selection for systems able to coordinate complex tasks and adapt. In this paper, we present the idea of perpetu...

A systematic experiment verification of Chaos Embedded Sliding Mode Extremum Seeking Control for maximum power point tracking and a method for detecting possible faults in small wind turbine systems in advance are proposed in this paper. The chaotic logistic map is used to replace the random function in the particle swarm optimization algorithm for faster searching the optimal control parameter...

We revive the long standing Boltzmann-Loschmidt polemic which confronts irreversible Thermodynamics with reversible Mechanics. While this is solved within classical physics by the theory of Chaos, until now, there is no quantum de ̄nition of dynamical chaos. A nice possibility o®ered by NMR is to invert the direction of time (quantum Loschmidt daemon) in a many-body spin system. The e±ciency of ...

A paradox regarding the classic power spectral analysis of heart rate variability (HRV) is whether the characteristic high- (HF) and low-frequency (LF) spectral peaks represent stochastic or chaotic phenomena. Resolution of this fundamental issue is key to unraveling the mechanisms of HRV, which is critical to its proper use as a noninvasive marker for cardiac mortality risk assessment and stra...