Impulsive differential equations are a basic tool to study evolution processes that are subjected to abrupt changes in their state. For instance, many biological, physical, and engineering applications exhibit impulsive effects see 1–3 . It should be noted that recent progress in the development of the qualitative theory of impulsive differential equations has been stimulated primarily by a num...

Obsessive compulsive and impulsive symptoms are prevalent in patients with Tourette's Syndrome (TS) and well recognized as part of the TS spectrum. However, some complex obsessive compulsive and impulsive behaviors may be mistaken for other symptoms, such as complex tics or psychotic behavior. In addition, the overlap between tics, compulsions, and impulsive actions can make them impossible to ...

Secure communication using synchronization between chaotic systems(chaotic secure communication, for short) is a new concept of secure communication. The great potentials of this kind of “hardware key” secure communication systems had driven the progress of this field rapidly. Since 1992, chaotic secure communication had evolved four generations. In this paper, a detailed history of chaotic sec...

This paper proposes an new iterative method to recover the signals corrupted by impulsive noise in MIMO-OFDM systems over In-home PLC. In this iterative technique, preliminary decisions are made to get the impulsive noise detection algorithm for finding the locations and amplitudes of the impulses, and then signal estimation block for approximation the signals for two-branch 2*2 MIMO-OFDM at th...

As the impulsive differential equations are useful in modelling many real processes observed in physics, chemistry, biology, engineering, etc., see [1, 11, 13, 20, 21, 22, 25, 26, 27], there has been an increasing interest in studying such equations from the point of view of stability, asymptotic behavior, existence of periodic solutions, and oscillation of solutions. The classical theory can b...

Human cooperation may partly depend on the presence of individuals willing to incur personal costs to punish noncooperators. The psychological factors that motivate such 'altruistic punishment' are not fully understood; some have argued that altruistic punishment is a deliberate act of norm enforcement that requires self-control, while others claim that it is an impulsive act driven primarily b...

A class of the linear impulsive periodic system with time-varying generating operators on Banach space is considered. By constructing the impulsive evolution operator, the existence of T0-periodic PC-mild solution for homogeneous linear impulsive periodic system with time-varying generating operators is reduced to the existence of fixed point for a suitable operator. Further the alternative res...

The theory of impulsive differential equations is emerging as an important area of investigation, since it is a lot richer than the corresponding theory of differential equations without impulse effects. Moreover, such equations may exhibit several real world phenomena in physics, biology, engineering, etc. (see [3, 4, 20]). At the same time, the boundary value problems for impulsive differenti...

In this paper, we present results of the robust stability analysis for the class of nonlinear uncertain singularly impulsive dynamical systems. We present sufficient conditions for the robust stability of a class of nonlinear uncertain singularly impulsive dynamical systems. The problem of evaluating performance bounds for a nonlinear-nonquadratic hybrid cost functional depending upon a class o...

In this paper an application is presented of the wavelet packet method for denoising of impulsive vibration signals. Vibration response of machines often includes signals with periodic excitation of resonances. The aim is to extract information regarding the physical mechanism which generates the impulsive characteristics of the signals. The signals are transformed using the wavelet packet meth...